PEC-EE13 Digital Signal Processing

Module 1: Discrete-time signals and systems (6 hours)
Discrete time signals and systems: Sequences; representation of signals on orthogonal basis;
Representation of discrete systems using difference equations, Samplingand reconstruction of signals
- aliasing; Sampling theorem and Nyquist rate.
Module 2: Z-transform (6 hours)
z-Transform, Region of Convergence, Analysis of Linear Shift Invariant systems using z-transform,

Properties of z-transform for causal signals, Interpretation of stability in z-domain, Inverse z-
transforms.

Module 2: Discrete Fourier Transform (10 hours)
Frequency Domain Analysis, Discrete Fourier Transform (DFT), Properties of DFT, Connvolution of
signals, Fast Fourier Transform Algorithm, Parseval’s Identity, Implementation of Discrete Time
Systems.
Module 3:Designof Digital filters (12 hours)
Designof FIR Digital filters: Windowmethod,Park-McClellan's method. Design of IIR Digital Filters:
Butterworth, Chebyshev and Elliptic Approximations;Low-pass, Band-pass, Band-stop and High- pass
filters.
Effect of finite register length in FIR filter design. Parametric and non-parametric spectral estimation.
Introduction to multi-rate signalprocessing.
Module 4: Applications of Digital Signal Processing (6 hours)
Correlation Functions and Power Spectra, Stationary Processes, Optimal filtering using ARMA Model,
Linear Mean-Square Estimation, Wiener Filter.
Text/Reference Books:
1. S. K. Mitra, “Digital Signal Processing: A computer based approach”, McGraw Hill, 2011.
2. A.V. Oppenheim and R. W. Schafer, “Discrete Time Signal Processing”, Prentice Hall, 1989.
3. J. G. Proakis and D.G. Manolakis, “Digital Signal Processing: Principles, Algorithms And Applications”,
Prentice Hall, 1997.
4. L. R. Rabiner and B. Gold, “Theory and Application of Digital Signal Processing”, Prentice Hall, 1992.
5. J. R. Johnson, “Introduction to Digital Signal Processing”, Prentice Hall, 1992.
6. D. J. DeFatta, J. G. Lucas andW. S. Hodgkiss, “Digital Signal Processing”, John Wiley & Sons,1988.