**Introduction: **Representations of discrete signals and systems and
basic operators, z-Transforms, Causality and Stability in terms of z-transform, Bilateral z-transform, Computation of z-transform.

**Discrete Fourier Transform (DFT) and
Fast Fourier Transform (FFT): **Discrete
Fourier Series,** **Discrete Fourier
Transform and its Properties, Efficient Computation of DFT using FFT
algorithms, Linear Filtering Approach to Computation of DFT.

**Digital Filter Structure: **Describing Equation, Structures for FIR Systems and Structure for IIR
Systems. Representation of Structures using Signal Flow
Graph.

**Design of Digital Filters:** Introduction, Difference between analog filters and
digital filters, Implementation of digital filter, Types of filters, LTI
systems as filters, Design of IIR filters from analog filters, IIR filter
design using Butterworth Approximation, Frequency transformation, FIR filters
design, Least square filter design, Designing digital filter from pole-zero placement, Butterworth filter design using
Bilinear transformation, FIR filter design using windows, Design of filters
using pole-zero combination.

**Hardware Architecture of DSP Processor: ** Introduction,
Desirable features of DSP processors, Types of architectures, Internal
architecture of ADSP-21xx family, Features of ADSP-21xx family processors, System interface, Instruction
set of ADSP-21xx, ADSP-21xx Development tools, ADSP-210x Processors, TMS DSP processor,.

**Analysis of Finite Word****-****length Effects:** Introduction, The quantization process and errors,
Analysis of coefficient quantization effects in FIR filters, A/D conversion
noise analysis, Analysis of arithmetic roundoff
errors, Dynamic range scaling, Low sensitivity digital filters, Reduction of product
roundoff errors, Limit cycles in IIR filters, Roundoff errors in FFT algorithms.

**Applications: **Dual-tone multi frequency signal detection, Spectral analysis using DFT,
Short term DFT, Musical sound processing, oversampling A/D converter,
Oversampling D/A
converter, Protection.

*Text
Books*

*Helmut, U. and Willibald, W., Protection Techniques in Electrical Engg. Systems,*

*Marcel Dekker Inc. (2001).*

*Proakis**, J.G. and Manolakis, D.G., Digital Signal Processing, Prentice**-**Hall of India Private Limited**(1996).**Rabiner**, C.R. and Gold, B., Theory and Applications of Digital Signal Processing, Prentice**-**Hall of India Private Limited**(2000).*

*Reference Books*

*Antonion**, A., Digital Filters: Analysis Design and Application, Prentice**-**Hall of India Private Limited**(1999).**Oppenhein**, A.V. and Schafer, R.W., Digital Signal Processing, Prentice**-**Hall of India Private Limited**(1998).*