Matlab exercise: Signals and Systems HW#3

The following steps will guide you through the Matlab exercise

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In the Matlab Command window type:

x = [1:1:140]; % sets up the domain

yCarrier = cos(pi*x/8); % create a sinusoid to act as a carrier

plot(x,yCarrier); % and plot it

ySignal = rand(size(yCarrier)); %create a signal to be transmitted

plot(x,ySignal); % and plot that too

ySum = yCarrier + ySignal; % create an average signal

yDiff = yCarrier – ySignal; % create a difference signal

(a)
Using only linear combinations of the ySum and yDiff signals, recover the ySignal and plot it.

(b)
Confirm that the ySignal recovered in (a) is equal to the original

(c)
Give an example of a biological signal which could be analyzed using the model above. Be specific by identifying the components of the biological process as in the model above.

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