Exercise 2 (Convolution and echo): There are several built-in MATLAB sounds, suc

Question

Exercise 2 (Convolution and echo): There are several built-in MATLAB sounds, such as chirp, gong, handel, laughter, splat, and train. These sounds are built-in *.mat files that define the sound to appear in a vector named y, and also define the sampling rate for that sound to be in Fs. Pick two sounds and figure out the length of the sounds in seconds. Next, pass the sounds of your choice through the following system: h |1, zeros( 1, dly * Fs), 0.75 where dly is the delay of the echo in seconds. Use sound to play both the input and output for various choice of dly. Explain what you heai.

Explanation / Answer

%%%%%%%%%%%%%%%%%%%%%%%%%%

%% filtering sounds

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% Loading the sound files and finding all relevant parameters

load laughter.mat;

laughter_Fs = Fs;

laughter_y = y;

laughter_time = length(laughter_y)/laughter_Fs;

load train.mat;

train_Fs = Fs;

train_y = y;

train_time = length(train_y)/train_Fs;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% Generating the echo

dly1 = 0.5; dly2 = 1;                   % two delay values

h1 = [1,zeros(1,dly1*Fs),0.75];         % impulse response of first system

laughter_h1 = conv(laughter_y,h1);      % laughter passed through h1

train_h1 = conv(train_y,h1);            % train passed through h1

h2 = [1,zeros(1,dly2*Fs),0.75];         % impulse response of second system       

laughter_h2 = conv(laughter_y,h2);      % laughter passed through h2

train_h2 = conv(train_y,h2);            % train passed through h2

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% generating the sound files

%% Please unmute your speakers

%% the delays have been provided to prevent sound overlaps.

sound(laughter_y);

pause(8);                       % delay of 8 secs

sound(laughter_h1);

pause(8);

sound(train_y);

pause(3);                       % delay of 3 secs

sound(train_h1);

pause(5);

sound(laughter_y);

pause(8);

sound(laughter_h2);

pause(8);

sound(train_y);

pause(3);

sound(train_h2);

* End of Code **

CONCLUSION:

by observing the speaker outputs,we can notice the echong overlap of the sound in both cases,the first one has a delay of 0.5 sec and the other has a value of 1 sec ,the overlap may be a tough to synchronise for the laughter sound ,beacuase it is a long file and we have to verify that hte signals with echo play longer,indicating perfect echoing overlap.

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