Creating a matrix of sinusoids with time increasing over rows, and frequency + phase increasing stepwise over columns
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I need to create a matrix/array of sinusoids with time vector increasing along rows and frequency vector increasing along columns together with a phase vector. The frequency vector and phase component of the sinusoids each increase stepwise on a logarithmic scale.
Something like this:
t = t1:int:n;
f = logspace(-1,4,100);
p = logspace(-1,pi,100);
y(t, f, p) = sin(2*pi*f*t + p)
The desired result is as follows (column and row headings are added for clarity of the question here):
Y{} =
f1/p1 f2/p2 ... f100/p100
-- --
t1 |sin(2*pi*f1*t1 + p1) sin(2*pi*f2*t1 + p2) ... sin(2*pi*f100*t1 + p100)|
t2 |sin(2*pi*f1*t2 + p1) sin(2*pi*f2*t2 + p2) ... sin(2*pi*f100*t2 + p100)|
...| ... ... ... ... |
tn |sin(2*pi*f1*tn + p1) sin(2*pi*f2*tn + p2) ... sin(2*pi*f100*tn + p100)|
-- --
Help is hugely appreciated, thanks
2 Comments
Star Strider
on 4 Oct 2014
What about the answers provided to you in Creating a matrix of sinusoids with frequency increasing over columns and time increasing over rows didn’t work for you after you accepted it and got more than one good answer?
Accepted Answer
Guillaume
on 4 Oct 2014
Edited: Guillaume
on 4 Oct 2014
You would use ndgrid or meshgrid:
t = t1:int:n;
f = logspace(-1,4,100);
p = logspace(-1,pi,100);
[tt, ff] = ndgrid(t, f);
[~, pp] = ndgrid(t, p); %already got tt with first ndgrid
y = sin(2*pi*ff.*tt + pp); % be mindful of the by element multiply .*
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