ANSWER AS A MATLAB SCRIPT THE QUESTIONS RELATE TO MATLAB,WRITE A MATLAB CODE FOR ALL OF THE QUESTIONSGIVE THE ANSWER AS A MATLAB SCRIPT THE QUESTIONS RELATE TO MATLAB

The Problem We all use Fourier analysis every day without even knowing it. Mobile phones, disc drives, Blu-Rays, and JPEGs all involve fast finite Fourier transforms. Touch-tone telephone dialling is an example of everyday use of Fourier analysis. The basis for touch-tone dialling is the Dual Tone Multi-Frequency (DTMF) system. The telephone dialling pad acts as a 4-by-3 matrix. Associated with each row and column is a frequency. These basic frequencies are: rowFreq =[671770852941] colFrq =[120913361477] for button ' 6 ' is given by y, where y=(y1+y2)/2y1=sin(2lfr(k))andy2=sin(2lfc(j)) respectively. Given the signal of a series of tones can you determine the associated phone number? To do this you need to use MATLAB's FFT function. The expression fft(x) computes the finite Fourier transform of any vector x. (sig) and fs the sampling rate. Set Fs to the sample rate ( y.fs) and make y the signal (at double precision) divided by 128 (to resample the vector) ( y= double(y.sig)/128) Q1) In seconds, how long is this file recording? Set recording Time as your answer. [2 marks] plot a title. [2 marks] Q3) Find the associated phone number for this signal, set the final answer to phoneNumber (which should be a string). [6 marks]