Last Revised: 2020-08-02
Introduction
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00:00: [intro] Unit: Introduction
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00:18: [intro] Signals
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01:41: [intro] Classification of Signals
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06:01: [intro] Graphical Representation of Signals
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07:09: [intro] Systems
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07:44: [intro] Classification of Systems
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09:19: [intro] Signal Processing Systems
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11:50: [intro] Communication Systems
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14:01: [intro] Control Systems
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17:52: [intro] Why Study Signals and Systems?
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20:03: [intro] System Failure Example: Tacoma Narrows Bridge
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22:41: [intro] System Failure Example: Tacoma Narrows Bridge (Continued)
Complex Analysis
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00:00: [complex] Unit: Complex Analysis
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00:26: [complex] Complex Numbers
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01:45: [complex] Complex Numbers (Continued)
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03:07: [complex] Geometric Interpretation of Cartesian and Polar Forms
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03:58: [complex] The arctan Function
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07:14: [complex] The atan2 Function
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08:32: [complex] Conversion Between Cartesian and Polar Form
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09:46: [complex] Properties of Complex Numbers
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11:02: [complex] Conjugation
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12:08: [complex] Properties of Conjugation
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13:37: [complex] Addition
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14:38: [complex] Multiplication
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15:44: [complex] Division
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17:47: [complex] Properties of the Magnitude and Argument
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18:56: [complex] Euler's Relation and De Moivre's Theorem
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20:06: [complex] Roots of Complex Numbers
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21:05: [complex] Quadratic Formula
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22:04: [complex] Complex Functions
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23:35: [complex] Continuity
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25:11: [complex] Differentiability
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26:40: [complex] Open Disks
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27:53: [complex] Analyticity
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29:51: [complex] Example A.10
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30:27: [complex] Example A.11
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31:25: [complex] Zeros and Singularities
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35:20: [complex] Zeros and Poles of a Rational Function
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39:00: [complex] Example A.12
Preliminaries — Introduction
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00:00: [prelim] Unit: Preliminaries
Preliminaries — Functions, Sequences, System Operators, and Transforms
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00:00: [prelim] Section: Functions, Sequences, System Operators, and Transforms
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00:11: [prelim] Sets
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01:07: [prelim] Notation for Intervals on the Real Line
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03:41: [prelim] Mappings
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06:19: [prelim] Functions
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09:59: [prelim] Example 2.2
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15:58: [prelim] Sequences
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19:42: [prelim] System Operators
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22:48: [prelim] Remarks on Operator Notation for CT Systems
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28:21: [prelim] Example 2.6
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30:08: [prelim] Example 2.7
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31:38: [prelim] Transforms
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32:49: [prelim] Examples of Transforms
Preliminaries — Signal Properties
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00:00: [prelim] Section: Properties of Signals
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00:10: [prelim] Even Symmetry
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01:53: [prelim] Odd Symmetry
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03:59: [prelim] Conjugate Symmetry
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05:04: [prelim] Periodicity
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06:46: [prelim] Periodicity (Continued 1)
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07:49: [prelim] Periodicity (Continued 2)
CT Signals and Systems — Introduction
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00:00: [ctsigsys] Unit: Continuous-Time (CT) Signals and Systems
CT Signals and Systems — Independent/Dependent-Variable Transformations
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00:00: [ctsigsys] Section: Independent- and Dependent-Variable Transformations
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00:18: [ctsigsys] Time Shifting (Translation)
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01:24: [ctsigsys] Time Shifting (Translation): Example
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03:17: [ctsigsys] Time Reversal (Reflection)
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04:45: [ctsigsys] Time Compression/Expansion (Dilation)
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06:02: [ctsigsys] Time Compression/Expansion (Dilation): Example
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08:04: [ctsigsys] Time Scaling (Dilation/Reflection)
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10:21: [ctsigsys] Time Scaling (Dilation/Reflection): Example
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11:57: [ctsigsys] Combined Time Scaling and Time Shifting
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19:36: [ctsigsys] Exercise 3.3
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25:55: [ctsigsys] Combined Time Scaling and Time Shifting: Example
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28:26: [ctsigsys] Two Perspectives on Independent-Variable Transformations
