From 1c31077ea3a5d1e10fd9f20cdf194f40073d13cc Mon Sep 17 00:00:00 2001
From: Eric Kooistra <kooistra@astron.nl>
Date: Thu, 9 Dec 2021 17:03:22 +0100
Subject: [PATCH] Prepared working with Lofar1 pfs_coeff_final.m and Apertif
run_pfir_coeff.m in lofar2/model dir.
---
.../readme_FilterTaskForce.txt | 120 +
.../model/data/Coefficient_16KKaiser.dat | 16384 ++++++++++++++++
.../model/data/Coeffs16384Kaiser-quant.dat | 16384 ++++++++++++++++
.../lofar2/model/pfir_coeff_dc_adjust.m | 124 +
applications/lofar2/model/pfs_coeff_final.m | 2 +-
.../lofar2/model/readme_lofar2_model.txt | 48 +-
applications/lofar2/model/run_pfir_coeff.m | 493 +
7 files changed, 33536 insertions(+), 19 deletions(-)
create mode 100644 applications/lofar1/FilterTaskForce/readme_FilterTaskForce.txt
create mode 100644 applications/lofar2/model/data/Coefficient_16KKaiser.dat
create mode 100644 applications/lofar2/model/data/Coeffs16384Kaiser-quant.dat
create mode 100644 applications/lofar2/model/pfir_coeff_dc_adjust.m
create mode 100644 applications/lofar2/model/run_pfir_coeff.m
diff --git a/applications/lofar1/FilterTaskForce/readme_FilterTaskForce.txt b/applications/lofar1/FilterTaskForce/readme_FilterTaskForce.txt
new file mode 100644
index 0000000000..a164813545
--- /dev/null
+++ b/applications/lofar1/FilterTaskForce/readme_FilterTaskForce.txt
@@ -0,0 +1,120 @@
+2021-12-7 Eric Kooistra (Jira L2SDP-215)
+
+Invertigation of FilterTaskForce.zip contents.
+
+1) Scope
+2) FilterTaskForce
+ a) Powerpoint presentations:
+ b) Word documents:
+ c) MATLAB files:
+ d) Coefficient files
+
+
+
+1) Scope
+
+I checked the FilterTaskForce.zip that Andre Gunst still had with documents
+and Matlab code for the Polyphase Filterbank that is used in LOFAR1.
+
+Unfortunately the documents and note are not very clear. The most useful
+things are:
+- the PFB drawings in filterbanks2.ppt
+- the filter specification in MeasurementsEffect.ppt
+
+The pfs_coeff_final.m generates the Coefficient_16KKaiser.dat, these FIR
+coefficients are almost the same as in:
+
+ git/hdl/libraries/dsp/filter/src/hex/Coeffs16384Kaiser-quant.dat
+
+that is used in LOFAR1, but unfortunately not exactly the same. Hence the
+most useful files are pfs_coeff_final.m and Coefficient_16KKaiser.dat. For
+further analysis in LOFAR2 these files are copied to:
+
+ git/hdl/applications/lofar2/model
+
+
+
+2a) FTF Powerpoint presentations:
+
+* Feb 9 2004 'Filter test bench algorithm verification.ppt' : not clear and not useful.
+* Feb 10 2004 '1KHz RFI Impact.ppt':
+
+ Plot of output power and phase over PFB bands, the phase is linear per band
+ and over all bands.
+
+* Feb 25 2004 'RFI study.ppt' : not clear and not useful.
+* Feb 27 2004 Filter_presentation.ppt : not clear and not useful.
+* May 14 2004 'Filter Task Force(final).ppt' : not clear and not useful.
+* May 14 2004 filterbanks2.ppt
+ Diagram of FIR and FFT for PFB, with L = M*N = 256 * 16 = 4096 coefficients.
+ . M polyphases and M point FFT
+ . N taps per polyhase
+
+* Jul 9 2004 FIRprototype.ppt : not clear and not useful.
+* Jul 9 2004 FIRprototype2.ppt : not clear and not useful.
+* Sep 17 2004 Filtermeeting2.ppt : not clear and not useful, except:
+
+ The filter design method fircls1 LSQ based methods gives good result for the
+ basic 2-4K design. An interpolation should be applied in order to realize
+ 4K -> 16K coefficient generation. (Add 16K coefficients within the 4K
+ coefficients). Two methods are possible:
+ - Classic: 0 padding + FIR (long if good filter quality)
+ - FFT : creation of the bandwidth in padding zeros directly in the frequency domain.
+ ==> FFT interpolation yields best results
+
+* Oct 11 2004 MeasurementsEffect.ppt: not clear and not useful, except:
+
+ Stop band: -90.5dB
+ Pass band ripple: -0.45 dB
+ -3dB -> 40dB: 23.3%
+ -3dB -> 90.5dB: 32.89%
+
+* Feb 10 2005 'Quantization results 200MHz.ppt' : not useful.
+
+
+2b) FTF Word documents:
+
+* Dec 15 2003 Memoonbasebandshift.doc
+ Idea to shift the bands per station, so that the subband aliasing decorrelates at
+ the centrals processing. Not used.
+
+* May 14 2004 'Problematic choice of the filter.doc'
+ Some knowns pros and cons of critically sampled and oversampled PFB
+
+* Nov 23 2004 MinuteFTF2806.doc : not clear and not useful.
