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Discrete Time Signal Processing

Discrete Time Signal Processing. Instructor: Prof. Mrityunjoy Chakraborty, Department of Electronics and Electrical Communication Engineering, IIT Kharagpur. This course covers discrete time signals and systems. The major concepts covered include: discrete-time processing of continuous-time signals; sampling rate conversion; discrete time filter design and filter structures; finite impulse response and infinite impulse response systems; linear prediction; discrete Fourier transform, FFT algorithm; parametric and nonparametric signal processing and its various applications. (from nptel.ac.in)

Lecture 17 - Introduction to Discrete Fourier Transform (DFT)

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Lecture 01 - Introduction

Lecture 02 - Discrete Time Signals and Systems

Lecture 03 - Linear, Shift Invariant Systems

Lecture 04 - Properties of Discrete Convolution, Causal and Stable Systems

Lecture 05 - Graphical Evaluation of Discrete Convolutions

Lecture 06 - Discrete Time Fourier Transform (DTFT)

Lecture 07 - Properties of Discrete Time Fourier Transform (DTFT)

Lecture 08 - Dirac Comb and Sampling Analog Signals

Lecture 09 - Relation between DTFT and Analog Fourier Transform

Lecture 10 - Nyquist Interpolation Formula

Lecture 11 - Rational Systems

Lecture 12 - Properties of Rational Systems

Lecture 13 - Introduction to z-Transform

Lecture 14 - Regions of Convergence of z-Transform

Lecture 15 - Properties of z-Transform

Lecture 16 - Inverse z-Transform

Lecture 17 - Introduction to Discrete Fourier Transform (DFT)

Lecture 18 - Properties of Discrete Fourier Transform (DFT)

Lecture 19 - Introduction to Circular Convolution

Lecture 20 - Graphical Interpretation of Circular Convolution

Lecture 21 - Zero Padding and Linear Convolution via Discrete Fourier Transform (DFT)

Lecture 22 - Decimation and DFT of Decimated Sequences

Lecture 23 - Expansion and Interpolation of Sequences

Lecture 24 - Factor-of-M Polyphase Decomposition of Sequences

Lecture 25 - Noble Identifies

Lecture 26 - Efficient Decimator and Interpolator Structure

Lecture 27 - Linear Phase Filters

Lecture 28 - Properties of Linear Phase Filters

Lecture 29 - Structures for IIR Filters

Lecture 30 - Structures for FIR Filters

Lecture 31 - Analog LTI Systems, Fourier and Laplace Transforms

Lecture 32 - Pole, Zero, and Stability of Analog Filters

Lecture 33 - Analog Filter Design Example - Butterworth Low Pass Filter

Lecture 34 - IIR Filter Design by Impulse Invariance Method

Lecture 35 - Digital Filter Design from Analog Prototype Filters by s-z Transformations

Lecture 36 - Bilinear Transformation

Lecture 37 - FIR Filter Design by Windows

Lecture 38 - Fast Fourier Transform (FFT): Decimation in Time

Lecture 39 - Complexity Analysis of FFT

Lecture 40 - Bit Reversal and FFT