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this time it's hard to tell whether this is the right forum to post this thread.

Suppose I have a continuous function [itex]f:\mathbb{R}\rightarrow [0,100)[/itex], whose Fourier transform exists and is known. Note that the codomain of the function is composed by all the real numbers between 0 and 100.

If I "quantize" the values f(x), how this quantization affects the spectral representation of f ?

More formally, suppose I have f(x) defined as above, and also its Fourier transform F(ω) is known.

I want to consider the function: [tex]g(x)=\lfloor f(x) \rfloor[/tex].

How can I study the Fourier transform G(ω) ?

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# Fourier transform of a quantized signal

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