EC-402 · Signals & Systems/Official Syllabus
Signals & Systems (EC-402) - Official Syllabus
1
Unit 1
Introduction of Signals and Systems
- Definition of signal
- Classification of Signal and representation: Continuous time and discrete time
- even/odd
- periodic/aperiodic
- random/deterministic
- energy/power
- one/multidimensional
- some standard signals
- Basic Operations on Signals for CT/DT signal
- transformation of independent & dependent variables
- Definition of system and their classification: CT/DT
- linear/non-linear
- variant/non-variant
- causal and non-causal system
- state/dynamic system
- interconnection of systems
- System properties: linearity: additivity and homogeneity
- shift-invariance
- causality
- stability
- realizability
2
Unit 2
Linear Time- Invariant Systems
- Introduction
- Impulse Response Representation for LTI Systems
- Convolution
- Properties of the Impulse Response Representation for LTI Systems
- Difference Equation for LTI Systems
- Block Diagram Representations(direct form-I, direct form-II, Transpose, cascade and parallel)
- Impulse response of DT-LTI system and its properties
3
Unit 3
z-Transform
- Introduction
- ROC of finite duration sequence
- ROC of infinite duration sequence
- Relation between Discrete time Fourier Transform and z-transform
- properties of the ROC
- Properties of z-transform
- Inverse z-Transform
- Analysis of discrete time LTI system using zTransform
- Unilateral z-Transform
4
Unit 4
Fourier analysis of discrete time signals
- Introduction
- Properties and application of discrete time Fourier series
- Representation of Aperiodic signals
- Fourier transform and its properties
- Convergence of discrete time Fourier transform
- Fourier Transform for periodic signals
- Applications of DTFT
5
Unit 5
State-space analysis and multi-input, multi-output representation
- State-space analysis and multi-input, multi-output representation
- The state-transition matrix and its role
- The Sampling Theorem and its implications- Spectra of sampled signals
- Reconstruction
Laboratory Experiments
- Introduction to MATLAB Tool.
- To implement delta function, unit step function, ramp function and parabolic function for continuous-time.
- To implement delta function, unit step function, ramp function and parabolic function for discrete-time.
- To implement rectangular function, triangular function, sinc function and signum function for continuous-time.
- To implement rectangular function, triangular function, sinc function and signum function for discrete-time.
- To explore the communication of even and odd symmetries in a signal with algebraic operations.
- To explore the effect of transformation of signal parameters (amplitude-scaling, time-scaling & shifting).
- To explore the time variance and time invariance property of a given system.
- To explore causality and non-causality property of a system.
- To demonstrate the convolution of two continuous-time signals.
- To demonstrate the correlation of two continuous-time signals.
- To demonstrate the convolution of two discrete-time signals.
- To demonstrate the correlation of two discrete-time signals.
- To determine Magnitude and Phase response of Fourier Transform of given signals.
Reference Books
- Signals and Systems — Simon Haykin — John Wiley
- Analog and Digital Communications — Simon Haykin — John Willey
- Signals and Systems — Bruce Carlson — TMH
- Signals & Systems — Oppenheim, Wilsky — PHI
- Principles of communication signals — Taub, Schilling — Mcgraw-Hill — 2nd ed., 1986
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