Digital Signal Processing Premium Lecture Notes, Prepared by Kavi. Specially for Computer Science Engineering . Syllabus Covered based on Anna University B.E Computer Science Engineering.

CONTENT:

DIGITAL SIGNAL PROCESSING

UNIT-1 (Pages: 43)

SIGNALS AND SYSTEM

UNIT-2 (Pages: 40)

FREQUENCY TRANSFORMATION

UNIT-3 (Pages: 38)

IIR FILTER DESIGN

UNIT-4 (Pages: 24)

FINITE IMPULSE RESPONSE FILTER

UNIT-5 (Pages: 8)

MULTIRATE SIGNAL PROCESSING

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UNIT-1

SIGNALS AND SYSTEM

Basic elements of DSP

Sampling

Concept of frequency in CT and DT signals

Discrete time sinusoidal signals

Properties of DT signal

CT – exponentials

DT – Exponential

A/D and D/A Conversion

DT signals and mathematical representation

Classification of signals

Basic operation of signals

Sampling theorem

Proof of sampling theorem

Classification of DT system

FIR and IIR System

Stability analysis

Frequency response

Properties of frequency response

Time invariance property

Causality property

Stability property

Z-transform

Region of convergence

Double sided Z- transform

Properties of Z- transforms

Linearity property

Time shifting property

Properties of system

Stability property

Time reversal property

Scaling property

Differential property

Convolution property

Parseval’s theorem

Initial value theorem

Final value theorem

Inverse Z- Transform

Long division method

Partial fraction method

Residue method

Linear convolution

Correlation

UNIT-2

FREQUENCY TRANSFORMATION

Discrete fourier transform

Frequency analysis of DT signal

Properties of DPT

Circular convolution

Methods

1. Circle method

2. Matrix method

3. DFT – IDFT method

Overlap save method

Difference between linear and circular convolution

FFT (fast Fourier transform)

Radix – 2 FFT algorithm

DIT FFT algorithm

Decimation in frequency FFT algorithm

Inverse fast fourier transform

FFT algorithm in linear filtering and correlation

Comparision between DIT and DIF algorithm

Discrete cosine transform

Types of DCT

Application

UNIT-3

IIR FILTER DESIGN

Introduction

Advantages of digital filters

Disadvantages of digital filters

Analog filters design

Analog domain to digital domain transformation

Impulse inverient transformation

Bilinear transformation tech

Taking inverse laplace transform

Characteristics of bilinear transformation

Steps involved in bilinear transformation

Approximation of derivation

Disadvantages

Analog frequency transformation

Normalized LPF to designed BPF

Digital frequency transformation

Butterworth filter

Algorithm

Chebyshev filter

UNIT-4

FINITE IMPULSE RESPONSE FILTER

Advantages of FIR filter

Disadvantages of FIR Filter

Linear phase FIR filter

Design of FIR filter using windowing techniques

Raised cosine window

Hanning window

Hamming window

UNIT-5

MULTIRATE SIGNAL PROCESSING

Aliasing effect

Upsampling

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