+
+RTF documents : all not useful
+
+* Oct 27 2003 'minutes 3.rtf'
+* Jan 22 2004 'Minutes filter-22-01.rtf'
+* Feb 27 2004 minutesFTF26-02.rtf
+* Mar 10 2004 'RFI discussion.rtf'
+* Mar 22 2004 'FTF - minutes_22-03-2004.rtf'
+* Jun 28 2004 'Document Plan.rtf'
+
+Oct 7 2003 'FTFarchive/Lofar station digital filtering.doc' : Forming the Filter task force
+Nov 14 2003 FTFarchive/FIRresult14-11.doc : not useful.
+Dec 9 2003 FTFarchive/STW-09-12.doc : Tasks and persons overview
+
+Excel file : all not useful
+
+* Oct 26 2004 filter2.xls
+* Oct 26 2004 filter.xls
+
+
+2c) FTF MATLAB files:
+
+* Aug 16 2004 pfs_coeff.m : Blackman
+* Aug 19 2004 pfs_coeff2.m : Hanning
+* Oct 26 2004 pfs_coeff_final.m : Kaiser
+ - copied to: /dop466_0/kooistra/git/hdl/applications/lofar2/model/pfs_coeff_final.m
+ - generates Coefficient_16KKaiser.dat
+
+
+2d) FTF Coefficient files
+
+* Aug 19 2004 Coefficient_16K.dat
+* Oct 27 2004 Coefficient_16KKaiser.dat
+ - copied to: /dop466_0/kooistra/git/hdl/applications/lofar2/model/data/Coefficient_16KKaiser.dat
+
+
diff --git a/applications/lofar2/model/data/Coefficient_16KKaiser.dat b/applications/lofar2/model/data/Coefficient_16KKaiser.dat
new file mode 100644
index 0000000000..8e72b42a94
--- /dev/null
+++ b/applications/lofar2/model/data/Coefficient_16KKaiser.dat
@@ -0,0 +1,16384 @@
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diff --git a/applications/lofar2/model/data/Coeffs16384Kaiser-quant.dat b/applications/lofar2/model/data/Coeffs16384Kaiser-quant.dat
new file mode 100644
index 0000000000..1ac50a3c78
--- /dev/null
+++ b/applications/lofar2/model/data/Coeffs16384Kaiser-quant.dat
@@ -0,0 +1,16384 @@
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diff --git a/applications/lofar2/model/pfir_coeff_dc_adjust.m b/applications/lofar2/model/pfir_coeff_dc_adjust.m
new file mode 100644
index 0000000000..e8e9f88629
--- /dev/null
+++ b/applications/lofar2/model/pfir_coeff_dc_adjust.m
@@ -0,0 +1,124 @@
+%-----------------------------------------------------------------------------
+%
+% Copyright (C) 2018
+% ASTRON (Netherlands Institute for Radio Astronomy) <http://www.astron.nl/>
+% P.O.Box 2, 7990 AA Dwingeloo, The Netherlands
+%
+% This program is free software: you can redistribute it and/or modify
+% it under the terms of the GNU General Public License as published by
+% the Free Software Foundation, either version 3 of the License, or
+% (at your option) any later version.
+%
+% This program is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this program. If not, see <http://www.gnu.org/licenses/>.
+%
+%-----------------------------------------------------------------------------
+% Author: E. Kooistra, Apr 2018
+%
+% pfir_coeff_dc_adjust - Adjust the DC response per poly phase of an
+% existing set of PFIR coefficients
+%
+% The input coeffIn is an array of N*L integer PFIR coefficients that fit
+% in nof_bits. The number of polyphase is N and the number of taps per
+% polyphase is L. The order of the input coeffIn is first all L
+% coefficients for phase 0 then for phase 1, and last for phase N-1.
+%
+% The coeffIn values are adjusted such that each of the N polyphase FIR
+% sections with L taps each has the same DC response. This then ensures
+% that for DC input the output of all N polyphases will also be DC. The
+% FFT in a polyphase filterbank will then transform this DC to bin 0, and
+% there will be no affect on the other bins.
+%
+% The DC adjustment algorithm first determines the median of the sums
+% per polyphase. For each polyphase the L taps are then DC adjusted
+% to this dc_polyphases_median. If the DC adjustment is > L then first
+% an equal coarse adjustment is made to all L taps. The remining DC
+% adjustment is then < L and applied by adjusting the outer taps by 1.
+%
+% The DC adjusted FIR coefficients are returned via coeffNoDC. The DC
+% adjustment must not cause coefficient overflow. The nof_bits
+% defines the maximum integer coefficient range. If the coeffNoDC does
+% not fit, than the function reduces the input coeffIn by a factor
+% and then recalculates coeffNoDC, until the coefficients all fit within
+% nof_bits.
+%
+% The run_pfir_coeff.m shows how this pfir_coeff_adjust.m can be used.
+function coeffNoDC = pfir_coeff_dc_adjust(coeffIn, N, L, nof_bits)
+
+iteration = 0;
+while true
+ iteration = iteration + 1;
+ % Automatically equalize the DC response of the polyphases to have flat DC level at FFT input
+ % Reshape the coefficients in N polyphases with L taps each.
+ q_coeff = reshape(coeffIn, N, L).';
+ % The DC response is the sum of the FIR coefficients per polyphase.
