Labsheet 2 PDF

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Indian Institute of Space Science and Technology Thiruvanathapuram

DSP Lab Assignment 2

Submitted by Sambuddha Majumder SC16B133 5th Semester Engineering Physics INDIAN INSTITUTE OF SPACE SCIENCE AND TECHNOLOGY THIRUVANANTHAPURAM

August 06, 2018

Problem 1 Q no. a AIM:A random signal of length 100 whose elements are uniformly distributed in an interval . • A random variable ’r’ is generated using ’rand’ function,which generally takes value from 0 to 1. So it was multiplied by 4 and 2 is substracted from it to form the range -2 to 2 . • The figure is plotted. Listing 1: Matlab code for random distribution – . 1 2 3 4 5

r = -2+ 4.*rand(100,1); plot(r); xlabel(’n’) ylabel(’x[n]’) title(’Random distribution’)

Inference: A Random distribution has been plotted of length 100 and its elements are uniformly distributed in the range of [-2,2] 1

Q no. b AIM:A Gaussian random signal of length 75 whose elements are normally distributed with zero mean and a variance of 3. ALGORITHM: • A gaussian random distribution was made using ’randn’ function with length 75 . • Square root of 3 was multiplied with it to give a variance of 3. • The figure is plotted.

Listing 2: Matlab code for gaussian random distributionn – . 1 2 3 4 5

r = sqrt(3).*randn(75,1); plot(r); xlabel(’n’) ylabel(’x[n]’) title(’Gaussian Random distribution’)

Inference: A Gaussian random signal of length 75 with a variance 3 and 0 mean has been plotted. 2

Q no. c AIM: A MATLAB program to generate and display five sample sequences of a random sinusoidal signal of length 31 X[n] = A . cos(wn+ phi) where the amplitude A and the phase phi are statistically independent random variables with uniform probability distribution in the range 0...