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31:14: [ctsigsys] Demonstration: Two Views of Time-Shifting Transformations
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33:26: [ctsigsys] Amplitude Scaling
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35:19: [ctsigsys] Amplitude Shifting
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36:11: [ctsigsys] Combined Amplitude Scaling and Amplitude Shifting
CT Signals and Systems — Function Properties
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00:00: [ctsigsys] Section: Properties of Functions
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00:11: [ctsigsys] Symmetry and Addition/Multiplication
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02:28: [ctsigsys] Decomposition of a Function into Even and Odd Parts
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04:48: [ctsigsys] Theorem 3.1
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08:17: [ctsigsys] Sum of Periodic Functions
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11:50: [ctsigsys] Example 3.2
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14:00: [ctsigsys] Example 3.4
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17:17: [ctsigsys] Right-Sided Functions
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19:49: [ctsigsys] Left-Sided Functions
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21:54: [ctsigsys] Finite-Duration and Two-Sided Functions
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23:32: [ctsigsys] Bounded Functions
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25:14: [ctsigsys] Energy and Power of a Function
CT Signals and Systems — Elementary Functions
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00:00: [ctsigsys] Section: Elementary Functions
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00:17: [ctsigsys] Real Sinusoidal Functions
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00:49: [ctsigsys] Complex Exponential Functions
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01:23: [ctsigsys] Real Exponential Functions
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02:35: [ctsigsys] Complex Sinusoidal Functions
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03:49: [ctsigsys] Complex Sinusoidal Functions (Continued)
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04:15: [ctsigsys] Plots of Complex Sinusoidal Functions
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05:14: [ctsigsys] General Complex Exponential Functions
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07:00: [ctsigsys] General Complex Exponential Functions (Continued)
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07:44: [ctsigsys] Unit-Step Function
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09:08: [ctsigsys] Signum Function
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09:50: [ctsigsys] Rectangular Function
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10:59: [ctsigsys] Cardinal Sine Function
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12:55: [ctsigsys] Unit-Impulse Function
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17:25: [ctsigsys] Unit-Impulse Function as a Limit
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19:55: [ctsigsys] Properties of the Unit-Impulse Function
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22:17: [ctsigsys] Figure: Graphical Interpretation of Equivalence Property
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24:23: [ctsigsys] Example 3.8
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25:55: [ctsigsys] Example 3.9
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29:34: [ctsigsys] Example 3.10
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36:30: [ctsigsys] Representing a Rectangular Pulse (Using Unit-Step Functions)
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39:08: [ctsigsys] Example 3.11
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43:06: [ctsigsys] Representing Functions Using Unit-Step Functions
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44:21: [ctsigsys] Example 3.12
CT Signals and Systems — Systems
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00:00: [ctsigsys] Section: Continuous-Time (CT) Systems
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00:13: [ctsigsys] CT Systems
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02:36: [ctsigsys] Block Diagram Representations
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02:57: [ctsigsys] Interconnection of Systems
CT Signals and Systems — System Properties
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00:00: [ctsigsys] Section: Properties of (CT) Systems
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00:11: [ctsigsys] Memory
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02:45: [ctsigsys] Memory (Continued)
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04:42: [ctsigsys] Example 3.15
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06:09: [ctsigsys] Example 3.16
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08:02: [ctsigsys] Causality
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11:14: [ctsigsys] Causality (Continued)
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12:58: [ctsigsys] Example 3.19
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14:36: [ctsigsys] Example 3.20
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16:28: [ctsigsys] Invertibility
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20:53: [ctsigsys] Invertibility (Continued)
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22:39: [ctsigsys] Example 3.23
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27:28: [ctsigsys] Example 3.24
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31:22: [ctsigsys] Bounded-Input Bounded-Output (BIBO) Stability
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34:57: [ctsigsys] Example 3.27
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37:46: [ctsigsys] Example 3.28
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40:37: [ctsigsys] Time Invariance (TI)
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43:30: [ctsigsys] Time Invariance (Continued)
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44:59: [ctsigsys] Example 3.32
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47:28: [ctsigsys] Example 3.33
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51:27: [ctsigsys] Additivity, Homogeneity, and Linearity
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56:03: [ctsigsys] Additivity, Homogeneity, and Linearity (Continued 1)
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58:38: [ctsigsys] Additivity, Homogeneity, and Linearity (Continued 2)
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01:00:21: [ctsigsys] Example 3.35
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01:03:58: [ctsigsys] Example 3.36
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01:08:59: [ctsigsys] Eigenfunctions of Systems
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01:10:44: [ctsigsys] Example 3.41
CT LTI Systems — Introduction
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00:00: [ctltisys] Unit: Continuous-Time Linear Time-Invariant (LTI) Systems
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00:52: [ctltisys] Why Linear Time-Invariant (LTI) Systems?
