EC 306 SIGNALS AND SYSTEMS

Hours/Week: 4 I A Marks:25

Total Hours : 48 Exam Marks :100

1. Introduction: What is a signal? What is a system? Overview of specific systems, Classification of signals, basic operations on signals, elementary signals, systems viewed as interconnections of operations, properties of systems. 08 hrs.

2. Time domain representations for Linear Time – Invariant systems: Introduction, Convolution: Impulse response representation for LTI systems, Properties of the Impulse representation for LTI systems, Differential and difference equation representation for LTI systems, block diagram representations. 10 hrs.

3. Fourier representations of signals: Introduction, Discrete-Time periodic signals: The Discrete-Time Fourier Series, Continuous – Time periodic signals: The Fourier series, Discrete – Time non – periodic signals: The Fourier Transform, Properties of Fourier representation. 10 hrs.

4. Application of Fourier representations: Introduction, Frequency response of LTI systems, Fourier Transform representations for periodic signals, convolution and modulation with mixed signal classes, Fourier transform representation for discrete time signals. Sampling, reconstruction of continuous time signals, Discrete – Time processing of Continuous time signals. 10 hrs.

5. Z – Transform: Introduction, The Z – Transform, properties of the ROC,Properties of the Z – Transform, Inversion of Z – Transform, Transform analysis of LTI systems, The Unilateral Z – Transform. 10 hrs.

Reference Books:

• Signals and Systems, Haykin & Van Veen : Wiley.

• Signals and Systems, Oppeneheim et.al., PHI