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GAussian VS Sinc

T

thejim

Jan 1, 1970
0
Can someone tell me please what is the difference between a Gaussian
Frequency spectrum and Sinc frequency spectrum.
I know what Gaussian and SInc functions are but i need someone to
explain me how do they apply to the frequency spectrums.
 
J

John O'Flaherty

Jan 1, 1970
0
thejim said:
Can someone tell me please what is the difference between a Gaussian
Frequency spectrum and Sinc frequency spectrum.
I know what Gaussian and SInc functions are but i need someone to
explain me how do they apply to the frequency spectrums.

If you graph magnitude vs. frequency of a sinc or gaussian spectrum
(which could represent the amplitude of a signal, or the response of a
system), they'll be those functions that you know. The sinc function is
the frequency domain transform of a rectangular pulse in the time
domain. The one-sided gaussian frequency spectrum is the transform of a
gaussian time-domain pulse. Here are some pictures...
http://www.dspguide.com/ch11/3.htm
Other Transform Pairs
 
M

me

Jan 1, 1970
0
Can someone tell me please what is the difference between a Gaussian
Frequency spectrum and Sinc frequency spectrum.
I know what Gaussian and SInc functions are but i need someone to
explain me how do they apply to the frequency spectrums.

If you actually knew what the functions are you would not be asking this
question...
 
B

Bob Masta

Jan 1, 1970
0
Can someone tell me please what is the difference between a Gaussian
Frequency spectrum and Sinc frequency spectrum.
I know what Gaussian and SInc functions are but i need someone to
explain me how do they apply to the frequency spectrums.

Simplistic answer: Gaussian decays smoothly to zero
at infinity in either direction. Sinc *oscillates* as it
decays.

Best regards.


Bob Masta
dqatechATdaqartaDOTcom

D A Q A R T A
Data AcQuisition And Real-Time Analysis
www.daqarta.com
Home of DaqGen, the FREEWARE signal generator
 
R

redbelly

Jan 1, 1970
0
Even more important than the oscillations: sinc decays much more slowly
than a Gaussian. The larger contributions from high frequencies make a
sinc spectrum undesireable in many applications.

Mark
 
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