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7th August 2018, 17:47 #1
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Design filter by least squares
The LS error methods use an error criterion that is related to the energy of
the signal or noise.
The design problem is posed by defining an error measure E as a sum (or integral) of the
squared differences between the actual and the desired frequency response over a
set of L frequency samples. This error function is defined as
Code:E=\sum_{n = 0}^{L1}(H(\omega)H(\omega)_d^2
One of the most effective modifications of the direct LS error design methods is
to change the bands of frequencies over which the minimization is carried out.
(from the book : Digital Filter Design  Parks and Burrus).
The question : how the LS error design methods is to change the bands of frequencies ?Last edited by bassa; 7th August 2018 at 18:06. Reason: Add Latex code

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9th August 2018, 18:55 #2

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9th August 2018, 19:11 #3
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Re: Design filter by least squares
I want to understand ,''One of the most effective modifications of the direct LS error design methods is
to change the bands of frequencies over which the minimization is carried out.''
what i understood the change bands of frequencies is done by using the iteration method, am I right?

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9th August 2018, 20:37 #4
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Re: Design filter by least squares
What dou you mean by change band ?
Do you mean weighting for band ?
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10th August 2018, 14:31 #5
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19th August 2018, 15:52 #6
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Re: Design filter by least squares
I didn't check the phrase in the book. But as far as I understand, it refers to the bandwidthchanging property of a regular digital FIR filter.
Remembering that the passband freq of FIR is related to the sampling frequency with a fixed percentage, changing the sampling frequency changes the band of the filter.
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