###### Signals and System Notes

Rajan Sharma | 29-Feb-2016 |

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SYLLABUS OF SIGNALS & SYSTEMS-I (3-1-0)
MODULE-I (10 HOURS)
Introduction of Signals, Classification of Signals, General Signal Characteristics, Signal
energy & Power, Continuous-Time Signals , Discrete-Time Signals
Basic System Properties, Systems with and without memory, Invertibility, casuality,
Stability, Time invariance, Linearity, Linear Time Invariant (LTI) Systems, Discrete
Time LTI Systems, Convolution
Representation of Linear Time-Invariant Discrete-Time Systems Convolution of
Discrete-Time
Signals Convolution Representation of Linear Time-Invariant Continuous-Time Systems
Convolution of Continuous-Time Signals, Properties of LTI Systems, Casual systems
MODULE-II (10 HOURS)
Fourier Representations for Signals: Representation of Discrete Time Periodic signals,
Continuous Time Periodic Signals, Discrete Time Non Periodic Signals, Continuous
Time Non-Periodic Signals, Properties of Fourier Representations,
Frequency Response of LTI Systems, Fourier Transform representation for Periodic and
discrete time Signals, Sampling, reconstruction, Discrete Time Processing of Continuous
Time Signals, Fourier Series representation for finite duration Nonperiodic signals.
MODULE-III (10 HOURS)
Modulation Types and Benefits, Full Amplitude Modulation, Pulse Amplitude
Modulation, Multiplexing, Phase and Group delays
Representation of Signals using Continuous time Complex Exponentials: Laplace
Transform, Unilateral Laplace Transform, its inversion, Bilateral Laplace Transform,
Transform Analysis of Systems
MODULE-IV (10 HOURS)
Representation of Signals using Discrete time Complex Exponentials: The Z-Transform,
Properties of Region of convergence, Inverse Z-Transform, Transform Analysis of LTI
Systems, Unilateral Z Transform.

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