Signals & Systems
IE303 SIGNALS AND SYSTEMS
Objectives:
After completion of this course students should able to
1) Analysis of signals and systems using different techniques.
2) Different techniques for Statistical Analysis of signals
Unit 1
Introduction to Signals and Systems:
Introduction to Signals, Classification of Signals, Continuous Time and Discrete Time Signals, Step and Impulse Functions, Transformation of Independent Variable. Introduction to Systems, Classification of Systems, Properties of Systems, Normal Form of System Equation, Initial Conditions, Impulse Response of A Physical System, Introduction to Convolution, System Impulse Response.
[08 Hrs]
Unit 2
Analysis of Systems
System characteristics, Convolution Sum, Sampling theorem, reconstruction, aliasing, sampling in the frequency domain, sampling of discrete time signals, decimation and interpolation. Properties and applications of Z transform.
[08 Hrs]
Unit 3
Fourier Transform Analysis of Signals and Systems
Fourier analysis for Continuous time signals and systems, Continuous time Fourier series and its convergence, Continuous time Fourier Transform, its properties, frequency response.Fourier Analysis for Discrete time signals and systems, Discrete time Fourier series and its convergence, Discrete time Fourier Transform, its properties, frequency response.
Filtering: Ideal frequency selective filters, Non Ideal frequency selective filters, examples, Butterworth filters.
[08 Hrs]
Unit 4
Modulation Techniques
Modulation: Amplitude Modulation, Single sideband amplitude modulation, Pulse amplitude modulation, time division multiplexing, discrete time amplitude modulation, Continuous time frequency modulation.
[08 Hrs]
Unit 5
Statistical Analysis of signals
Mean, Medium, and mode, standard deviation, variance, moments, coefficient of skew ness & kurtosis, correlation & line of regression.
[08 Hrs]
Unit 6
Probability
Theorems on Probability, Conditional Probability, Baye窶冱 theorem, Probability density functions (binomial, Poisson, normal) distribution function, standard deviation, chi-square test, probable error and combination of system component errors, overall system accuracy calculations, overall error from root mean square formula.
[08 Hrs]
Text Books
ﾂ｡ Signals and Systems By Michael J. Robert, TMH, New Delhi, Edition 2003
ﾂ｡ Probability and Statistics, Spiegel, Schiller and Srinivasn, Second Edition, Scaum窶冱 Outline TMH
Reference books
ﾂ｡ Signals and systems, Oppenheium, Willsky Pearson (low price) second edition
