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+/* -*- c++ -*- */
+/*
+ * Copyright 2010-2012 Free Software Foundation, Inc.
+ *
+ * This file is part of GNU Radio
+ *
+ * GNU Radio 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, or (at your option)
+ * any later version.
+ *
+ * GNU Radio 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 GNU Radio; see the file COPYING. If not, write to
+ * the Free Software Foundation, Inc., 51 Franklin Street,
+ * Boston, MA 02110-1301, USA.
+ */
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include <gr_io_signature.h>
+#include <digital/constellation.h>
+#include <gr_math.h>
+#include <gr_complex.h>
+#include <math.h>
+#include <iostream>
+#include <stdlib.h>
+#include <float.h>
+#include <stdexcept>
+
+namespace gr {
+ namespace digital {
+
+#define M_TWOPI (2*M_PI)
+#define SQRT_TWO 0.707107
+
+ // Base Constellation Class
+ constellation::constellation(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int dimensionality) :
+ d_constellation(constell),
+ d_pre_diff_code(pre_diff_code),
+ d_rotational_symmetry(rotational_symmetry),
+ d_dimensionality(dimensionality)
+ {
+ // Scale constellation points so that average magnitude is 1.
+ float summed_mag = 0;
+ unsigned int constsize = d_constellation.size();
+ for (unsigned int i=0; i<constsize; i++) {
+ gr_complex c = d_constellation[i];
+ summed_mag += sqrt(c.real()*c.real() + c.imag()*c.imag());
+ }
+ d_scalefactor = constsize/summed_mag;
+ for (unsigned int i=0; i<constsize; i++) {
+ d_constellation[i] = d_constellation[i]*d_scalefactor;
+ }
+ if(pre_diff_code.size() == 0)
+ d_apply_pre_diff_code = false;
+ else if(pre_diff_code.size() != constsize)
+ throw std::runtime_error("The constellation and pre-diff code must be of the same length.");
+ else
+ d_apply_pre_diff_code = true;
+ calc_arity();
+ }
+
+ constellation::constellation() :
+ d_apply_pre_diff_code(false),
+ d_rotational_symmetry(0),
+ d_dimensionality(1)
+ {
+ calc_arity();
+ }
+
+ constellation::~constellation()
+ {
+ }
+
+ //! Returns the constellation points for a symbol value
+ void
+ constellation::map_to_points(unsigned int value, gr_complex *points)
+ {
+ for(unsigned int i=0; i<d_dimensionality; i++)
+ points[i] = d_constellation[value*d_dimensionality + i];
+ }
+
+ std::vector<gr_complex>
+ constellation::map_to_points_v(unsigned int value)
+ {
+ std::vector<gr_complex> points_v;
+ points_v.resize(d_dimensionality);
+ map_to_points(value, &(points_v[0]));
+ return points_v;
+ }
+
+ float
+ constellation::get_distance(unsigned int index, const gr_complex *sample)
+ {
+ float dist = 0;
+ for(unsigned int i=0; i<d_dimensionality; i++) {
+ dist += norm(sample[i] - d_constellation[index*d_dimensionality + i]);
+ }
+ return dist;
+ }
+
+ unsigned int
+ constellation::get_closest_point(const gr_complex *sample)
+ {
+ unsigned int min_index = 0;
+ float min_euclid_dist;
+ float euclid_dist;
+
+ min_euclid_dist = get_distance(0, sample);
+ min_index = 0;
+ for(unsigned int j = 1; j < d_arity; j++){
+ euclid_dist = get_distance(j, sample);
+ if(euclid_dist < min_euclid_dist){
+ min_euclid_dist = euclid_dist;
+ min_index = j;
+ }
+ }
+ return min_index;
+ }
+
+ unsigned int
+ constellation::decision_maker_pe(const gr_complex *sample, float *phase_error)
+ {
+ unsigned int index = decision_maker(sample);
+ *phase_error = 0;
+ for(unsigned int d=0; d<d_dimensionality; d++)
+ *phase_error += -arg(sample[d]*conj(d_constellation[index+d]));
+ return index;
+ }
+
+ /*
+ unsigned int constellation::decision_maker_e(const gr_complex *sample, float *error)
+ {
+ unsigned int index = decision_maker(sample);
+ *error = 0;
+ for(unsigned int d=0; d<d_dimensionality; d++)
+ *error += sample[d]*conj(d_constellation[index+d]);
+ return index;
+ }
+ */
+
