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

Lecture 18 - Properties of 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