SIGNALS AND SYSTEMECC-205

About the work

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Subject syllabus

Exactly what you would be recording.

Unit I 
 
Continuous and discrete time signals: Classification of Signals – Periodic aperiodic even – odd – energy and power 
signals – Deterministic and random signals – complex exponential and sinusoidal signals – periodicity – properties 
of discrete time complex exponential unit impulse – unit step impulse functions – Transformation in independent 
variable of signals: time scaling, time shifting. Determination of Fourier series representation of continuous time 
and discrete time periodic signals – Explanation of properties of continuous time and discrete time Fourier series. 
Representation of continuous time signals by its sample - Sampling theorem – Reconstruction of a Signal from its 
samples, aliasing – discrete time processing of continuous time signals, sampling of band pass signals.

Continuous time Fourier Transform and Laplace Transform analysis with examples – properties of the 
Continuous-time Fourier Transform and Laplace Transform basic properties, Parseval’s relation, and convolution 
in time and frequency domains. 
Basic properties of continuous time systems: Linearity, Causality, time invariance, stability, magnitude and Phase 
representations of frequency response of LTI systems -Analysis and characterization of LTI systems using 
Differential Equations and Continuous time LTI systems. Laplace transform: Computation of impulse response 
and transfer function using Laplace transform. 

Unit III 
Discrete time system analysis using Difference equations, Discrete Time Fourier Transform, Discrete Fourier 
Transform, FFT and their property and usage in the analysis of Discrete time systems.  
Unit IV 
Basic principles of z-transform - z-transform definition – region of convergence – properties of ROC – Properties 
of z-transform – Poles and Zeros – inverse z-transform using Contour integration - Residue Theorem, Power Series 
expansion and Partial fraction expansion, Relationship between z-transform and Fourier transform. Properties of 
convolution and the interconnection of LTI Systems – Causality and stability of LTI Systems. Computation of 
Impulse & response & Transfer function using Z Transform.