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Multirate filter- request for help

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alexgaas

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Multirate filter

Hi everybody!
I'm working on a UWB radar and i have an analog front end that samples the input signal in a nonuniform way.
For the reconstruction filter i would use a nonuniform reconstruction algorithm from IEEE transaction on signal processing.These are links :

https://www.rle.mit.edu/dspg/documents/00Eldar.pdf

webee.technion.ac.il/Sites/People/YoninaEldar/Info/70.pdf

The second link is the case for periodic signal, the only difference is in the low-pass filter that is sinx/x in the first case while sin(Mx)/sin(x) in the second one.
At page 11-12 and 13 there is the scheme of the multirate filter that is necessary.
The impulse response of this filter is a summation of N scaled and shifted version of low pass one (you can see an example in figure 6).
What are an efficient implementation of this kind of filter??
In my application N could be very large from 10 to 100.
So i need 100 FIR filter??Is there other implementation more efficient (not necessary in time domain)??

Thanks a lot!
 

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