IIT Madras DSP Lectures: Digital Signal Processing
EE3101107 lectures12 weeks
Weeks
- Week 18 lecturesIntroduction · Introduction to Signals and Sampling · Review of Signals · Basic Signals · Basic Operations on Signals · Classification of Signals/Sequences · Discrete time Sinusoid and Periodicity · Review
- Week 29 lecturesProblem Solving - 1 · Time Scaling · Introduction to Systems : Properties of System · Linear Time Invariant System : The Convolution Sum · Problem Solving - 2 · Problem Solving - 3 · Problem Solving - 4 · Problem Solving - 5 · Causal Systems
- Week 39 lecturesConvolution using Analytical Method · Energy and Power Signals · Stability of a System · Linear Constant Coefficient Difference Equation · From Time domain to Frequency domain - Discrete Time Fourier Transform (DTFT) · Convolution with Impulse Signal · Interconnection of LTI Systems · Numericals on Energy and Power of Signals, BIBO Stability · Sampling
- Week 49 lecturesProblem Solving on Sampling -1 · Problem Solving on Sampling - 2 · Mathematical Framework of Sampling · Reconstruction · Oversampling · Problem Solving on Sampling - 3 · Reconstruction Filter · Undersampling Example · Quantization
- Week 59 lecturesDiscrete Time Fourier Transform and Inverse Discrete Time Fourier Transform · DTFT Examples · Symmetry Properties of DTFT · Symmetry Properties of DTFT when the discrete time signal is real · Example : Moving Average Filter · Existence of DTFT · Special Cases for existence of DTFT · DTFT Theorems/Properties: Part 1 · DTFT Theorems/Properties: Part 2
- Week 69 lecturesDTFT Theorems/Properties: Part 3 · Problem Solving · Problem Solving on Properties of DTFT · Ideal Filters · LCCDE and Frequency Response · DTFT Pairs · Problem Solving · DTFT of Unit Step Signal · Problem Solving on DTFT
- Week 79 lecturesZ Transform and ROC · Examples of Z transform - Part 1 · Examples of Z transform - Part 2 · Examples of Z transform - Part 3 · Properties of ROC · Problem Solving on Z transform · Z Transform Pairs · Properties of Z Transform : Linearity. Time Shifting · Properties of Z Transform : Multiplication by exponential, Differentiation
- Week 88 lecturesProblem Solving - 1 · Problem Solving - 2 · Properties of Z Transform : Conjugation, Time Reversal · Properties of Z Transform : Convolution, Autocorrelation, Initial Value Theorem · Solved Examples · Inverse Z Transform : Inspection Method · Inverse Z Transform : Partial Fraction Expansion Method · Inverse Z Transform : Power Series Method
- Week 98 lecturesFrequency Response of LTI Systems · Group Delay · Zero Phase and Linear Phase Systems · LTI systems with LCCDE representation, Inverse Systems · Problem Solving · Frequency Response of Rational Transfer Function · All Pass Filter · Magnitude Response of First Order Zero
- Week 1011 lecturesFrequency Response when a zero is on the unit circle and outside the unit circle · Frequency Response of second order system · Problem Solving · Magnitude Squared Response · Minimum Phase System · Problem Solving · Minimum Phase and All Pass Decomposition · Linear Phase Filters : Type I and Type II FIR Filters · Linear Phase Filters : Type III and Type IV FIR Filters · Filter Design · Introduction to DFT
- Week 117 lecturesIntroduction to Discrete Fourier Series · Discrete Fourier Series : Analysis and Synthesis Equatoion · Properties of DFS : Linearity, Time Shift, Duality · Properties of DFS : Shift in Frequency, Periodic Convolution · Symmetry Properties · From DFS to DFT · Linear Convolution and Circular Convolution
- Week 1210 lecturesDFT · Properties of DFT · Symmetry Properties of DFT · Examples · Zero Padding · Linear Convolution using DFT · Examples - 1 · Examples - 2 · Fast Fourier Transform - 1 · Fast Fourier Transform - 2
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Lecture 6 · 23:54