Checking a Random process for stationarity in wide sense
AIM: Checking a random process for stationarity in wide sense.
EQUIPMENTS:
PC with windows (95/98/XP/NT/2000).
MATLAB Software
Theory: A stationary process is a stochastic process whose joint probability distribution does not change when shifted in time or space. As a result, parameters such as the mean and variance. If they exist, also do not change over time or position.
MATLAB PROGRAM:
clear all
clc
y = randn([1 40])
my=round(mean(y));
z=randn([1 40])
mz=round(mean(z));
vy=round(var(y));
vz=round(var(z));
t = sym('t','real');
h0=3;
x=y.*sin(h0*t)+z.*cos(h0*t);
mx=round(mean(x));
k=2;
xk=y.*sin(h0*(t+k))+z.*cos(h0*(t+k));
x1=sin(h0*t)*sin(h0*(t+k));
x2=cos(h0*t)*cos(h0*(t+k));
c=vy*x1+vz*x1;
%if we solve "c=2*sin(3*t)*sin(3*t+6)" we get c=2cos(6)
%which is a constant does not depend on variable 't'
% so it is wide sense stationary
CONCLUSION: In this experiment the checking a random process for stationary in wide sense have been verified using MATLAB
VIVA QUESTIONS
1. Define Signal.
Ans: Signal is function of one or more variables to convey information.
2. Define deterministic and Random Signal.
Signal that can be modeled exactly by a mathematical formula is known as deterministic signal.Random signals are random variables which evolve, often with time (e.g. audio noise), but also with distance (e.g. intensity in an image of a random texture), or sometimes another parameter.

UpdatedFeb 02, 2020

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