+ dc_polyphases = sum(q_coeff);
+ % The median will be used as aim for the dc adjustment, because most polyphases are already
+ % close to the median. For larger N the first and last polyphases deviate the most.
+ dc_polyphases_median = median(dc_polyphases);
+ % DC adjust each polyphase to the DC median
+ for I = 1:N
+ polyphase = q_coeff(:,I);
+ dc_polyphase = sum(polyphase);
+ dc_adjust = dc_polyphase - dc_polyphases_median;
+ % First equally adjust all L coefficients by an equal amount of
+ % dc_offset >= 0
+ dc_offset = floor(abs(dc_adjust)/L);
+ % Then adjust the dc_remainder < L, over dc_adjust number of
+ % coefficients from the outer to the inner taps of the polyphase
+ % by 1
+ dc_remainder = abs(dc_adjust) - L*dc_offset;
+ % Treat dc_adjust < 0, > 0 separately, nothing to do when dc_adjust = 0
+ if dc_adjust > 0
+ polyphase = polyphase - dc_offset;
+ if dc_remainder > 0
+ for J = 1:dc_remainder
+ if mod(J,2)==0
+ polyphase(J) = polyphase(J) - 1;
+ else
+ polyphase(L+1-J) = polyphase(L+1-J) - 1;
+ end
+ end
+ end
+ end
+ if dc_adjust < 0
+ polyphase = polyphase + dc_offset;
+ if dc_remainder > 0
+ for J = 1:dc_remainder
+ if mod(J,2)==0
+ polyphase(J) = polyphase(J) + 1;
+ else
+ polyphase(L+1-J) = polyphase(L+1-J) + 1;
+ end
+ end
+ end
+ end
+ dc_polyphase = sum(polyphase);
+ dc_adjusted = dc_polyphase - dc_polyphases_median;
+ if dc_adjusted ~= 0
+ % Return with Error messages when dc_adjusted for a polyphase is not 0
+ disp(sprintf('Error polyphase %4d : dc_adjust = %4d, dc_offset= %4d, dc_remainder = %4d, dc_adjusted = %4d must be 0', I, dc_adjust, dc_offset, dc_remainder, dc_adjusted));
+ return
+ end
+ q_coeff(:,I) = polyphase;
+ end
+ coeffNoDC = reshape(q_coeff.', 1, N*L);
+
+ % Check whether the q_coeff are still in range q_min : q_max
+ q_full_scale = 2^(nof_bits-1);
+ q_max = q_full_scale-1;
+ q_no_dc_max = max(coeffNoDC);
+ if q_no_dc_max > q_max
+ coeffIn = round(coeffIn * q_max / q_no_dc_max); % Scale coeff with more positive margin to fit DC adjustment
+ else
+ break; % Finished DC adjustment of the coefficients
+ end
+end
+disp(sprintf('DC adjusted in %d iteration(s)', iteration));
+
+end
diff --git a/applications/lofar2/model/pfs_coeff_final.m b/applications/lofar2/model/pfs_coeff_final.m
index 048ecefb8c..7cc4798a14 100644
--- a/applications/lofar2/model/pfs_coeff_final.m
+++ b/applications/lofar2/model/pfs_coeff_final.m
@@ -87,7 +87,7 @@ coeffs_quant = double(uencode(c3,16,max(c3),'signed'));
% c3=q*round(c3/q);
% c3=c3*max(c2)/max(c3);
-fid = fopen('Coefficient_16KKaiser.dat','w');
+fid = fopen('data/Coefficient_16KKaiser.dat','w');
fprintf(fid,'%i\n', coeffs_quant);
fclose(fid);
fprintf('\n\nWARNING !\n')
diff --git a/applications/lofar2/model/readme_lofar2_model.txt b/applications/lofar2/model/readme_lofar2_model.txt
index 6b77d4f70b..3dfaed1b1e 100644
--- a/applications/lofar2/model/readme_lofar2_model.txt
+++ b/applications/lofar2/model/readme_lofar2_model.txt
@@ -2,32 +2,44 @@ This directory contains scripts and documents for modelling DSP aspects of LOFAR
References:
-[1] = found by Andre Gunst from LOFAR1
-[2] = https://svn.astron.nl/UniBoard_FP7/RadioHDL/trunk/applications/apertif/matlab/apertif_matlab_readme.txt
-[3] = https://support.astron.nl/jira/browse/L2SDP-212
-[4] = https://git.astron.nl/desp/hdl/-/blob/master/libraries/dsp/verify_pfb/tb_tb_verify_pfb_wg.vhd
+[1] https://git.astron.nl/desp/hdl/-/blob/master/applications/lofar1/FilterTaskForce.zip
+ found by Andre Gunst from LOFAR1,for overview see readme_FilterTaskForce.txt
+[2] from Andre Gunst
+[3] https://git.astron.nl/desp/hdl/-/blob/master/apertif_matlab/README.md
+[4] https://git.astron.nl/desp/hdl/-/blob/master/libraries/dsp/verify_pfb/tb_tb_verify_pfb_wg.vhd
-1) Original LOFAR1 scripts
+1) Original LOFAR1 scripts from FilterTaskForce.zip [1]
-- git/hdl/libraries/dsp/filter/src/hex/Coeffs16384Kaiser-quant.dat : Original PFIR filter coefficients from LOFAR 1.0 subband filterbank
- (16 tap, 1024 point FFT), the script that created these PFIR
- coefficients is not available anymore (For Apertif Erko looked in old
- repositories back to 2005 of Lofar software and Station firmware
- but could not find it.)