CT LTI Systems — Convolution
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00:00: [ctltisys] Section: Convolution
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00:15: [ctltisys] CT Convolution
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03:32: [ctltisys] Example X.4.1
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10:46: [ctltisys] Practical Convolution Computation
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14:25: [ctltisys] Example 4.1
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34:26: [ctltisys] Exercise 4.18(u)
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46:21: [ctltisys] Properties of Convolution
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49:03: [ctltisys] Theorem 4.1
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56:06: [ctltisys] Representation of Functions Using Impulses
CT LTI Systems — Convolution and LTI Systems
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00:00: [ctltisys] Section: Convolution and LTI Systems
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00:19: [ctltisys] Impulse Response
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03:03: [ctltisys] Theorem 4.5
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07:14: [ctltisys] Example 4.5
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10:52: [ctltisys] Step Response
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12:52: [ctltisys] Block Diagram Representation of LTI Systems
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13:31: [ctltisys] Interconnection of LTI Systems
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16:31: [ctltisys] Example 4.7
CT LTI Systems — Properties of LTI Systems
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00:00: [ctltisys] Section: Properties of LTI Systems
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00:35: [ctltisys] Memory
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04:03: [ctltisys] Example 4.8
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06:21: [ctltisys] Example 4.9
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07:14: [ctltisys] Causality
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09:32: [ctltisys] Example 4.10
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12:09: [ctltisys] Example 4.11
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14:29: [ctltisys] Invertibility
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16:39: [ctltisys] Example 4.12
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20:12: [ctltisys] BIBO Stability
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21:56: [ctltisys] Example 4.14
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27:32: [ctltisys] Example 4.15
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32:22: [ctltisys] Eigenfunctions of LTI Systems
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35:10: [ctltisys] Representations of Functions Using Eigenfunctions
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38:07: [ctltisys] Example: Corollary of Theorem 4.12
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41:29: [ctltisys] Example 4.16
Interlude
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CT Fourier Series — Introduction
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00:00: [ctfs] Unit: Continuous-Time Fourier Series (CTFS)
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00:31: [ctfs] Introduction
CT Fourier Series — Fourier Series
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00:00: [ctfs] Section: Fourier Series
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00:16: [ctfs] Harmonically-Related Complex Sinusoids
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01:42: [ctfs] CT Fourier Series
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03:51: [ctfs] CT Fourier Series (Continued)
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06:37: [ctfs] Example 5.1
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13:28: [ctfs] Example 5.3
CT Fourier Series — Convergence Properties of Fourier Series
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00:00: [ctfs] Section: Convergence Properties of Fourier Series
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00:32: [ctfs] Remarks on Equality of Functions
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06:06: [ctfs] Convergence of Fourier Series
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08:48: [ctfs] Convergence of Fourier Series (Continued)
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10:38: [ctfs] Convergence of Fourier Series: Continuous Case
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11:40: [ctfs] Convergence of Fourier Series: Finite-Energy Case
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12:55: [ctfs] Dirichlet Conditions
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17:21: [ctfs] Convergence of Fourier Series: Dirichlet Case
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18:50: [ctfs] Example 5.6
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22:14: [ctfs] Gibbs Phenomenon
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23:28: [ctfs] Gibbs Phenomenon: Periodic Square Wave Example
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23:41: [ctfs] Gibbs Phenomenon: Periodic Square Wave Example [Annotated]
CT Fourier Series — Properties of Fourier Series
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00:00: [ctfs] Section: Properties of Fourier Series
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00:14: [ctfs] Properties of (CT) Fourier Series
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00:33: [ctfs] Linearity
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01:25: [ctfs] Even and Odd Symmetry
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02:07: [ctfs] Real Functions
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04:36: [ctfs] Trigonometric Forms of a Fourier Series
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08:07: [ctfs] Other Properties of Fourier Series
