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28th September 2016, 04:32 PM
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Join Date: Aug 2012
Re: Signals and Systems Mumbai University

To meet the test of guaranteeing incredibleness in designing instruction, the issue of value should be tended to, bantered about and taken forward in a methodical way. Accreditation is the central method for quality affirmation in advanced education. The real accentuation of accreditation procedure is to quantify the results of the system that is being authorize. In accordance with this Workforce of Technology of University of Mumbai has taken a lead in fusing logic of result based instruction during the time spent educational modules advancement.

Workforce of Technology, University of Mumbai, in one of its meeting consistently determined that, every Board of Studies should set some up Program Educational Objectives (PEO‟s) and give opportunity to subsidiary Institutes to include few (PEO‟s) and course goals and course results to be plainly characterized for every course, so that all employees in associated establishments get it the profundity and methodology obviously to be instructed, which will upgrade learner‟s learning process.

Course Objective:

1. To give a thorough scope of consistent time and discrete time of Signals and Systems.

2. To present different time space and recurrence area techniques for examination of Signals and frameworks.

Course Outcome:

1. Understudy will have the capacity to separate between consistent time and discrete time of Signals and Systems.

2. Understudy will have the capacity to do time area and recurrence space investigation of Signals and frameworks.

Topics Covered:

1. Continuous And Discrete Time Signals And Systems
1.1 Mathematical representation, classification of CT and DT signals, arithmetic operations on the signals, transformation of independent variable
1.2 Mathematical representation, classification of CT and DT systems
1.3 Sampling and reconstruction, aliasing effect

2 Time Domain Analysis Of Continuous and Discrete Signals And Systems
2.1 Properties of LTI systems, impulse and step response.
2.2 Use of convolution integral and convolution sum for analysis of LTI systems.
2,3 Properties of convolution integral/sum.

3 Frequency Domain Analysis of Continuous Time System Using Laplace Transform
3.1 Need of Laplace transform, review of Laplace transform, properties, inverse of Laplace transform, concept of ROC, poles and zeros
3.2 Unilateral Laplace transform
3.3 Analysis and characterization of LTI system using Laplace transform: impulse and step response, causality, stability, stability of causal system
3.4 Block diagram representation

4 Frequency Domain Analysis of Discrete Time System Using Z Transform
4.1 Need of Z transform, definition, properties of unilateral and bilateral Z Transform, mapping with s plane, relationship with Laplace transform
4.2 Z transform of standard signals, ROC, poles and zeros of transfer function, inverse Z transform
4.3 Analysis and characterization of LTI system using Z transform: impulse and step response, causality, stability, stability of causal system
4.4 Block diagram representation, system realization

5 Frequency Domain Analysis of Continuous and Discrete Signals
5.1 Review of Fourier series, Discrete time Fourier series, its properties
5.2 Fourier transform, properties of Fourier transform, relationship with Laplace and Z transform
5.3 Discrete time Fourier transform, properties, frequency sampling, Discrete Fourier transform, properties

6 Correlation and Spectral Density
6.1 Comparison of convolution and correlation, Auto and cross correlation, energy/power spectral density
6.2 Relation of ESD, PSD with auto-correlation
6.3 Relationship between ESD/PSD of input and output of LTI system

Recommended Books:
1. Alan V. Oppenheim, Alan S. Willsky, and S. Hamid Nawab, “Signals and Systems”, 2nd Edition, PHI learning, 2010.
2. Tarun Kumar Rawat, “Signals and Systems”, Oxford University Press 2010.
3. John Proakis and Dimitris Monolakis, “Digital Signal Processing”, Pearson Publication, 4th Edition.


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