Lecture 1 - Signal Definition and Classification
Lecture 2 - Affine Transform
Lecture 3 - Recap of Affine Transform
Lecture 4 - Even and Odd Parts of a Signal
Lecture 5 - The Unit Step Sequence
Lecture 6 - The Unit Impulse
Lecture 7 - The Unit Impulse (Continued...)
Lecture 8 - Exponential Signals and Sinusoids
Lecture 9 - Sinusoids (Continued...)
Lecture 10 - When are two sinusoids independent?
Lecture 11 - Another Difference Between CT and DT Sinusoids
Lecture 12 - System definition and properties (linearity)
Lecture 13 - Time-invariance, memory, causality, and stability
Lecture 14 - LTI systems, impulse response, and convolution
Lecture 15 - Properties of convolution, system interconnections
Lecture 16 - Java applet demo of convolution
Lecture 17 - Systems governed by LCCDE
Lecture 18 - FIR and IIR systems
Lecture 19 - Karplus-Strong algorithm
Lecture 20 - Z-transform definition and RoC
Lecture 21 - Z-transform (Continued...)
Lecture 22 - Poles and zeros
Lecture 23 - Recursive implementation of FIR filters
Lecture 24 - Convergence criterion
Lecture 25 - Properties of the RoC
Lecture 26 - DTFT definition and absolute summability
Lecture 27 - Linearity
Lecture 28 - Delay
Lecture 29 - Exponential multiplication
Lecture 30 - Complex conjugation
Lecture 31 - Time reversal
Lecture 32 - Differentiation in the Z-domain
Lecture 33 - Convolution in the time domain
Lecture 34 - Relationship between x[n] and X(1)
Lecture 35 - Initial Value Theorem
Lecture 36 - Final Value Theorem
Lecture 37 - Multiplication in the time domain
Lecture 38 - Parseval's Theorem
Lecture 39 - Partial Fractions Method
Lecture 40 - Power series method
Lecture 41 - Contour Integral Method
Lecture 42 - Contour Integral Method (Continued...)
Lecture 43 - Inverse DTFT
Lecture 44 - DTFT of Sequences that are not absolutely summable
Lecture 45 - Response to cos(?_0 n+?)
Lecture 46 - Causality and Stability
Lecture 47 - Response to suddenly applied inputs
Lecture 48 - Introduction to frequency response
Lecture 49 - Magnitude response and its geometric interpretation
Lecture 50 - Magnitude Response (Continued...)
Lecture 51 - Response of a single complex zero/pole
Lecture 52 - Resonator and Improved Resonator
Lecture 53 - Notch filter
Lecture 54 - Moving Average Filter
Lecture 55 - Comb filter
Lecture 56 - Phase response of a single complex zero
Lecture 57 - Effect of crossing a unit circle zero, wrapped and unwrapped phase, resonator phase response
Lecture 58 - Allpass Filter
Lecture 59 - Group delay and its physical interpretation
Lecture 60 - Zero-phase filtering, effect on nonlinear phase on waveshape
Lecture 61 - Zero-Phase Filtering, Linear Phase - 1
Lecture 62 - Linear Phase - 2
Lecture 63 - Linear Phase - 3
Lecture 64 - Linear Phase - 3
Lecture 65 - Linear Phase - 3
Lecture 66 - Linear Phase - 4, Sampling - 1
Lecture 67 - Linear Phase - 4, Sampling - 1
Lecture 68 - Linear Phase - 4, Sampling - 1
Lecture 69 - Sampling - 2
Lecture 70 - Sampling - 3
Lecture 71 - Sampling - 4
Lecture 72 - Sampling - 4
Lecture 73 - Sampling - 4
Lecture 74 - The Discrete Fourier Transform - 1
Lecture 75 - The Discrete Fourier Transform - 1
Lecture 76 - The Discrete Fourier Transform - 2
Lecture 77 - The Discrete Fourier Transform - 3
Lecture 78 - The Discrete Fourier Transform - 3
Lecture 79 - The Discrete Fourier Transform - 3
Lecture 80 - The Discrete Fourier Transform - 4
Lecture 81 - The Discrete Fourier Transform - 4
Lecture 82 - The Discrete Fourier Transform - 4