+- git/hdl/libraries/dsp/filter/src/hex/Coeffs16384Kaiser-quant.dat :
+ Original PFIR filter coefficients from LOFAR 1.0 subband filterbank
+ (16 tap, 1024 point FFT), the script that created these PFIR
+ coefficients is not available anymore (For Apertif Erko looked in old
+ repositories back to 2005 of Lofar software and Station firmware
+ but could not find it.)
-- pfs_coeff_final.m [1] : creates Coefficient_16KKaiser.dat, but using e.g. meld shows that these do differ slightly from
- Coeffs16384Kaiser-quant.dat that are actually used in LOFAR1.
+- pfs_coeff_final.m [1]
+ creates Coefficient_16KKaiser.dat, but using e.g. meld shows that
+ these do differ slightly within +-40 from
+ Coeffs16384Kaiser-quant.dat that are actually used in LOFAR1.
2) Original LOFAR1 documents
-- lowbitfir.pdf, 2001 [1] : Simulation Results of Low Bit FIR Filters for ALMA
-- quanreq.pdf, 2002 [1] : Modeling the Effects of Re-quantization for ALMA-FC: Cascading of Degradation Factors
-
-
-3) LOFAR2.0
+- filterbanks2.ppt [1] : With diagrams of PFB structure
+- lowbitfir.pdf, 2001 [2] : Simulation Results of Low Bit FIR Filters for ALMA
+- quanreq.pdf, 2002 [2] : Modeling the Effects of Re-quantization for
+ ALMA-FC: Cascading of Degradation Factors
+
+3) Copied from APERTIF [3]
+
+APERTIF uses the same PFB FIR coefficients as LOFAR1.
+
+ pfir_coeff_dc_adjust.m Function Apply DC adjustment to polyphase filterbank coefficients
+ run_pfir_coeff.m Script Run pfir_coeff_adjust.m and pfir_coeff.m to show filter response in
+ time and frequency domain, and optionally calls pfir_coeff_dc_adjust.m
+
+4) LOFAR2.0
-- Jira story L2SDP-212 [3] : Investigate SDP firmware quantization
- tb_tb_verify_pfb_wg.vhd, 2021 [4] : VHDL simulation of LOFAR1 PFB2 and APERTIF WPFB for LOFAR2.0
diff --git a/applications/lofar2/model/run_pfir_coeff.m b/applications/lofar2/model/run_pfir_coeff.m
new file mode 100644
index 0000000000..5c77cd51d8
--- /dev/null
+++ b/applications/lofar2/model/run_pfir_coeff.m
@@ -0,0 +1,493 @@
+%-----------------------------------------------------------------------------
+%
+% Copyright (C) 2016
+% ASTRON (Netherlands Institute for Radio Astronomy) <http://www.astron.nl/>
+% P.O.Box 2, 7990 AA Dwingeloo, The Netherlands
+%
+% This program is free software: you can redistribute it and/or modify
+% it under the terms of the GNU General Public License as published by
+% the Free Software Foundation, either version 3 of the License, or
+% (at your option) any later version.
+%
+% This program is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this program. If not, see <http://www.gnu.org/licenses/>.
+%
+%-----------------------------------------------------------------------------
+% Author: E. Kooistra, 2016
+%
+% Purpose : Run pfir_coeff
+% Description :
+% Plot FIR filter coefficients and transfer function for different
+% applications:
+% . 'lofar_subband';
+% . 'apertif_subband';
+% . 'apertif_channel';
+% . 'arts_channel';
+% . 'bypass_channel';
+% . 'bypass_subband';
+% . 'incrementing_channel';
+%
+% - For reference the design can also plot the LOFAR station subband
+% FIR coefficients from file.
+% - The design can use fir1 or fircls1 to calculate the FIR filter
+% coefficients. The fir1 has a flat passband, but the fircls1
+% achieves a steeper pass-stop transition and in the combination a
+% more flat gain response between channels. Therefore fircls1 is
+% preferred when r_pass = 0.0001 and for r_pass = 0.001 it is better
+% to choose fir1.
+% - The half power channel bandwidth of BWchan can be set via
+% config.hp_factor. Default config.hp_factor = 1 and then the channel
+% bandwidth is equal to the channel rate, so Wchan = fchan.
+% The config.hp_factor to have flat power gain between channels is
+% determined automatically when config.hp_adjust = true.
+% - Default the DC response of the FIR filter per polyphase section of
+% L taps will not be the same for all N polyphase sections. Especially
+% for large N > 64 the outer polyphase sections will deviate
+% significantly compared to the polyphase sections in the middle.
+% When config.dc_adjust = true then the DC response of all polyphase
+% sections will be made equal.
+% - For fircls1 the passband ripple and stopband ripple can be specified.
+% For fir1 the passband is flat and the stopband attenuation increases
+% more and more for more distant frequencies. The fir1 can achieve
+% suffcient r_stop at the next channel. The passband and stopband
+% characteristics are only ideal when coeff_w=0 (doubles). The stopband
+% attenuation r_stop ~= coeff_w * -6 dB. The passband ripple also
+% depends on coeff_w r_pass ~= 1 + 0.5/2^coeff_w.
