Notes for Digital Signal Processing - DSP by Bipasa Das

Discrete Time Signals and System Discrete Time Signals (Elementary examples, classification : periodic and a periodic Signals energy and Power signals, Even and Odd Signals)

time linear LTI system, Recursive and Non-recursive discrete time system. Constant coefficient differences equations and their solutions, impulse response of LTI system , structures of LTI systems Recursive and Nonrecursive realization of FIR system. Correlation of dispute time Signal

Relation Between Correlation And Convolution

The Z transform The Z-transform and one-sided Z-transform, properties of Z-transform , inverse of the Ztransform , Solution of difference equations

Stability And Casuality Of Z-transform

The Discrete Fourier Transform The DFT and IDFT, relationship , DFT with Z- transform , the DFT as a linear transformation Relationship of DFT with Z-transform , properties of DFT: periodicity, linearity, summery and time reversal of a sequence. Circular convolution, circular correlation, circular correction by convolution, method linear convolution by overlap save methods and by overlap add method, Circular convolution and correlation by DFT method, Overlap add and save filtering by DFT method

Operation counts by direct copulation of DFT, Radix – 2 FFT algorithm- Decimation –in-time (DIT) and Decimation – in frequency (DIF) algorithm, Efficient computation DFT of Two real sequences , Efficient Computation of DFT of a 2 N-pt real sequences

Casually and its implication, Design of linear phase FIR filters using different windows. Design of IIR filters – Impulse Invariance Method and Bilinear transformation method