# InfoCoBuild

## 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)

 Introduction

 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

 References 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.