Digital Signal Processing | DSP


Digital Signal Processing 

Table of content (toc)

UNIT- I 

Introduction:

Introduction to Digital Signal Processing: 

  • Discrete Time Signals &Sequences
  • Linear Shift
  • Invariant Systems
  • Stability, and Causality
  • Linear Constant Coefficient Difference Equations,
  • Frequency Domain Representation of Discrete Time Signals and Systems. 


Digital Signal Processing


UNIT- II

Discrete Fourier series:

  • DFS Representation of Periodic Sequences
  • Properties of Discrete
  • Fourier Series

Discrete Fourier Transforms: 

  • Properties of DFT
  • Linear Convolution of Sequences using DFT
  • Computation of DFT 
  • Relation between DTFT, DFS, DFT and Z-Transform.

Fast Fourier Transforms: 

  • Fast Fourier Transforms (FFT)-Radix-2
  • Decimation-in-Time and
  • Decimation-in-Frequency FFT Algorithms
  •  Inverse FFT, and FFT with General Radix N.

UNIT- III

Realization of Digital Filters: 

  • Applications of Z-Transforms
  • Solution of Difference Equations of Digital Filters
  • System Function, Stability Criterion
  • Frequency Response of Stable Systems,
  • Realization of Digital Filters - Direct, Canonical, Cascade and Parallel Forms.

UNIT- IV

IIR Digital Filters:

  • Analog filter approximations-Butterworth and Chebyshev
  • Design of IIR Digital Filters from 
          (i).  Analog Filters
         (ii).  Impulse Invariant Techniques
         (iii). Bilinear Transformation Method

UNIT- V

FIR Digital Filters:

  • Characteristics of FIR Digital Filters
  • Frequency Response

Design of FIR Filters: 

  • Fourier Method
  • Digital Filters using Window Techniques
  • Frequency Sampling Technique, and 
  • Comparison of IIR &FIR filters. 
  • Multi rate signal processing 



UNIT 1 👇👇 




UNIT 2 👇👇 




UNIT 3 👇👇 




UNIT 4 👇👇 



UNIT 5 👇👇




TEXTBOOK (John G Proakis , Dimitris G Manolakis)





DSP Important topics

UNIT- I 

Introduction:
Discrete Time Signals & Sequences, 
Stability, and Causality
Linear Constant Coefficient Difference Equations


UNIT- II

Discrete Fourier series: 
Discrete Fourier Transforms: Properties of DFT,
Linear Convolution of Sequences using DFT, 
Computation of DFT
Overlap add, overlap save techniques to compute DFT
Fast Fourier Transforms: 
Fast Fourier Transforms (FFT)-Radix-2, Decimation-in-Time and Decimation-in-Frequency 
FFT Algorithms, 
Inverse FFT


UNIT- III

Realization of Digital Filters:
Solution of Difference Equations of Digital Filters, 
Stability Criterion, 
Realization of Digital Filters – Direct, Canonical, Cascade and Parallel Forms.


UNIT- IV

IIR Digital Filters:
Analog filter approximations–Butterworth and Chebyshev, 
Comparison of both
Step and Impulse Invariant Techniques, 
Bilinear Transformation Method.
Warping effect
Comparison of Analog and digital Filter


UNIT- V

FIR Digital Filters:
Design of FIR Filters: Fourier Method
Digital Filters using Window Techniques, 
Comparison of IIR &FIR filters



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