SS (B-TECH Electronics and Communication Engineering 4th)

SECTION-A

Signals: Definition, types of signals and their representations: continuous-time/discrete-time, periodic/nonperiodic,

even/odd, energy/power, deterministic/ random, one-dimensional/multi-dimensional; commonly

used signals (in continuous-time as well as in discrete-time): unit impulse, unit step, unit ramp (and their

inter-relationships), exponential, rectangular pulse, sinusoidal; operations on continuous-time and discretetime

signals (including transformations of independent variables).

SECTION-B

Fourier Transforms (FT):

(i) Definition, conditions of existence of FT, properties, magnitude and phase spectra, Some important FT

theorems, Parseval’s theorem, Inverse FT, relation between LT and FT

(ii) Discrete time Fourier transform (DTFT), inverse DTFT, convergence, properties and theorems,

Comparison between continuous time FT and DTFT

SECTION-C

Time and frequency domain analysis of systems

Analysis of first order and second order systems, continuous-time (CT) system analysis using LT, system

functions of CT systems, poles and zeros, block diagram representations; discrete-time system functions,

block diagram representation, illustration of the concepts of system bandwidth and rise time through the

analysis of a first order CT low pass filter

SECTION D

Laplace-Transform (LT) and Z-transform (ZT):

(i) One-sided LT of some common signals, important theorems and properties of LT, inverse LT, solutions

of differential equations using LT, Bilateral LT, Regions of convergence (ROC) (ii) One sided and Bilateral

Z-transforms, ZT of some common signals, ROC, Properties and theorems, solution of difference equations

using one-sided ZT, s- to z-plane mapping .