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RTSD
HDL
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09adc0fc
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09adc0fc
authored
Jun 12, 2024
by
Eric Kooistra
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Add Nyquist filter and ref to pm_remez library.
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applications/lofar2/model/pfb_os/dsp_study_erko.txt
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09adc0fc
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@@ -54,6 +54,7 @@
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@@ -54,6 +54,7 @@
# https://www.dsprelated.com/showarticle/184.php
# https://www.dsprelated.com/showarticle/184.php
# . "Realisering van Digitale Signaalbewerkende Systemen, Toepassingen",
# . "Realisering van Digitale Signaalbewerkende Systemen, Toepassingen",
# 5N290, TUE, P.C.M. Sommen, --> DAC slide 19, 20,
# 5N290, TUE, P.C.M. Sommen, --> DAC slide 19, 20,
# * [PM-REMEZ] https://pm-remez.readthedocs.io/en/latest/
#
#
# https://ocw.mit.edu/courses/6-341-discrete-time-signal-processing-fall-2005/
# https://ocw.mit.edu/courses/6-341-discrete-time-signal-processing-fall-2005/
# Youtube: Guitars 4RL
# Youtube: Guitars 4RL
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@@ -259,7 +260,8 @@ c) s-plane and z-plane
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@@ -259,7 +260,8 @@ c) s-plane and z-plane
. firls = least squares
. firls = least squares
. fircls, fircls1 = constrained ls with pass, stop ripple
. fircls, fircls1 = constrained ls with pass, stop ripple
- The Remez or Parks-McClellan algorithm (scipy.signal.remez(), MATLAB
- The Remez or Parks-McClellan algorithm (scipy.signal.remez(), MATLAB
firpm)
firpm). The pm_remez library for Python in [PM-REMEZ] supports band
slope weight function and more taps.
. MATLAB FIR filters specify order n, so yield n + 1 coefs
. MATLAB FIR filters specify order n, so yield n + 1 coefs
. LS and Remez can do bandpass (= flat), differentiator, hilbert
. LS and Remez can do bandpass (= flat), differentiator, hilbert
. LS and Remez for large Ntaps (> 1000) can fail, but can be achieved
. LS and Remez for large Ntaps (> 1000) can fail, but can be achieved
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@@ -285,6 +287,11 @@ c) s-plane and z-plane
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@@ -285,6 +287,11 @@ c) s-plane and z-plane
= h_lp[k] * cos(k pi), for fc = fs / 2,
= h_lp[k] * cos(k pi), for fc = fs / 2,
series [1, -1]
series [1, -1]
- Nyquist filter
. A Nyquist filter has 0.5 gain, so -3 dB gain, cutoff frequency at
pi / L, or fNyquist / L, and are also known as L-th band filters.
The impulse response is zero every L-th sample.
5) Finite Impulse Response (FIR) filters
5) Finite Impulse Response (FIR) filters
- FIR filters perform time domain Convolution by summing products of shifted
- FIR filters perform time domain Convolution by summing products of shifted
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