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09:20: [ctfs] Zeroth Coefficient of Fourier Series
CT Fourier Series — Fourier Series and Frequency Spectra
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00:00: [ctfs] Section: Fourier Series and Frequency Spectra
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00:20: [ctfs] A New Perspective on Functions: The Frequency Domain
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01:50: [ctfs] Motivating Example
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04:53: [ctfs] Motivating Example (Continued)
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07:01: [ctfs] Fourier Series and Frequency Spectra
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10:10: [ctfs] Fourier Series and Frequency Spectra (Continued)
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12:20: [ctfs] Example 5.7
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20:20: [ctfs] Frequency Spectra of Real Functions
CT Fourier Series — Fourier Series and LTI Systems
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00:00: [ctfs] Section: Fourier Series and LTI Systems
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00:22: [ctfs] Frequency Response
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03:26: [ctfs] Fourier Series and LTI Systems
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05:24: [ctfs] Example 5.9
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09:27: [ctfs] Filtering
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10:42: [ctfs] Ideal Lowpass Filter
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12:05: [ctfs] Ideal Highpass Filter
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13:26: [ctfs] Ideal Bandpass Filter
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15:20: [ctfs] Example 5.10
CT Fourier Transform — Introduction
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00:00: [ctft] Unit: CT Fourier Transform
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00:38: [ctft] Motivation for the Fourier Transform
CT Fourier Transform — Fourier Transform
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00:00: [ctft] Section: Fourier Transform
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00:13: [ctft] Development of the Fourier Transform [Aperiodic Case]
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01:44: [ctft] Development of the Fourier Transform [Aperiodic Case] (Continued)
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03:58: [ctft] Generalized Fourier Transform
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05:33: [ctft] CT Fourier Transform (CTFT)
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07:12: [ctft] Example 6.1
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09:43: [ctft] Example 6.3
CT Fourier Transform — Convergence Properties
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00:00: [ctft] Section: Convergence Properties of the Fourier Transform
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00:32: [ctft] Convergence of the Fourier Transform
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02:26: [ctft] Convergence of the Fourier Transform: Finite-Energy Case
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04:14: [ctft] Dirichlet Conditions
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08:45: [ctft] Convergence of the Fourier Transform: Dirichlet Case
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10:45: [ctft] Example 6.6
CT Fourier Transform — Properties of the Fourier Transform
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00:00: [ctft] Section: Properties of the Fourier Transform
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00:19: [ctft] Properties of the (CT) Fourier Transform
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00:36: [ctft] Properties of the (CT) Fourier Transform (Continued)
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00:52: [ctft] (CT) Fourier Transform Pairs
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02:08: [ctft] Linearity
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03:09: [ctft] Example 6.7
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05:33: [ctft] Time-Domain Shifting (Translation)
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06:24: [ctft] Example 6.9
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11:37: [ctft] Frequency-Domain Shifting (Modulation)
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12:24: [ctft] Example 6.10
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17:40: [ctft] Time- and Frequency-Domain Scaling (Dilation)
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18:42: [ctft] Example 6.11
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23:01: [ctft] Conjugation
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23:53: [ctft] Example 6.12
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24:56: [ctft] Duality
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30:35: [ctft] Example 6.13
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33:15: [ctft] Time-Domain Convolution
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34:35: [ctft] Example 6.14
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37:34: [ctft] Time-Domain Multiplication
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39:58: [ctft] Example 6.15
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45:09: [ctft] Time-Domain Differentiation
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46:48: [ctft] Example 6.16
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48:26: [ctft] Frequency-Domain Differentiation
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49:15: [ctft] Example 6.17
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51:20: [ctft] Time-Domain Integration
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53:00: [ctft] Example 6.18
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55:22: [ctft] Parseval's Relation
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56:54: [ctft] Example 6.19