+%
+% See pfir_coeff_adjust.m for more information.
+%
+% FIR file management:
+% Use svn status -q data/ to see whether rerun of this script recreates
+% the same FIR file as stored in SVN data/
+%
+% Run diff compare scripts to verify saved FIR files with stored FIR
+% files:
+% >. $RADIOHDL/libraries/dsp/filter/src/python/diff_lofar_coefs
+% >. $RADIOHDL/libraries/dsp/filter/src/python/diff_pfir_coefs
+%
+% Run recreate scripts to (re)create FIR stored mif files from dat files:
+% >. $RADIOHDL/libraries/dsp/filter/src/python/recreate_4wb_mifs
+% >. $RADIOHDL/libraries/dsp/filter/src/python/recreate_pfir_mifs
+
+clear all;
+close all;
+fig=0;
+
+%% Select application
+application = 'lofar_subband'; % load LOFAR subband filterbank coefficients from file
+%application = 'apertif_subband'; % calculate Apertif subband filterbank coefficients using fir1 or fircls1
+%application = 'apertif_channel'; % calculate Apertif channel filterbank coefficients using fir1 or fircls1
+%application = 'arts_channel'; % calculate Arts channel filterbank coefficients using fir1 or fircls1
+%application = 'bypass_channel'; % create bypass pfir channel coefficients with 1 in first tap and 0 in remaining taps
+%application = 'bypass_subband'; % create bypass pfir subband coefficients with 1 in first tap and 0 in remaining taps
+%application = 'incrementing_channel'; % create incrementing pfir channel coefficients 1:L*N for PFIR implementation verification purposes
+
+
+%% - Application specific settings
+% Default settings (will get overruled dependend on application)
+config.hp_factor = 1;
+config.hp_adjust = false;
+config.dc_adjust = false;
+config.design = 'none';
+if strcmp(application, 'bypass_channel')
+ N = 64;
+ L = 8;
+ coeff_w = 9; % default to coeff RAM data width for channel
+ q_full_scale = 2^(coeff_w-1);
+ q_max = q_full_scale-1;
+ coeff = q_max*[ones(N,1); zeros((L-1)*N,1)]; % row
+ config.design = 'bypass';
+ BWchan = config.hp_factor/N;
+elseif strcmp(application, 'bypass_subband')
+ N = 1024;
+ L = 16;
+ coeff_w = 16; % default to coeff RAM data width for subband
+ q_full_scale = 2^(coeff_w-1);
+ q_max = q_full_scale-1;
+ coeff = q_max*[ones(N,1); zeros((L-1)*N,1)]; % row
+ config.design = 'bypass';
+ BWchan = config.hp_factor/N;
+elseif strcmp(application, 'incrementing_channel')
+ N = 64;
+ L = 8;
+ coeff_w = 9; % default to coeff RAM data width for channel
+ q_full_scale = 2^(coeff_w-1);
+ coeff = [1:L*N]'; % row
+ %coeff = coeff / q_full_scale; % or use coeff = coeff / (max(coeff)+1);
+ config.design = 'incrementing';
+ BWchan = config.hp_factor/N;
+elseif strcmp(application, 'lofar_subband')
+ % Load the quantized FIR coefficients of the subband filterbank in a LOFAR station
+ N = 1024;
+ L = 16;
+ coeff_w = 16;
+ q_full_scale = 2^(coeff_w-1);
+ coeffLoad = load('data/Coefficient_16KKaiser.dat'); % column
+ %coeffLoad = load('data/Coeffs16384Kaiser-quant.dat'); % column
+ coeffLoad = coeffLoad'; % row with integer coefficients from file
+ config.dc_adjust = false;
+ if config.dc_adjust==false
+ coeff = coeffLoad;
+ else
+ coeff = pfir_coeff_dc_adjust(coeffLoad, N, L, coeff_w);
+ end
+ coeffNoDC = coeff; % keep DC adjusted integer coefficients
+ coeff = coeff / q_full_scale;
+ config.design = 'lofar_subband';
+ BWchan = config.hp_factor/N;
+else
+ if strcmp(application, 'apertif_subband')
+ N = 1024; % N = nof channels for complex input and N = 2 * nof subbands for real input data
+ L = 16; % Number of taps
+ coeff_w = 16; % bits/coefficient = 1 sign + (coeff_w-1) mantissa, 0 for floating point
+ config.hp_adjust = false;
+ config.dc_adjust = true;
+ config.design = 'fircls1'; % FIR filter design method ('fircls1' or 'fir1')
+ elseif strcmp(application, 'apertif_channel')
+ N = 64; % N = nof channels for complex input and N = 2 * nof subbands for real input data
+ L = 8; % Number of taps, even 4 could be sufficient (erko)
+ coeff_w = 9; % bits/coefficient = 1 sign + (coeff_w-1) mantissa, 0 for floating point
+ config.hp_adjust = true;
+ config.dc_adjust = true;
+ config.design = 'fircls1'; % FIR filter design method ('fircls1' or 'fir1')
+ elseif strcmp(application, 'arts_channel')
+ N = 32; % Arts required is N=4, use more to reduce the relative number of channels that get aliased dur to critically sampled subband filterbank
+ L = 8;
+ coeff_w = 9;
+ config.hp_adjust = true;
+ config.dc_adjust = true;
