window function

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karthy

Joined: 04 Sep 2004
Posts: 22

12 Sep 2004 16:45 window function

hi,
i have a window function w(n). i convolute the input signal with this window function. if i convolute the convoluted signal with the window functon again, can i get back the input signal? if not, is there any window function with this property(similar to pn sequence)?

brmadhukar

Joined: 21 Jun 2002
Posts: 844
Helped: 29

13 Sep 2004 17:44 Re: window function

Hi,
convolution means spreading. There is no simple function ( Random number gerator -- PN sequence is an exception) with the property u desire.
B R
Madhukar

dora

Joined: 11 Jun 2003
Posts: 157
Helped: 2

13 Sep 2004 18:17 Re: window function

Hi karthy

Any window which obey conv(w(n),w(n)) = delta(n) will have the property mention by you. PN is not the only secuence with this kind.
For example the cross corelation of the chirp signal is also close to delta function.

Another one view point in this respect is the inverse system.
System followed by the it's inverse system repeate the input.
You can read about inverse systems in the book Discrete Time Signal Provessing by Openheim ... Check the chepter about casual and minimum phase systems.

Hope this helps
dora