From: Frank on 8 Apr 2010 06:56 How can I create a bandlimited white Gaussian signal? For example, what can I do if I want to construct a Gaussian signal with zero mean and extending over the frequency band [-0.75pi, 0.75pi]? Thanks a lot.
From: Frank on 11 Apr 2010 22:54 Can anyone help?
From: Greg Heath on 12 Apr 2010 06:37 On Apr 8, 6:56 am, "Frank " <allinone_2...(a)yahoo.com.hk> wrote: > How can I create a bandlimited white Gaussian signal? > > For example, what can I do if I want to construct a Gaussian signal with zero mean and extending over the frequency band [-0.75pi, 0.75pi]? > > Thanks a lot. Find a reference that gives you the relationship between the spread of a Gaussian time function and the spread of it's Gaussian Fourier transform. Then find the level at which you are defining the boundaries of the passband (e.g., -3dB, -6dB, or -10dB). The rest should follow more easily. Hope this helps. Greg
From: Greg Heath on 12 Apr 2010 06:46 On Apr 12, 6:37 am, Greg Heath <he...(a)alumni.brown.edu> wrote: > On Apr 8, 6:56 am, "Frank " <allinone_2...(a)yahoo.com.hk> wrote: > > > How can I create a bandlimited white Gaussian signal? > > > For example, what can I do if I want to construct a Gaussian signal with zero mean and extending over the frequency band [-0.75pi, 0.75pi]? > > > Thanks a lot. > > Find a reference that gives you the relationship between the > spread of a Gaussian time function and the spread of it's > Gaussian Fourier transform. Then find the level at > which you are defining the boundaries of the passband > (e.g., -3dB, -6dB, or -10dB). > > The rest should follow more easily. I missed the adjective "white" which indicates you are not looking for a deterministic Gaussian pulse but a noise signal with a flat spectrum and a Gaussian probability distribution. Sorry. However, if there is no answer when I come back tonight, I will try to help. Greg I have a sneaky feeling that you are not looking for a determin > Hope this helps. > > Greg
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