NOTE:

Signals and Systems covers analog and digital signal processing, ideas at the heart of modern communication and measurement. We present the basic concepts for continuous-time and discrete-time signals in the time and frequency domains. Time and frequency are related by the Fourier transform.

Review of discrete -time signals and systems – Classification, Z- transform – ROC-stability/causality analysis, DTFT- Frequency domain sampling – DFT-Properties- Frequency analysis of signals using DFT-FFT Algorithm-Radix-2 FFT algorithms-Applications of FFT. 1 - 5

Design techniques for analog low pass filter -Butterworth and Chebyshev approximations, frequency transformation, Properties. 7 - 10 14 - 21 23 - 26

IIR filter design - Bilinear and Impulse Invariant Transformation techniques - Spectral transformation of digital filters. 74 - 75

FIR Filter Design - Phase and group delay - Design characteristics of FIR filters with linear phase – Frequency response of linear phase FIR filters – Design of FIR filters using Rectangular, Hamming, Hanning, Bartlett and Blackmann window functions. 53 - 57

Direct Forms I and II, Cascade, Parallel and Lattice structures.

65 - 66

Optimum Filter - The Wiener Filter, Adaptive filters and their applications. 40 - 41

General-purpose digital signal processors - Fixed point and floating point DSP - Finite word length effects - MAC, filter operation in different DSP architectures - typical implementation of DSP algorithms. 69 - 73