[SciPy-User] FFT Filter

Warren Weckesser warren.weckesser@enthought....
Tue Sep 27 06:53:43 CDT 2011

```Anders,

The attached script is a variation of
http://www.scipy.org/Cookbook/FIRFilter.  It uses firwin() to create a
bandpass filter, and plots the frequency response and the results of
applying the filter to a sample.  It should be straightforward to modify it
to use firwin2() instead, if desired.

The script uses scipy.signal.lfilter to apply the filter, but this isn't the
fastest way to apply a FIR filter.  Take a look at an experiment that I did
here http://www.scipy.org/Cookbook/ApplyFIRFilter to see a comparison of
several way of applying a FIR filter.

Regards,

Warren

On Tue, Sep 27, 2011 at 4:47 AM, Anders Harrysson <
anders.harrysson@fem4fun.com> wrote:

>  Hi,
> Thanks a lot for the reply. I have started to look into this and currently
> I am trying to use firwin2 to generate the filter coefficients according to
> below
>
> b=signal.firwin2(512,freq,gain,nfreqs=N,nyq=nf)
>
> X2=signal.lfilter(b,[1.0],y)
>
> However I get strange results, when trying to filter even a very simple
> signal :(. This is probably not a scipy related question, but how to put the
> numtaps number? How is this related to the other inputs.
>
> Regards,
> Anders  **
>
> Christophe Grimault skrev 2011-09-26 18:32:
>
> Hi Anders,
>
> Use : scipy.signals.lfilter(b, a, x)
>
> Where x is your signal (complex or real, it doesn't matter). As a filter
> in the Fourier domain is basically FIR filter, you only need to pass the
> b array (the response of the filter) and set a = [1.0].
>
> Chris
>
> On Sat, 2011-09-24 at 09:33 +0200, Anders Harrysson wrote:
>
>  Dear all,
>
> I am kind of new to scipy and also new to the signal processing field
> that this question relates to.
> I am trying to do a bandpass FFT filter using python. The filter shape
> is symmetric around 11 Hz and is defined by the parameters ff and Hz below.
>
>
> sr = 250                    # [samples/s]
> nf = sr/2.0                # Nyquist frequence
> Ns = len(tr[:,0])       # Total number of samples
> N=float(8192)          # Fourier settings
>
> # Fourier transform
> X1 = fft(x,n=int(N))
> X1 = fftshift(X1)
> F1 = arange(-N/2.0,N/2.0)/N*sr
>
> # Filter
> ff=[0,1,1,0]
> Hz = [9.5, 10, 12, 12.5]
> k1=interp(-F1,Hz,ff)+interp(F1,Hz,ff)
> X1_f=X1*k1
> X1_f=ifftshift(X1_f)
> x1_f=ifft(X1_f,n=int(N))
>
> My question is now:
> Are ther built in functionallity for filtering in scioy and, if so, how
> would a similar filter looks like.
>
> Regards,
> Anders Harrysson
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