Generalized Delta Functions A set of generalized delta functions can be defined

Question

Generalized Delta Functions A set of generalized delta functions can be defined as: and Notice that (r) is the standard Drac delta function, ! (r) is the unit step function, and 3(r) is the ramp function Function Composition functions. For example the two functions shown in Figure 1(a) and 1(b) can be represented as: Ay piece-wise lynomial function can be represented as a linear sum of shifted generalized Delta Any piece-wise polynomial function can be represented as a linear sum of shifted generalized Delta MATLAB/Octave Representation Octave delta fiinctions that corresnond to the generalize delta functions above are defined for vou in

Explanation / Answer

I have provided the genper function of the values on the intervals depicted above.

As we can see that the interval is [-10 10] and the values for A and T are given.

a) For A=1 and T=1

We plot the genper function for this value as

function y=x1(t)
y=genper(1,1,[-10 10]);
plot(y);
end

B) For the value of A=1 and B=2

function y=x1(t)
y=genper(1,2,[-10 10]);
plot(y);
end

C) For the value of A=2 and T=1

function y=x1(t)
y=genper(2,1,[-10 10]);
plot(y);
end

D] For the value of A=2 and B=2

function y=x1(t)
y=genper(2,2,[-10 10]);
plot(y);
end

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