Syllabus - Digital signal Processing (EC-601)

Electronics & Communication Engineering

Digital signal Processing (EC-601)

VI-Semester

Unit - I

Discrete-Time Signals and Systems

Discrete-time signals, discrete-time systems, analysis of discrete-time linear time-invariant systems,discrete time systems described by difference equation, solution of difference equation, frequency domain implementation of discrete-time systems, stability and causality, representation of discrete time signals and systems.

Unit - II

The z-Transform

The direct z-transform, properties of the z-transform, rational z-transforms, inversion of the z transform,analysis of linear time-invariant systems in the z- domain, block diagrams and signal flow graph representation of digital network, matrix representation.

Unit - III

Frequency Analysis of Discrete Time Signals

Discrete fourier series (DFS), properties of the DFS, discrete Fourier transform (DFT), properties of DFT, two dimensional DFT, circular convolution.

Unit - IV

Efficient Computation of the DFT

FFT algorithms, decimation in decomposition for ‘N’composite number. time algorithm, decimation in frequency algorithm,

Unit - V

Digital filters Design Techniques

Design of IIR and FIR digital filters, Impulse invariant and bilinear transformation, windowing techniques rectangular and other windows, examples of FIR filters, design using windowing.

Practicals

  • Generation, analysis and plots of discrete-time signals.

  • Implementation of operations on sequences (addition, multiplication, scaling, shifting, folding etc).

  • Implementation of Linear time-invariant (LTI) systems and testing them for stability and causality.

  • Computation and plot of DTFT of sequences, verification of properties of DTFT.

  • Computation and plots of z-transforms, verification of properties of z-transforms.

  • Computation and plot of DFT of sequences, verification of properties of DFT.

  • Computation and plots of linear/circular convolution of two sequences.

  • Computation of radix-2 FFT- Decimation in time and Decimation in frequency.

  • Implementation of IIR and FIR filter structures (direct, cascade, parallel etc).

  • Implementation of various window design techniques (Rectangular, Bartlett, Hann, Hamming etc).

Reference Books

  • Oppenheim and Schafer: Digital Signal Processing, PHI Learning.

  • Johnny R. Johnson: Introduction to Digital Signal Processing, PHI Learning.

  • Proakis: Digital Signal Processing, Pearson Education.

  • Rabiner and Gold: Theory and Application of Digital Signal Processing, PHI Learning.

  • Ingle and Proakis: Digital Signal Processing- A MATLAB based Approach, Thompson, Cengage Learning.