|Oct26-12, 01:05 PM||#1|
Rectangular Fourier transform
Is there a name for a transformation using the orthonormal base
[tex]s_k(x)=\lceil \sin kx \rceil,\: c_k(x) = \lceil \cos kx \rceil \quad ?[/tex]
So basically a Fourier transform or Fourier series using periodic rectangles. What are the properties? Is there some kind of convolution theorem?
|Oct27-12, 03:53 PM||#2|
I found some answers. The Walsh-transform looks very similar. I noticed that the functions are not orthogonal so sign(sin(kx)) and sign(cos(kx)) is probably a better choice.
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