Digital Signal Processing

Course Code: ECE 300 ||  Course Title: Introduction to Digital Signal Processing

Topics	Key-words
Discrete time signals and systems	Basic sequences and sequence operations : Basic discrete time elementary signals, Periodic and non periodic signals.  Operations on dependent (amplitude) and independent (time) variable of discrete time signals, Classification of signals  , laplace transform Discrete time systems : Properties of discrete time systems-linearity, time invariance, causality memory and stability. LTI Systems: Impulse response representation, Convolution and properties of LTI system Sampling : Introduction to FS, Sampling and reconstruction, aliasing and discrete frequency.            Analog to digital                                                                               EXAMPLE PROBLEMS
Fourier Transforms	Fourier transforms : Discrete Fourier Series,  Discrete Fourier Transform and properties, impulse response, frequency response. fourier1 || fourier2 ------------------------------------ Z Transforms: Constant coefficient difference equation representation of LTI systems. Transform domain  domain representation of LTI systems, transfer function of a system
Discrete Fourier Transform	DFT  Properties, Circular Convolution, linear convolution. Computation of DFT - FFT || DFT,FFT Radix-2 DIT, Radix-2 DIF algorithm.FFT
Digital filter design techniques	Filter specifications, Analog Filters-  Butterworth filters  Cheyshev filter concepts  and their Frequency Responses, their derivation IIR Filter design : IIR filter design using impulse invariance and bilinear transformation, frequency transformations. -------------------------------- FIR Filter design : Linear phase, design using windows (rectangular, hamming and hanning) Filters Structures : Direct form-I and Direct Form-II. Transpose form

           

TEXT BOOK

REFERENCES

(i)            John G Proakis, Dimitris and G.Manolakis, “Digital Signal Processing Principles algorithms , applications” PHIIII Edition

(ii)          Allen V. Oppenheim, Ronald W. Schafer “Discrete Time Signal Processing” Second  Edition , Prentice Hall, 2000

(iii)         Mitra S J,  “Digital Signal Processing, a Practical Approach,” Tata McGraw-Hill Publishing Company Limited, 2005

(iv)         simon heykin, Barry Van Veen, "Signals and Systems," John Wiley and Sons Inc.