I have two piecewise defined functions, x(t) and a reversed and shifted version of x(t) as shown below…I am supposed to use the symbolic toolbox in Matlab to calculate the energy of these two signals and explain how they are related. Not sure what the symbolic toolbox is…is it using syms function? Code for both signals is below.
% code
x = @(t) zeros(size(t)) +(t >= 0 & t < 2).*((1/2)*exp(t)) + (t >= 2 & t < 4).*(2*t-8);t = linspace(0,6);plot(t,x(t))axis([-1 8 -4 4])xlabel('Time(t)')ylabel('x(t)')title('Function x(t)')% codex = @(t) zeros(size(t)) +(t >= 0 & t < 2).*((1/2)*exp(t)) + (t >= 2 & t < 4).*(2*t-8);f = @(t) x(-t-1);t = linspace(-7, -1);plot(t,f(t))axis([-8 1 -4 4])xlabel('Time(t)')ylabel('f(t)');title('Left shift and time reversal of x(t)')
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