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Jan 24, 2010

Digital Signal Processing

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310244: DIGITAL SIGNAL PROCESSING
Teaching Scheme Lectures: 4 Hrs Week
Examination Scheme Theory: 100 Marks
Objectives:
• To learn methodology to analyze signals and systems
• To get acquainted with the DSP Processors
Prerequisite:
• Knowledge of basic Engineering Mathematics

Unit I (08 Hrs)
Classification of Signals: Analog, Discrete-time and Digital, Basic sequences and sequence
operations. Discrete-time systems, Properties of D. T. Systems and Classification, Linear Time
Invariant Systems, impulse response, linear convolution and its properties, properties of LTI
systems: stability, causality, parallel and cascade connection, Linear constant coefficient different
equations, Eigen functions for LTI systems and frequency response, Periodic Sampling, Sampling
Theorem, Frequency Domain representation of sampling, reconstruction of a band limited Signal,
A to D conversion Process: Sampling, quantization and encoding.

Unit 11 (08 Hrs)
Representation of Sequences by Fourier Transform, Symmetry properties of F. T., F. T. theorems:
Linearity, time shifting, frequency shifting, time reversal, differentiation, Parseval’s theorem,
convolution theorem, windowing theorem, Z-transform, ROC and its properties, Inverse z
transform by inspection, partial fraction, power series expansion and complex inversion, Z
transform properties: Linearity, time shifting, multiplication by exponential sequence,
differentiation, conjugation, time reversal, convolution, initial value theorem, Unilateral Ztransform:
 solution of difference equation

Unit III (08 Hrs)
Frequency Response of LTI Systems: Ideal frequency selective filters, magnitude and phase
response, group delay, System Functions for LTI Systems: Stability and causality, inverse
systems, significance of poles/zeros, Frequency Response for Rational System Functions:
Frequency Response of a single zero or pole, Frequency response from pole-zero plot using
simple geometric construction, systems with Linear phase, Generalized Linear phase systems,
Four Types of GLPS

Unit IV (08 Hrs)
Sampling the F.T., Fourier representation of finite-duration sequences: The Discrete Fourier
Transform, Properties of DFT: Linearity, circular shift, duality, symmetry, Circular Convolution,
Linear Convolution using DFT, Effective computation of DFT and FFT, Goerzel Algorithm, DIT
FFT, DIP FFT, Inverse DFT using FFT, Practical considerations in FFT implementation

Unit V (08 Hrs)
Concept of filtering, Ideal filters and approximations, specifications, IIR filter design from
continuous time filters: Characteristics of Butterworth, Cheybyshev and elliptic
approximations, impulse invariant and bilinear transformation techniques, Design examples,
FIR filter design using windows: properties of commonly used windows, incorporation of
Generalized Linear Phase, Design Examples, Design using Kaiser window, Comparison of
IIR and FIR Filters

Unit VI (08 Hrs)
Block diagrams and Signal flow graph representation of LCCDE, Basic structures for IIR
Systems: direct form, cascade form, parallel form, feedback in IIR systems, Transposed Forms,
Basic Structures for FIR Systems: direct form, cascade form, structures for linear phase FIR
Systems, Finite Register Length effect
DSP Processors Architecture and Applications of DSP: Detail Study of DSP chip architecture as
an example of ADSP 21XX series of microprocessor and their desirable features, Instruction set
of ADSP 21XX series processor and some examples
».
Text Books:
1. Oppenheim A., Schafer R., Buck J., "Discrete time signal processing", 2nd Edition, Prentice
Hall, 2003, ISBN-81-7808-244-6
2. Proakis J., Manolakis D., "Digital signal processing", 3rd Edition, Prentice Hall, ISBN 81-
203-0720-8

Reference Books:
1. Babu R., "Digital Signal Processing", 2nd Edition, Scitech Publications, ISBN SI-873- 2852-5
2. Mitra S., "Digital Signal Processing: A Computer Based Approach", Tata McGraw-Hill,
1998, ISBN 0-07-044705-5
3. Vallavraj A., "Digital Signal Processing", ISBN 0-07-463996-X
4. Manual - ADSP 21 XX family DSP
5. White S., "Digital Signal Processing", Thomson Learning, ISBN -981 -240-620-4

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