# Digital Signal Processing EC Syllabus for NIT Jalandhar

EC-306 Digital Signal Processing [3 1 0 4]

Unit-I

Introduction: Limitations of analog signal processing, Advantages of digital signal processing and its applications; Some elementary discrete time sequences and systems;
Basic elements of digital signal processing such as convolution, correlation and autocorrelation, Concepts of stability, causality, linearity, difference equations.

Frequency Domain Representation of Discrete Time Signal and Systems: Complex exponentials as Eigen functions of LTI systems; Fourier Transform of sequences. Fourier Transform theorems and symmetry properties of Fourier Transform.

Sampling of Continuous Time Signals: Sampling and aliasing problem, Reconstruction of a continuous time signal from its samples; Discrete Time Processing of Continuous time signals and vice-versa.

Decimation & Interpolation; changing the sampling rate by integer and non-integer factors using discrete time processing.

Unit-II

The Z Transform: Z-Transform, Region of convergence; Properties of the Z-transform; convolution theorem; Parseval’s relation; Unilateral Z-transform and its application to difference equations with nonzero initial condition.

Discrete Fourier Transform: DFT and its properties; Linear Periodic and Circular convolution; Linear Filtering Methods based on DFT; Filtering of long data sequences; Fast Fourier Transform algorithm using decimation in time and decimation frequency techniques; Linear filtering approaches to computation of DFT.

Unit-III
Design of Digital Filters: Linear Phase FIR filters; Design methods for FIR filters; IIR filter design by Impulse Invariance, Bilinear Transformation, Matched Z-Transformation, Frequency Transformation in the Analog and Digital Domain.

Finite Precision Effects: Fixed point and Floating point representations, Effects of coefficient unitization, Effect of round off noise in digital filters, Limit cycles.

Books Recommended

1. Oppenheim A V & Sehafer R W, “Discrete Time Signal Processing”, Prentice Hall (1989).
2. Proakis J G & Manolakis D G, “Digital Signal Processing”, Pearson Education India.
3. Oppenheim A V, Willsky A S & Young I T, “Signal & Systems”, Prentice Hall, (1983).
4. Ifeachor and Jervis, “Digital Signal Processing”, Pearson Education India.
5. D.J. DeFatta, J.G.Lucas and W. S. Hodgkiss, Digital Signal Processing, J Wiley and
Sons, Singapore, 1988
6. Andrias Antonion, “Digital Filters, Analysis, Design and Applications”, Second Edition, Tata
Mcgraw Hills, 1998.