SIGNALS & SYSTEMS: Beginner Guide

SIGNALS AND SYSTEMS

OBJECTIVES:
To understand the basic properties of signals & systems and the various methods of classification
To learn Laplace Transform &Fourier transform and their properties
To know Z transform & DTFT and their properties
To characterize LTI systems in the Time domain and various Transform domains

UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS 9
Continuous time signals (CT signals) - Discrete time signals (DT signals) - Step, Ramp, Pulse, Impulse, Sinusoidal, Exponential, Classification of CT and DT signals - Periodic & Aperiodic signals, Deterministic & Random signals, Energy & Power signals - CT systems and DT systems- Classification of systems – Static & Dynamic, Linear & Nonlinear, Time- variant & Time-invariant, Causal & Noncausal, Stable & Unstable.

UNIT II ANALYSIS OF CONTINUOUS TIME SIGNALS 9 Fourier series analysis- spectrum of Continuous-Time (CT) signals- Fourier and Laplace Transform in CT Signal Analysis - Properties.

UNIT III LINEAR TIME-INVARIANT- CONTINUOUS TIME SYSTEMS 9
Differential Equation-Block diagram representation-impulse response, convolution integrals- Fourier and Laplace transforms in Analysis of CT systems

UNIT IV ANALYSIS OF DISCRETE TIME SIGNALS 9 Baseband Sampling - DTFT –
Properties of DTFT - Z Transform – Properties of Z Transform

UNIT V LINEAR TIME INVARIANT-DISCRETE TIME SYSTEMS 9 Difference
Equations-Block diagram representation-Impulse response - Convolution sum- Discrete Fourier and Z Transform Analysis of Recursive & Non-Recursive systems