+ config.design = 'fircls1'; % FIR filter design method ('fircls1' or 'fir1')
+ end
+
+ % Enable or disable adjustment of the PFIR coefficients. Uncomment to
+ % overrule application default for test purposes:
+ %config.hp_adjust = true;
+ %config.hp_adjust = false;
+
+ %config.dc_adjust = true;
+ %config.dc_adjust = false;
+
+ % Select FIR filter design method (fircls1 yields better results than
+ % fir1 regarding stop band suppression). Uncomment to overrule
+ % application default for test purposes:
+ %config.design = 'fircls1';
+ %config.design = 'fir1';
+
+ if strcmp(config.design, 'fir1')
+ r_pass = 0; % not used for fir1
+ r_stop = 0; % not used for fir1
+ else % fircls1
+ % Pass and stop band deviation for fircls1
+ r_pass = 1e-4; % choose 0.0001 to have more flat reponse between channels
+ % for 0.001 it is better to choose fir1
+ r_stop = 1e-4; % choose 0.0001 to avoid artefact at ends of impulse response
+ % that occur for 0.001
+
+ % Config parameters that are specific for fircls1
+ %config.design_flag = 'trace';
+ config.design_flag = '';
+ %config.interpolate = 'resample';
+ %config.interpolate = 'fourier';
+ config.interpolate = 'interpft';
+ end
+
+ % Calculate the FIR coefficients with optional FIR filter bandwidth adjustment
+ BWchan = config.hp_factor/N;
+ coeff_q_max = 2^(coeff_w-1)-1;
+ coeff = pfir_coeff_adjust(N, L, BWchan, r_pass, r_stop, coeff_w, config, coeff_q_max);
+end
+NL = N*L; % Total number of FIR filter coefficients (taps)
+
+% Try effect of wrong wideband factor P order of the FIR coefficients.
+% It is noticable in the FIR transfer function as about factor 2 in dB
+% less attenuation outside the passband for bins that are multiples of
+% about N/P. For P = 4 the attenuation spikes occur at:
+% . bin 255.6
+% . bin 256.4
+% . bin 511.6
+% In a time domain simulation a CW at those bins will then also show in
+% the DC bin.
+fir_wb_reverse = true;
+fir_wb_reverse = false; % default
+if fir_wb_reverse
+ P = 4;
+ coeff = reshape(coeff, P, NL/P);
+ coeff = flipud(coeff);
+ coeff = reshape(coeff, 1, NL);
+end
+
+% FIR filter analysis
+ZP = 1;
+ZP = 16; % use zero padding factor ZP >> 1 to increase frequency resolution of hf_abs
+coeff_zero_padded = [coeff / sum(coeff), zeros(1, (ZP-1)*NL)];
+hf_abs = abs(fftshift(fft(coeff_zero_padded, NL*ZP)));
+
+pp = 1:N; % polyphases index
+hi = 1:NL; % coefficients index
+hx = hi / N; % coefficients axis in tap units
+
+fi = 1:NL*ZP; % frequency index
+fx = (fi - NL*ZP/2-1) / L; % frequency axis in channel units after fft_shift()
+
+fi_0 = NL*ZP/2+1; % frequency index of center of channel so fx = 0
+fi_n = fi_0 - round(L*ZP/2); % frequency index of -f_chan/2
+fi_p = fi_0 + round(L*ZP/2); % frequency index of +f_chan/2
+
+hf_abs_0 = db(hf_abs(fi_0)); % power gain at center of channel
+hf_abs_n = db(hf_abs(fi_n)); % power gain at -f_chan/2
+hf_abs_p = db(hf_abs(fi_p)); % power gain at +f_chan/2
+
+% Find half power frequency edges of the passband
+hpower_margin = 1/ZP; % start with some margin,
+hpower_range = 4; % find pair of frequencies at lower edge and pair of frequencies at higher edge
+hf_abs_power = hf_abs.^2;
+
+while true
+ hpower_indices = find(hf_abs_power>0.5-hpower_margin & hf_abs_power<0.5+hpower_margin);
+ hpower_len = length(hpower_indices);
+ if hpower_len>hpower_range
+ hpower_margin = hpower_margin / hpower_range;
+ elseif hpower_len<hpower_range
+ hpower_margin = hpower_margin * 1.1;
+ else
+ break;
+ end
+ %hpower_margin, hpower_len
+end
+if length(hpower_indices)==hpower_range
+ % Linear interpolate for the lower pair and for the higher pair of frequencies
+ hf_pair_lo = hf_abs_power(hpower_indices([1, 2]));
+ hf_pair_hi = hf_abs_power(hpower_indices([3, 4]));
+ fx_pair_lo = [fx(hpower_indices(1))/ZP, fx(hpower_indices(2))/ZP];
+ fx_pair_hi = [fx(hpower_indices(3))/ZP, fx(hpower_indices(4))/ZP];
+ % y = a * x + b
+ a_lo = (hf_pair_lo(2) - hf_pair_lo(1))/(fx_pair_lo(2) - fx_pair_lo(1)); % a = delta y / delta x
+ b_lo = hf_pair_lo(1) - a_lo*fx_pair_lo(1); % b = y - a * x
+ fx_lo = (0.5 - b_lo) / a_lo; % x = (y - b) / a
+ a_hi = (hf_pair_hi(2) - hf_pair_hi(1))/(fx_pair_hi(2) - fx_pair_hi(1)); % a = delta y / delta x
+ b_hi = hf_pair_hi(1) - a_hi*fx_pair_hi(1); % b = y - a * x
+ fx_hi = (0.5 - b_hi) / a_hi; % x = (y - b) / a
+ hpower_bandwidth = (fx_hi - fx_lo);
+else
+ disp(sprintf('Error could not find half power bandwidth'));
+end
+
+
+%% Print FIR-filter parameters
+disp(sprintf([ ...
