1. Introduction to signals

2. Elementary signals

1. Continuous & Discrete time signals (* comparison * examples )

2. Signal operations (* Time delay / advancing * Time folding * Time scaling (time compression & exapansion) * rule for time time shifting and scaling * Signal operation explanation with an example )

Topics covered

1.Signal Operation or transformation examples

Introduction ,Problem No1, Problem No2 ,Problem No3

1.Classification of signals

Introduction ,Periodic and no periodic signals, Energy & power signals ,Deterministic & random signals

Topics covered

Introduction to periodic and no periodic signals ,CTS Fundamental time period properties, DTS periodic signal condition, fundamental frequency & fundamental angular frequency expression, how to calculate fundamental time period of a continuous time sigal, Problem 1 & Solution, Problem 2 & Solution, Problem 3 & Solution

Topics covered

Introduction to even & odd signals , problems & solutions

Topics covered

Introduction to Energy Signals, Problems & Solution

Topics covered

Power signal conditions & important points , Problems & Solution

Topics covered

Comparison between Energy & power signals, Neither energy nor power signals

Topics covered

Introduction to systems, Properties/calssification of Systems

Topics covered

Introduction to static & Dynamic systems, Definition of Static systems, Definition of Dynamicsystems, System with memory and memory less systems, Problems & Solution

Topics covered

Introduction to Causal & Noncausal systems, Anticausal systems, Problems & Solution

Topics covered

Introduction to Time invariant & Time variant System, Problems & Solution,

Topics covered

Introduction to Linear & Non linear systemsty, Law of additivity, Law of homogenei, Problems & Solution,

Topics covered

Introduction to Stable & unstable Systems, BIBO criteria, Problems & Solution

Topics covered

Introduction to LTI systems, Convolution integral, Problem & Solution

Topics covered

Introduction to Discrete time LTI systems, discrete time LTI systems representation of signals ,Convolution sum expression,length of the convolution, convolution Problem & Solution

Topics covered

Introduction to stability of LTI systems, Stability problems & solution , Introduction to causality of LTI systems, Causality problems & solution

Topics covered

Introduction to correlation between signals ,Auto correlation , Cross correlation,relationsip between correlation and covolution , Solved problem for discrete time cross correlation (matrix method)

Topics covered

Orthogonal vector, Orthogonality in signal analysis,Orthogonal signal problem & solution (continuous signal) , Orthogonal signal problem & solution (discrete signal)

Previous year question paper solution (SEPT 2020)

Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), SEPT 2020

Course Name: SIGNALS & SYSTEMS

Focused topics - Signals, Systems, Properties of Signals & systems, fundamental time period

Q 1a) Determine if the following signals are energy signals, power signals or neither. Calculate the Energy and Total average power for all signals.

i) x(t)=(0.5)^t u(t) , ii) x(t)=sin(omega*t + theta) , ii) x[n] = u[n]

Q 1c) Check whether the given signals are periodic. If so, compute the period

i) x(t) = cos(pi/3 * t) + sin(pi/4 *t), ii) x[n] = u[n]

Previous year question paper solution (SEPT 2020)

Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), SEPT 2020

Course Name: SIGNALS & SYSTEMS

Focused topics - Signals, Systems, Properties of Signals & systems, fundamental time period

Questions

2 a) Determine whether the following systems are a)causal, b) stable, c) linear, d) time invariant e) memoryless

i) y[n] = ax[n] + b, ii) y(t) = v_m(t) + cos(omega_c * t), iii) y(t) = integral x(tow) d_tow

2 b) Compute and plot the autocorrelation of the signal x(t) = A cos(omega*t + theta)

3 a) Find the convolution between the signals x_1(t) = e^2t u(t) & x_2(t) = u(t+2)

3 b) Find the output of a discrete LTI system described by the impulse response h[n] = [ 2 -4 2 ], x[n] = [1 2 3 2 1 ]

Previous year question paper solution (SEPT 2020) Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), DEC 2019

Course Name: SIGNALS & SYSTEMS

Focused topics - Signals, Systems, Properties of Signals & systems, fundamental time period

Questions 1a) Check whether the following signals are periodic or not. If periodic, find the fundamental period.

i) x(t) = sin(200*pi*t)+ cos (150*pi*t)

ii) x(t) = sin(0.15*pi*n) + cos(0.1*pi*n)

b) Check whether the system, y(t) = x^2(2t) is

(i) Linear (ii) Time-Invariant (iii) Causal (iv) Stable.

3 a) Given x(t) = u(t+1) + u(t-1) – u(t-2) – u(t-4). Plot

(i) x(t) (ii) x(t-3) (iii) x(2t) (iv) x(2t-3)

b) What is the condition for two signals x(t) and y(t) to be orthogonal? Give example of two signals which are orthogonal.

Ans : https://youtu.be/jBroZnQhisY

c) Show that the output of an LTI system with impulse response h[n] to the input x[n] is the convolution sum of x[n] and h[n].

Ans : https://youtu.be/ydYc5ivZrvE