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Electronics and Telecommunication Engineering - Vishwakarma ...

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Bansilal Ramnath Agarwal Charitable Trust’s<br />

<strong>Vishwakarma</strong> Institute of Technology, Pune – 411 037<br />

Department of <strong>Electronics</strong> <strong>and</strong> <strong>Telecommunication</strong> <strong>Engineering</strong><br />

FF No.: 654<br />

EC 30103 :: DIGITAL SIGNAL PROCESSING<br />

Credits: 03<br />

Teaching Scheme: - Theory 3 Hrs/Week<br />

Prerequisites: Knowledge of signals <strong>and</strong> systems, Fourier Theory<br />

Objectives:<br />

• To learn properties of discrete time signals <strong>and</strong> systems<br />

• To learn processing of signals in frequency domain using mathematical<br />

transforms<br />

• To learn filter design based on approximations<br />

• To learn filter design based on truncation of impulse response<br />

• Mapping with PEOs:1,2,6,7,8,9<br />

Unit I: Z Transform<br />

(10 Hrs.)<br />

A. Discrete time signals & Systems, Z- transform <strong>and</strong> its properties, Inverse Z-transform,<br />

analysis of LTI systems in Z domain, Unilateral Z-transform.<br />

B. Sampling process, Convolution <strong>and</strong> Correlation<br />

Unit II: Discrete Fourier Transform<br />

(12 Hrs.)<br />

A. Discrete time Fourier transform(DTFT), Discrete Fourier transform(DFT), Relation of<br />

DFT to other transforms, Properties of DFT, Overlap_add <strong>and</strong> overlap_save methods,<br />

FFT algorithms- Decimation in Time <strong>and</strong> Decimation in frequency<br />

B. Goertzel algorithm, applications of DFT <strong>and</strong> FFT<br />

Unit III: FIR Filters<br />

(6 Hrs.)<br />

A. FIR filter structures - Direct form structure, cascade form structure, Design of linear<br />

phase FIR filters using windows , Design of linear phase FIR filters using frequency<br />

sampling method.<br />

B. Lattice Structure, Design of FIR filters using Fourier series method, applications of<br />

FIR filters<br />

Structure & Syllabus of B.E (E&TC) Program – Pattern ‘C11’, Rev01, dt. 2/4/2011<br />

11

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