+ 'Filter design : %s\n', ...
+ 'Number of polyphases (FFT size) : N = %d\n', ...
+ 'Number of FIR taps : L = %d\n', ...
+ 'Number of FIR coefficients : N*L = %d\n', ...
+ 'Channel half power factor : hp_factor = %8.6f\n', ...
+ 'Channel bandwidth : BWchan*N = %8.6f [f_chan]\n' , ...
+ 'Zero padding factor : ZP = %d\n', ...
+ 'Channel half power bandwidth : hpower_bandwidth = %5.3f [f_chan]\n', ...
+ 'Channel power gain at center : hf_abs_0 = %8.5f [dB]\n', ...
+ 'Channel power gain at -f_chan/2 : hf_abs_n = %8.5f [dB]\n', ...
+ 'Channel power gain at +f_chan/2 : hf_abs_p = %8.5f [dB]\n', ...
+ 'For reference 10*log10(0.25) : quarter power, so 0.5000 amplitude = %8.4f [dB]\n', ...
+ 'For reference 10*log10(0.5) : half power, so 0.7071 amplitude = %8.4f [dB]\n'] , ...
+ config.design, N, L, NL, config.hp_factor, BWchan*N, ZP, hpower_bandwidth, hf_abs_0, hf_abs_n, hf_abs_p, db(sqrt(0.25)), db(sqrt(0.5))));
+if strcmp(config.design, 'fircls1')
+ disp(sprintf([ ...
+ 'Pass band deviation : r_pass = %9.7f = %10.6f dB ripple\n' , ...
+ 'Stop band deviation : r_stop = %9.7f = %10.6f dB attenuation\n'] , ...
+ r_pass, 20*log10(1+r_pass), r_stop, 20*log10(r_stop)));
+end
+
+
+%% Create common file_name_prefix
+file_name_prefix = 'run_pfir_coeff_m_';
+if config.hp_adjust
+ file_name_prefix = [file_name_prefix, 'flat_hp_'];
+end
+if config.dc_adjust
+ file_name_prefix = [file_name_prefix, 'no_dc_'];
+end
+file_name_prefix = [file_name_prefix, config.design];
+file_name_prefix = sprintf([file_name_prefix, '_%dtaps_%dpoints_%db'], L, N, coeff_w)
+
+%% Save quantized integer FIR filter coefficients
+% N.B. - read '.txt'-file with 'wordpad' or use \r\n
+if coeff_w>0
+ if strcmp(config.design, 'bypass')
+ int_coeff = coeff;
+ elseif strcmp(config.design, 'incrementing')
+ int_coeff = coeff;
+ else
+ q_full_scale = 2^(coeff_w-1);
+ q_max = q_full_scale-1;
+ int_coeff = round(q_full_scale * coeff); % int_coeff - q_full_scale * coeff, should all be 0, because the quantization was done based on q_full_scale
+ coeff_dc_gain = sum(coeff) / N;
+ disp(sprintf([ ...
+ 'Max normalized quantized coeff = %12.10f (<= 1)\n' , ...
+ 'Max scaled quantized coeff = %12.6f (<= %d, q_margin = %d)\n', ...
+ 'DC gain per polyphase = %f\n'] , ...
+ max(coeff), max(int_coeff), q_max, q_max-max(int_coeff), coeff_dc_gain));
+ end
+ file_name = ['data/', file_name_prefix, '.dat'];
+ fid = fopen(file_name , 'w');
+ fprintf(fid ,'%d\n', int_coeff);
+ fclose(fid);
+
+ if strcmp(application, 'lofar_subband')
+ if config.dc_adjust==false
+ % diff Coeffs16384Kaiser-quant.dat
+ % Coeffs16384Kaiser-quant-withdc.dat --> are identical
+ fid = fopen('data/Coeffs16384Kaiser-quant-withdc.dat', 'w');
+ fprintf(fid ,'%d\n', int_coeff);
+ fclose(fid);
+ else
+ % diff
+ % run_pfir_coeff_m_no_dc_lofar_subband_16taps_1024points_16b.dat
+ % Coeffs16384Kaiser-quant-nodc.dat --> are identical
+ fid = fopen('data/Coeffs16384Kaiser-quant-nodc.dat', 'w');
+ fprintf(fid ,'%d\n', int_coeff);
+ fclose(fid);
+ end
+ end
+end
+
+
+%% Plot FIR-filter coefficients
+strNL = [' (', num2str(N), '-points, ', num2str(L), '-taps', ')'];
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+if coeff_w == 0
+ plot(hx, coeff);
+ title(['FIR filter coefficients for ', config.design, ' (floating point)', strNL]);
+else
+ plot(hx, int_coeff);
+ title(['FIR filter coefficients for ', config.design, ' (', num2str(coeff_w), ' bits)', strNL]);
+end
+grid on;
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+if coeff_w == 0
+ mesh(reshape(coeff, N, L));
+else
+ mesh(reshape(int_coeff, N, L));
+end
+title(['FIR filter coefficients for ', config.design, strNL]);
+xlabel(['Taps 1:', num2str(L)]);
+ylabel(['Channels 1:', num2str(N)]);
+
+%% Plot FIR-filter DC response per polyphase
+if coeff_w>0
+ dc_polyphases = sum(reshape(int_coeff, N, L).');
+ dc_polyphases_mean = mean(dc_polyphases);
+ dc_polyphases_median = median(dc_polyphases);
+ dc_polyphases_min = min(dc_polyphases);
+ dc_polyphases_max = max(dc_polyphases);
+ disp(sprintf(['dc_polyphases_max : %d\n', ...
