WITH EFFECT FROM THE ACADEMIC YEAR 2011 - 2012
EC 253
SIGNAL ANALYSIS AND TRANSFORM TECHNIQUES
Instruction 4 Periods per week
Duration of University Examination 3 Hours
University Examination 75 Marks
Sessional 25 Marks
UNIT-I
Signals: Definitions and classifications, Analogy between vectors and signals, signal representation by a discrete set of orthogonal functions, orthogonality and completeness, Continuous-time, energy and power signals, Representation of Continuous-time signals: Fourier series – Trignometric and Exponential Fourier series, computational formulae, symmetry conditions, The complex Fourier spectrum.
Fourier Transform: The direct and inverse FT, existence of FT, Properties of FT, The Frequency Spectrum.
UNIT-II
Laplace Transform: The direct LT, Region of convergence, existence of LT, properties of LT. The inverse LT, Solution of differential equations, system transfer function. Linear Convolution: Graphical interpretation, properties of convolution, Correlation: Auto and Cross correlation, graphical interpretation, properties of correlation.
UNIT-III
Discrete-time signals and systems: Sampling, classification of DT signals, Discrete-time energy and power signals, Linear Shift invariant systems, Stability and Causality, Linear constant coefficient systems, Frequency domain representation of discrete time systems and signals.
Linear Convolution: Graphical interpretation, properties of convolution. Correlation: Auto and Cross correlation, graphical interpretation, properties of correlation.
31 32
UNIT- IV
Z-Transform: The direct ZT, Region of convergence, Z-plan e and S-plane correspondence. Inverse ZT, Properties of Z-transforms, Solution to linear difference equations, System transfer function.
UNIT- V
Discrete Fourier series, Sampling the z-transform, Discrete Time Fourier Transform (DTFT), properties of DTFT, Discrete Fourier Transform(DFT), properties of DFT, Linear convolution using DFT.
Suggested Reading:
- 1.B.P. Lathi, Signals, Systems and Communication, BS Publications, 2006.
- 2.Luis F. Chaparro, Signals and Systems using MATLAB, Academic press, 2011
- 3.Alan V. Oppenheim and Ronald W. Schafer, Digital Signal Processing, PHI, 2008.
- 4.P. Ramakrishna Rao, Signals and Systems, McGraw Hill, 2008.
- 5.Alan V. Oppenheim, Alan S. Wilsky and S. Hamid Nawab, Signals and Systems, 2nd ed., PHI, 2009.