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rectifier in frequency domain

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sadid

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hello
what does a rectifier do in frequency domain?[in signal vision]
is it true if we say "it multiple frequency by 2?
 

A rectifier is not a linear function, so it cannot be represented as an LTI system. Because of this, there's no meaningful way to represent it in the frequency domain.
 

thank
but i think the fourier transform applied to every signal except those that havn't Drishlet condition so we can analyse rectifier in f domain (if no why?)
rectifier is not a LTI system so we can't use this equation: y(f)=H(f).X(f)


after all i have problem with this:
if we apply a white noise to an Ideal LPF with B band width and after that a full wave rectifier what is the E[y^2]?
 

Hi

I dont know what you mean by [in signal vision] , it confuse me, I dont know if you are working with figures or ........ what.

On the other hand if you are talking about any signal which rectified version can be represented by |x(t)|, then the answer is no in general, there may be some signal for which it may hold true, but it is not general, besides that the shape of the Fourier transform totally change, with a high component at frequency zero.

Sal
 

sadid,
The fundamental of a half-wave rectified sine wave is equal to the input fundamental frequency. The fundamental of a full-wave rectified sine wave is equal to twice the input fundamental frequency.
.
For the fourie series of each see, for example:
.
h**p://www.rfcafe.com/references/electrical/periodic_series.htm
Regards,
Kral
 

at first excuse me if my question is not good and confusing (my english lan. is poor)
i describe question again in post 3:
if we apply a white noise to an Ideal LPF with B band width and after that a full wave rectifier what is the E[y^2]?

i face to this question in a analog communication paper i thouhgt every signal with every shape that have fourier eq when applied to a full wave rectifier its freq. components multiple by 2 but that paper solve this problem in another way. depend on that full wave rectifier do nothing.:|
 

Thats true, full wave rectifier doesn't really mean that it mutiplies every frequency by two, eventhough it holds true for sinusoids.. It just means |x|
 

but if we be able to model the x as its Fourier equivalent (as sin & cos) so every signal (if has Fourier eq) so all component freq. multiple by 2.
excuse me for this i just to know more.(by the way i see this topic again suddenly ): )
1.why this is not true?
2.why rectifier do nothing (it converts signals to |x|!)?
 

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