+ 'dc_polyphases_mean : %f\n', ...
+ 'dc_polyphases_median : %f\n', ...
+ 'dc_polyphases_min : %d\n', ...
+ 'dc_polyphases_span : %d\n'], ...
+ dc_polyphases_max, dc_polyphases_mean, dc_polyphases_median, dc_polyphases_min, dc_polyphases_max-dc_polyphases_min))
+ strNL = [' (', num2str(N), '-points, ', num2str(L), '-taps', ')'];
+ fig=fig+1;
+ figure('position', [300+fig*20 200-fig*20 1000 800]);
+ figure(fig);
+ plot(pp, dc_polyphases - dc_polyphases_median);
+ title(['FIR filter DC response per polyphase coefficients for ', config.design, ' (', num2str(coeff_w), ' bits)', strNL]);
+ xlabel(['Polyphase 1:', num2str(N)]);
+ ylabel(['Sum of taps (with median at zero is ', num2str(dc_polyphases_median), ')']);
+ grid on;
+end
+
+% Plot DC adjustment for LOFAR subband FIR-filter coefficients
+if strcmp(application, 'lofar_subband') && config.dc_adjust==true
+ strNL = [' (', num2str(N), '-points, ', num2str(L), '-taps', ')'];
+ fig=fig+1;
+ figure('position', [300+fig*20 200-fig*20 1000 800]);
+ figure(fig);
+ plot(hi, coeffNoDC - coeffLoad);
+ title(['FIR filter coefficient DC adjustments for ', config.design, strNL]);
+ xlabel(['Coefficients']);
+ ylabel(['Adjustment']);
+ grid on;
+end
+
+% Plot FIR-filter amplitude characteristic using fft()
+% . full plot in [dB]
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+plot(fx/ZP, db(hf_abs)); % db() = 20*log10 for voltage
+xlo = fx(1)/ZP;
+xhi = fx(NL*ZP)/ZP;
+xlim([xlo xhi]);
+ylo = -120;
+yhi = 10;
+ylim([ylo yhi]);
+grid on;
+title(['Full FIR filter transfer function for ', config.design, strNL]);
+xlabel('Frequency [channels]');
+ylabel('Power [dB]');
+file_name = ['plots/', file_name_prefix, '_fir_transfer_function.jpg'];
+
+% . zoomed plot in power
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+plot(fx/ZP, hf_abs_power);
+xlo = -0.7;
+xhi = 0.7;
+xlim([xlo xhi]);
+grid on;
+title(['Zoomed FIR filter transfer function for ', config.design, strNL]);
+xlabel('Frequency [channels]');
+ylabel('Power');
+file_name = ['plots/', file_name_prefix, '_fir_transfer_function.jpg'];
+print(file_name, '-djpeg')
+
+% Plot FIR-filter amplitude and phase characteristic using freqz()
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+Nres = N * 128;
+freqz(coeff, 1, Nres); % draws 2 subplots, one for magnitude and one for phase
+subplot(2,1,1);
+xlim([0 3/N])
+title(['FIR filter transfer function for ', config.design, strNL]);
+subplot(2,1,2);
+xlim([0 3/N])
+
+
+% Plot FIR-filter response between channels
+fig=fig+1;
+figure('position', [300+fig*20 200-fig*20 1000 800]);
+figure(fig);
+subplot(2,1,1)
+hf_abs1 = circshift(hf_abs, L*ZP, 2); % shift to next channel (in dimension 2 because hf_abs is a row vector)
+plot(fx/ZP, db(hf_abs), 'k', fx/ZP, db(hf_abs1), 'r'); % db() = 20 * log10 for voltage
+xlo = -1;
+xhi = 2;
+xlim([xlo xhi]);
+grid on;
+title(['FIR filter transfer function between channels for ', config.design, strNL]);
+xlabel('Frequency [channels]');
+ylabel('Power [dB]');
+
+subplot(2,1,2)
+plot(fx/ZP, hf_abs.^2, 'r.', ...
+ fx/ZP, hf_abs1.^2, 'b.', ...
+ fx/ZP, hf_abs.^2 + hf_abs1.^2, 'k');
+xlo = -1;
+xhi = 2;
+xlim([xlo xhi]);
+%ylim([0.8 1.2]);
+grid on;
+title(['FIR filter sum of power responses between channels for ', config.design, strNL]);
+xlabel('Frequency [channels]');
+ylabel('Power');
+
--
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