 ## EC3354 SIGNALS AND SYSTEMS

COURSE OBJECTIVES :

• To understand the basic properties of signal & systems
• To know the methods of characterization of LTI systems in time domain
• To analyze continuous time signals and system in the Fourier and Laplace domain
• To analyze discrete time signals and system in the Fourier and Z transform domain

# UNIT I             CLASSIFICATION OF SIGNALS AND SYSTEMS                                      6+6

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                                         6+6

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

# UNIT III           LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEMS                     6+6

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                                               6+6

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

• Z Transform & Properties

# UNIT V            LINEAR TIME INVARIANT-DISCRETE TIME SYSTEMS                           6+6

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.

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 continuous 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:

1. Oppenheim, Willsky and Hamid, “Signals and Systems”, 2nd Edition, Pearson Education, New Delhi, (Units I – V)
2. Simon Haykin, Barry Van Veen, “Signals and Systems”, 2nd Edition, Wiley, 2002

# REFERENCES :

1. P. Lathi, “Principles of Linear Systems and Signals”, 2nd Edition, Oxford, 2009.
2. J. Roberts, “Signals and Systems Analysis using Transform methods and MATLAB”, McGraw- Hill Education, 2018.
3. John Alan Stuller, “An Introduction to Signals and Systems”, Thomson,