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59:12: [ctft] Even/Odd Symmetry
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59:53: [ctft] Real Functions
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01:01:33: [ctft] More Fourier Transforms
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01:01:47: [ctft] Example 6.26
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01:07:21: [ctft] Exercise 6.5(g)
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01:16:00: [ctft] Exercise 6.2(j)
CT Fourier Transform — Fourier Transform of Periodic Functions
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00:00: [ctft] Section: Fourier Transform of Periodic Functions
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00:25: [ctft] Fourier Transform of Periodic Functions
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03:21: [ctft] Fourier Transform of Periodic Functions (Continued)
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05:08: [ctft] Example 6.20
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07:03: [ctft] Example 6.21
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10:00: [ctft] Example 6.24
CT Fourier Transform — Fourier Transform and Frequency Spectra of Functions
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00:00: [ctft] Section: Fourier Transform and Frequency Spectra of Functions
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00:21: [ctft] The Frequency-Domain Perspective on Functions
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02:25: [ctft] Fourier Transform and Frequency Spectra
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04:40: [ctft] Fourier Transform and Frequency Spectra (Continued 1)
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05:55: [ctft] Fourier Transform and Frequency Spectra (Continued 2)
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08:26: [ctft] Example 6.30
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13:31: [ctft] Frequency Spectra of Real Functions
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15:03: [ctft] Bandwidth
CT Fourier Transform — Fourier Transform and LTI Systems
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00:00: [ctft] Section: Fourier Transform and LTI Systems
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00:35: [ctft] Frequency Response of LTI Systems
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02:35: [ctft] Frequency Response of LTI Systems (Continued 1)
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04:08: [ctft] Frequency Response of LTI Systems (Continued 2)
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04:53: [ctft] Block Diagram Representations of LTI Systems
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05:49: [ctft] Interconnection of LTI Systems
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07:37: [ctft] LTI Systems and Differential Equations
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09:19: [ctft] Example 6.34
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12:44: [ctft] Example 6.35
CT Fourier Transform — Application: Filtering
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00:00: [ctft] Section: Application: Filtering
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00:19: [ctft] Filtering
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01:31: [ctft] Ideal Lowpass Filter
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01:33: [ctft] Ideal Highpass Filter
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01:35: [ctft] Ideal Bandpass Filter
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01:48: [ctft] Example 6.38
CT Fourier Transform — Application: Circuit Analysis
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00:00: [ctft] Section: Application: Circuit Analysis
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00:19: [ctft] Electronic Circuits
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02:00: [ctft] Resistors
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03:05: [ctft] Inductors
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04:24: [ctft] Capacitors
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05:52: [ctft] Circuit Analysis with the Fourier Transform
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07:46: [ctft] Example 6.40
CT Fourier Transform — Application: Amplitude Modulation
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00:00: [ctft] Section: Application: Amplitude Modulation (AM)
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00:46: [ctft] Motivation for Amplitude Modulation (AM)
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04:16: [ctft] Trivial Amplitude Modulation (AM) System
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09:21: [ctft] Trivial Amplitude Modulation (AM) System: Example
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10:06: [ctft] Double-Sideband Suppressed-Carrier (DSB-SC) AM
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12:58: [ctft] Example: Analysis of DSB-SC AM — Transmitter
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16:14: [ctft] Example: Analysis of DSB-SC AM — Receiver
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21:13: [ctft] Example: Analysis of DSB-SC AM — Complete System
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24:19: [ctft] Example: Analysis of DSB-SC AM — Spectra
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26:46: [ctft] Single-Sideband Suppressed-Carrier (SSB-SC) AM
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27:48: [ctft] SSB-SC AM: Example
CT Fourier Transform — Application: Sampling and Interpolation
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00:00: [ctft] Section: Application: Sampling and Interpolation
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00:31: [ctft] Sampling and Interpolation
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02:19: [ctft] Periodic Sampling
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03:35: [ctft] Invertibility of Sampling
