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From: Rick T on 15 Feb 2010 05:25
Greetings all

I'm trying to figure out a way to
1)phase shift
2)vertical shift
3)increase/decrease the amplitude
4) increase/decrease the frequency of a periodic signal (x). I tried
multiplying the signal by cos(phi)+i*sin(phi) where phi is the new
phase of the signal but the phase stays the same and the amplitude
changes.

My thoughts where to somehow integrate the sine wave model into it.
http://jwelker.lps.org/eZedia/sin_modeling/frame_5.html

Is this possible?

Example code:

Fs = 100e2;
t=(0:Fs)/Fs';
x=sin(2*100*t);
% Now phase delay by pi/4 radians
y = x*cos((pi/4)+i*sin(pi/4));
% Finally take the real part (or the imaginary if you want)
plot(t(1:1000),real(x(1:1000)));
hold on;
plot(t(1:1000),real(y(1:1000)),'k');

thanks
sal22
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