2- Random Variables and Noise In MATLAB create the following signal: s(t)=Ac[1+kaAmcos(2fmt)]cos(2fct) where, Ac=1,Am=1,ka=0.5,fm=1, and fc=10. (a) Generate a sequence of N random numbers drawn from a uniform distribution in the interval of 0 and 0.1. Consider this sequence as a random signal w(t). In creating s(t), chose the sampling time properly and take N to be equal to the number of time samples so that s(t) and w(t) are of the same length. Plot w(t). (b) Calculate the SNR (signal to noise ratio) for s(t)+w(t). (c) Consider an ideal bandpass filter with the central frequency of f0=10Hz and of bandwidth BW=2Hz. Consider that w(t) passes through this filter and the output is n(t). Using the linear system theory, numerically calculate n(t). Plot n(t). (d) Calculate the SNR (signal to noise ratio) for s(t)+n(t)