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06:49: [ctft] Model of Sampling
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09:16: [ctft] Model of Sampling: Various Signals
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10:41: [ctft] Model of Sampling: Invertibility of Sampling Revisited
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13:12: [ctft] Model of Sampling: Characterization
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15:15: [ctft] Analysis of Sampling — Multiplication by a Periodic Impulse Train (Part 1)
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16:37: [ctft] Analysis of Sampling — Fourier Series for a Periodic Impulse Train
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18:59: [ctft] Analysis of Sampling — Multiplication by a Periodic Impulse Train (Part 2)
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20:15: [ctft] Model of Sampling: Aliasing
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22:34: [ctft] Model of Sampling: Aliasing (Continued)
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26:38: [ctft] Model of Interpolation
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28:43: [ctft] Sampling Theorem
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30:33: [ctft] Example 6.41
Partial Fraction Expansions (PFEs)
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00:00: [pfe] Unit: Partial Fraction Expansions (PFEs)
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00:10: [pfe] Motivation for PFEs
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00:55: [pfe] Strictly-Proper Rational Functions
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01:53: [pfe] Partial Fraction Expansions (PFEs) [CT and DT Contexts]
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03:28: [pfe] Simple-Pole Case [CT and DT Contexts]
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04:39: [pfe] Example B.1
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07:13: [pfe] Repeated-Pole Case [CT and DT Contexts]
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09:24: [pfe] Example B.2
Laplace Transform — Introduction
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00:00: [lt] Unit: Laplace Transform (LT)
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00:32: [lt] Motivation Behind the Laplace Transform
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01:35: [lt] Motivation Behind the Laplace Transform (Continued)
Laplace Transform — Laplace Transform
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00:00: [lt] Section: Laplace Transform
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00:15: [lt] (Bilateral) Laplace Transform
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02:07: [lt] Bilateral and Unilateral Laplace Transforms
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03:18: [lt] Relationship Between Laplace and Fourier Transforms
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06:22: [lt] Derivation: LT FT Relationship (Special Case)
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07:40: [lt] Derivation: LT FT Relationship (General Case)
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08:54: [lt] Laplace Transform Examples
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09:08: [lt] Example 7.3
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13:36: [lt] Example 7.4
Laplace Transform — Region of Convergence
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00:00: [lt] Section: Region of Convergence (ROC)
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00:26: [lt] Left-Half Plane (LHP)
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01:21: [lt] Right-Half Plane (RHP)
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02:08: [lt] Intersection of Sets
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02:49: [lt] Adding a Scalar to a Set
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03:45: [lt] Multiplying a Set by a Scalar
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05:22: [lt] Region of Convergence (ROC)
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06:06: [lt] ROC Property 1: General Form
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07:23: [lt] ROC Property 2: Rational Laplace Transforms
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08:38: [lt] ROC Property 3: Finite-Duration Functions
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09:38: [lt] ROC Property 4: Right-Sided Functions
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10:56: [lt] ROC Property 5: Left-Sided Functions
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12:13: [lt] ROC Property 6: Two-Sided Functions
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13:17: [lt] ROC Property 7: More on Rational Laplace Transforms
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15:20: [lt] General Form of the ROC
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17:11: [lt] Example 7.7
Laplace Transform — Properties of the Laplace Transform
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00:00: [lt] Section: Properties of the Laplace Transform
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00:21: [lt] Properties of the Laplace Transform
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00:39: [lt] Laplace Transform Pairs
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02:34: [lt] Linearity
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05:00: [lt] Example 7.8
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09:57: [lt] Example 7.9
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14:41: [lt] Time-Domain Shifting
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15:42: [lt] Example 7.10
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17:16: [lt] Laplace-Domain Shifting
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18:56: [lt] Example 7.11
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22:37: [lt] Time-Domain/Laplace-Domain Scaling
