DSP - Notes

Lecture Notes for VI semester and IV semester B.E. CSE dept and B.Tech IT dept

The app is designed for quick learning, revisions at the time of internal and university examination. This app covers all the five units of IT6502-Digital signal processing subject for students studying in B.E. Computer Science Engineering and B.Tech –Information Technology department under Regulation 2013 in Anna University syllabus. This app will enhance the easy way of learning along with their regular class understanding. The app covers the following topics

UNIT I – SIGNALS AND SYTEMS

Classification of Basic signals – Continuous time and Discrete time signals

Signal Classification – Continuous time and Discrete Time signals

Classification of Systems – Continuous time and Discrete time system

Baseband sampling

Properties of Z-Transform

Z-Transform Pairs

Inverse Z-Transform using ROC

Convolution using Z-Transform

Analysis of discrete time LTI system using Z-Transform

Part A Question and Answers

UNIT II - FREQUENCY TRANSFORMATIONS

Relationship between DTFT-DFT, DFT – FFT and ZT - DFT

Properties of Discrete Fourier Transform

Fast Fourier Transform – Radix 2 Algorithm

(a) Decimation-in-Time FFT Algorithm

(b) Decimation-in-Frequency FFT Algorithm

Comparison of DIT-FFT/DIF–FFT Butterfly diagram

DFT problem using direct DFT, matrix DFT, DIT and DIF-FFT method

Comparison of Computational Complexity for DFT Vs FFT

Basics for solving 8–pt problem based on DIT / DIF using FFT / IFFT algorithm

Use of FFT in Linear Filtering – Overlap Save and Overlap Add Method

Part A Question and Answers

UNIT III – IIR FILTER DESIGN

Derivation of IIR Filter Transfer function

Structures of IIR Filter

Analog Filter Design

IIR filter design using Impulse invariance method

IIR filter using bilinear transformation method.

Conversion of H(s) into H(z) using Impulse Invariant method and Bilinear Method

Design procedure of IIR Digital Butterworth filter

Derive the order and cutoff frequency of digital IIR Butterworth filter

Design of Low Pass Butterworth filter using Bilinear method

Design of Low Pass Butterworth filter using Impulse method

Design of High Pass Butterworth filter using Bilinear method

Frequency Transformation in Analog Domain & Digital Domain

Part A Question and Answers

UNIT IV – FIR FILTER DESIGN

Transfer Function of Finite Impulse Response Filter

Structures of FIR

Basics in Causal and Non causal Sequences

Design of Linear Phase FIR Filter

(a) Design of Linear Phase FIR filter – Symmetry Condition

(b) Design of Linear Phase FIR filter – Asymmetry Condition

General Shapes of Windows & Window Functions for FIR filter design

FIR filter for Non causal specification (n ≠ α) and Causal specification (n ≠ 0)

Design Procedure for FIR filter using Window method

FIR Filter Design using Frequency Sampling Method

PART A – Question and Answers

UNIT V – FINITE WORD LENGTH EFFECTS IN DIGITAL FILTERS

Binary fixed point and floating point number representations

Quantization Noise-Truncation and Rounding error Quantization Noise power/ Signal to Quantization Noise Ratio Types of Quantization Error -

(a)Input Quantization Error

(b)Product Quantization Error (c) Coefficient Quantization Error

Limit Cycle Oscillations

(a)Zero input limit cycle oscillation / Dead band (b)Overflow limit cycle oscillation

Steady State Noise Power or Variance

Signal Scaling

Part A Question and Answers

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