Periodic Signals

The signal x(t)=sin(t) was chosen:

HW2A1 ECE301Fall2008mboutin.png

Sampling at a frequency of 1 yields a non periodic signal:

HW2A2 ECE301Fall2008mboutin.png

Sampling at a frequency of .125*pi yields a periodic signal:

HW2A3 ECE301Fall2008mboutin.png

Taking a non periodic signal x(t)=log(t)and making it periodic can be done by taking a portion of the signal and repeating it over and over.

HW2A4 ECE301Fall2008mboutin.png

clc
clear

t=.01:.01:1;
x=log(t);
i=[];
for d=1:10
    i=[i,x];
end

t=[.01:.01:10];
plot(t,i)
grid on

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett