Signals and Systems (3150912) Syllabus for Mid Semester examination

 Electrical Engineering Department

Government Engineering College, Bhaurch

5th semester

Signals and Systems (3150912)

Syllabus for Mid Semester examination:

1. Introduction to Signals and Systems:

Signals and systems everyday life, biomedical, instrumentation domestic and industries. Representations of Signals, Classifications of Signals – Continuous time, Discrete time, comparison among Analog, Digital and Discrete Signals, Signal properties: periodicity, absolute integrability, determinism and stochastic character. Some special signals of importance: the unit step, the unit impulse, the sinusoid, and the complex exponential. System properties: linearity: additivity and homogeneity, shift-invariance, causality, stability, realizability. Examples

3. Fourier, Laplace and z-transforms:

Representation of periodic functions, Fourier series, Frequency spectrum of aperiodic signals, Fourier Transform, Relation between Laplace Transform and Fourier Transform and its properties. Parseval's Theorem. Review of the Laplace Transform for continuous time signals and systems, system functions, poles and zeros of system functions and signals, Laplace domain analysis, solution to differential equations and system behavior. The z-Transform for discrete time signals and systems, system functions, poles and zeros of systems and sequences, z-domain analysis

4. Sampling & reconstruction:

The Sampling Theorem and its implications. Spectra of sampled signals. Reconstruction: ideal interpolator, zero-order hold, first-order hold. Aliasing and its effects. Relation between continuous and discrete time systems. Introduction to the applications of signal and system theory: modulation for communication, filtering, feedback control systems

Course Outcomes:

CO 1. Describe the type of system and signal in Industries and Domestic level for Interfacing.

CO 2. Derive mathematical model of the systems and signals for the applications

CO 3. Analyze the response of system for the efficient usage of the systems.

(Prof. A.K.Giri)                           (Prof. S.I.Shah)                                        (Prof.P.K. Shah)