Signals and Systems

SIGNALS AND SYSTEMS

COURSE OBJECTIVES:

i. To understand the basic properties of signal & systems

ii. To know the methods of characterization of LTI systems in time domain

iii. To analyze continuous time signals and system in the Fourier and Laplace domain

iv. To analyze discrete time signals and system in the Fourier and Z transform domain

UNIT I

CLASSIFICATION OF SIGNALS AND SYSTEMS

Standard signals- Step, Ramp, Pulse, Impulse, Real and complex exponentials and Sinusoids_Classification of signals – Continuous time (CT) and Discrete Time (DT) signals, Periodic & Aperiodic signals, Deterministic & Random signals, Energy & Power signals - Classification of systems- CT systems and DT systems- – Linear & Nonlinear, Time-variant& Time-invariant,Causal & Non-causal, Stable & Unstable.

UNIT II

ANALYSIS OF CONTINUOUS TIME SIGNALS

Fourier series for periodic signals - Fourier Transform – properties- Laplace Transforms and Properties

UNIT III

LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEMS

Impulse response - convolution integrals- Differential Equation- Fourier and Laplace transforms in Analysis of CT systems - Systems connected in series / parallel.

UNIT IV

ANALYSIS OF DISCRETE TIME SIGNALS

Baseband signal Sampling–Fourier Transform of discrete time signals (DTFT)– Properties of DTFT

Z Transform & Properties

UNIT V

LINEAR TIME INVARIANT-DISCRETE TIME SYSTEMS

Impulse response–Difference equations-Convolution sum- Discrete Fourier Transform and Z Transform Analysis of Recursive & Non-Recursive systems-DT systems connected in series and parallel.

TOTAL: 30+30 PERIODS

COURSE OUTCOMES:

At the end of the course, the student will be able to:

CO1: determine if a given system is linear/causal/stable

CO2: determine the frequency components present in a deterministic signal

CO3: characterize continuous LTI systems in the time domain and frequency domain

CO4: characterize discrete LTI systems in the time domain and frequency domain

CO5: compute the output of an LTI system in the time and frequency domains

TEXT BOOKS:

i. Oppenheim, Willsky and Hamid, “Signals and Systems”, 2nd Edition, Pearson Education, New Delhi, 2015.(Units I - V)

ii. Simon Haykin, Barry Van Veen, “Signals and Systems”, 2nd Edition, Wiley, 2002

REFERENCES:

i. B. P. Lathi, “Principles of Linear Systems and Signals”, 2nd Edition, Oxford, 2009.

ii. M. J. Roberts, “Signals and Systems Analysis using Transform methods and MATLAB”, McGraw- Hill Education, 2018.

iii. John Alan Stuller, “An Introduction to Signals and Systems”, Thomson, 2007.