1. (10 points) udio file from the elearning course page. Extract the file and save it 4 of 5 work directory (b) Read the whole file into MATLAB and store it in the vector, (c) Determine the length of the audio file in seconds. D (d) Play the sound file using MATLAB and listen to the signal carefully at a sampling rate 8000 Hz (e) Use MATLAB to obtain the spectrum of the audio signal, m(t), for this you can use the provided function [Xw.w) -SpecSigProj(x, t). For more information about this func- tion type help SpecSigProj. Then, according to the channel bandwidth requirement, design a fifth order Butterworth filter to pass the signal frequency components up to the required bandwidth. In this case the nun and den can be calculated automatically using butter (N,wc, 's') command as shown in class. Show the frequency response of the designed system, the spectrum of the signal m(t) and melt) at the input and output of the LTI system, H (w). In your report show the complete design of H, (w) and the expression of the frequency response, input spectrum, output spectrum and the % energy lost due to H (W) insertion (6) Suppose the channel is an ideal LTI system with band width 4 KH, in this case the received signal is r(t). Us MATLAB to plot the spectrum of the signalr() (t)cos(2 x 15 x 10 t) right after the multiplication. In your report show the plot of R(w). (8) Depending on the obtained R(w), design a Butterworth LTI H2(w) such that m(t) m(t). Write down Hz(w). Listen to the signal m(t) and compare it with the original andio m(t). In your report show the complete design of H (w) and spectrum at the output, M () 1. (10 points) udio file from the elearning course page. Extract the file and save it 4 of 5 work directory (b) Read the whole file into MATLAB and store it in the vector, (c) Determine the length of the audio file in seconds. D (d) Play the sound file using MATLAB and listen to the signal carefully at a sampling rate 8000 Hz (e) Use MATLAB to obtain the spectrum of the audio signal, m(t), for this you can use the provided function [Xw.w) -SpecSigProj(x, t). For more information about this func- tion type help SpecSigProj. Then, according to the channel bandwidth requirement, design a fifth order Butterworth filter to pass the signal frequency components up to the required bandwidth. In this case the nun and den can be calculated automatically using butter (N,wc, 's') command as shown in class. Show the frequency response of the designed system, the spectrum of the signal m(t) and melt) at the input and output of the LTI system, H (w). In your report show the complete design of H, (w) and the expression of the frequency response, input spectrum, output spectrum and the % energy lost due to H (W) insertion (6) Suppose the channel is an ideal LTI system with band width 4 KH, in this case the received signal is r(t). Us MATLAB to plot the spectrum of the signalr() (t)cos(2 x 15 x 10 t) right after the multiplication. In your report show the plot of R(w). (8) Depending on the obtained R(w), design a Butterworth LTI H2(w) such that m(t) m(t). Write down Hz(w). Listen to the signal m(t) and compare it with the original andio m(t). In your report show the complete design of H (w) and spectrum at the output, M ()