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