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