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24:31: [lt] Example 7.12
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28:13: [lt] Conjugation
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29:14: [lt] Example 7.13
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33:07: [lt] Time-Domain Convolution
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35:22: [lt] Example 7.14
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37:48: [lt] Time-Domain Differentiation
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40:16: [lt] Example 7.15
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41:43: [lt] Laplace-Domain Differentiation
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42:37: [lt] Example 7.16
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44:29: [lt] Time-Domain Integration
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46:56: [lt] Example 7.17
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49:13: [lt] Initial Value Theorem
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51:23: [lt] Final Value Theorem
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53:36: [lt] Example 7.18
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55:26: [lt] More Laplace Transform Examples
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55:42: [lt] Example 7.19
Laplace Transform — Determination of Inverse Laplace Transform
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00:00: [lt] Section: Determination of Inverse Laplace Transform
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00:10: [lt] Finding Inverse Laplace Transform
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01:18: [lt] Example 7.27
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09:55: [lt] Example 7.28
Laplace Transform — Laplace Transform and LTI Systems
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00:00: [lt] Section: Laplace Transform and LTI Systems
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00:37: [lt] System Function of LTI Systems
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03:08: [lt] Block Diagram Representations of LTI Systems
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03:58: [lt] Interconnection of LTI Systems
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05:47: [lt] Causality
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09:14: [lt] Example 7.31
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12:31: [lt] BIBO Stability
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15:22: [lt] Example 7.32
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17:24: [lt] Example 7.33
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19:24: [lt] Example 7.34
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23:38: [lt] Invertibility
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26:01: [lt] Example 7.35
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27:53: [lt] LTI Systems and Differential Equations
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29:51: [lt] Example 7.36
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31:39: [lt] Example 7.37
Laplace Transform — Application: Circuit Analysis
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00:00: [lt] Section: Application: Circuit Analysis
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00:12: [lt] Electronic Circuits
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01:15: [lt] Resistors
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01:17: [lt] Inductors
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01:19: [lt] Capacitors
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01:24: [lt] Circuit Analysis With the Laplace Transform
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03:25: [lt] Example 7.38
Laplace Transform — Application: Design and Analysis of Control Systems
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00:00: [lt] Section: Application: Design and Analysis of Control Systems
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00:13: [lt] Control Systems
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02:35: [lt] Feedback Control Systems
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05:27: [lt] Stability Analysis of Feedback Systems
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07:40: [lt] Example 7.40 — Stabilization Example: Unstable Plant
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08:52: [lt] Example 7.40 — Stabilization Example: Using Pole-Zero Cancellation
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11:04: [lt] Example 7.40 — Stabilization Example: Using Feedback (1)
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13:42: [lt] Example 7.40 — Stabilization Example: Using Feedback (2)
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17:04: [lt] Example 7.40 — Stabilization Example: Using Feedback (3)
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17:55: [lt] Example 7.40 — Remarks on Stabilization Via Pole-Zero Cancellation
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20:12: [lt] Exercise 7.30
Laplace Transform — Unilateral Laplace Transform
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00:00: [lt] Section: Unilateral Laplace Transform
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00:32: [lt] Unilateral Laplace Transform
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03:15: [lt] Inversion of the Unilateral Laplace Transform
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05:40: [lt] Unilateral Versus Bilateral Laplace Transform
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07:39: [lt] Properties of the Unilateral Laplace Transform
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09:14: [lt] Unilateral Laplace Transform Pairs
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10:21: [lt] Solving Differential Equations Using the Unilateral Laplace Transform
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11:31: [lt] Example 7.42
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14:25: [lt] Example 7.43