+ std::vector<gr_complex> constellation::s_points()
+ {
+ if(d_dimensionality != 1)
+ throw std::runtime_error("s_points only works for dimensionality 1 constellations.");
+ else
+ return d_constellation;
+ }
+
+ std::vector<std::vector<gr_complex> >
+ constellation::v_points()
+ {
+ std::vector<std::vector<gr_complex> > vv_const;
+ vv_const.resize(d_arity);
+ for(unsigned int p=0; p<d_arity; p++) {
+ std::vector<gr_complex> v_const;
+ v_const.resize(d_dimensionality);
+ for(unsigned int d=0; d<d_dimensionality; d++) {
+ v_const[d] = d_constellation[p*d_dimensionality+d];
+ }
+ vv_const[p] = v_const;
+ }
+ return vv_const;
+ }
+
+ void
+ constellation::calc_metric(const gr_complex *sample, float *metric,
+ trellis_metric_type_t type)
+ {
+ switch(type){
+ case TRELLIS_EUCLIDEAN:
+ calc_euclidean_metric(sample, metric);
+ break;
+ case TRELLIS_HARD_SYMBOL:
+ calc_hard_symbol_metric(sample, metric);
+ break;
+ case TRELLIS_HARD_BIT:
+ throw std::runtime_error("Invalid metric type (not yet implemented).");
+ break;
+ default:
+ throw std::runtime_error("Invalid metric type.");
+ }
+ }
+
+ void
+ constellation::calc_euclidean_metric(const gr_complex *sample, float *metric)
+ {
+ for(unsigned int o=0; o<d_arity; o++) {
+ metric[o] = get_distance(o, sample);
+ }
+ }
+
+ void
+ constellation::calc_hard_symbol_metric(const gr_complex *sample, float *metric)
+ {
+ float minm = FLT_MAX;
+ unsigned int minmi = 0;
+ for(unsigned int o=0; o<d_arity; o++) {
+ float dist = get_distance(o, sample);
+ if(dist < minm) {
+ minm = dist;
+ minmi = o;
+ }
+ }
+ for(unsigned int o=0; o<d_arity; o++) {
+ metric[o] = (o==minmi?0.0:1.0);
+ }
+ }
+
+ void
+ constellation::calc_arity()
+ {
+ if(d_constellation.size() % d_dimensionality != 0)
+ throw std::runtime_error("Constellation vector size must be a multiple of the dimensionality.");
+ d_arity = d_constellation.size()/d_dimensionality;
+ }
+
+ unsigned int
+ constellation::decision_maker_v(std::vector<gr_complex> sample)
+ {
+ assert(sample.size() == d_dimensionality);
+ return decision_maker(&(sample[0]));
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_calcdist::sptr
+ constellation_calcdist::make(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int dimensionality)
+ {
+ return constellation_calcdist::sptr(new constellation_calcdist
+ (constell, pre_diff_code,
+ rotational_symmetry, dimensionality));
+ }
+
+ constellation_calcdist::constellation_calcdist(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int dimensionality)
+ : constellation(constell, pre_diff_code, rotational_symmetry, dimensionality)
+ {}
+
+ // Chooses points base on shortest distance.
+ // Inefficient.
+ unsigned int
+ constellation_calcdist::decision_maker(const gr_complex *sample)
+ {
+ return get_closest_point(sample);
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_sector::constellation_sector(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int dimensionality,
+ unsigned int n_sectors) :
+ constellation(constell, pre_diff_code, rotational_symmetry, dimensionality),
+ n_sectors(n_sectors)
+ {
+ }
+
+ constellation_sector::~constellation_sector()
+ {
+ }
+
+ unsigned int
+ constellation_sector::decision_maker(const gr_complex *sample)
+ {
+ unsigned int sector;
+ sector = get_sector(sample);
+ return sector_values[sector];
+ }
+
+ void
+ constellation_sector::find_sector_values()
+ {
+ unsigned int i;
+ sector_values.clear();
+ for(i=0; i<n_sectors; i++) {
+ sector_values.push_back(calc_sector_value(i));
+ }
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_rect::sptr
+ constellation_rect::make(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int real_sectors,
+ unsigned int imag_sectors,
+ float width_real_sectors,
+ float width_imag_sectors)
+ {
+ return constellation_rect::sptr(new constellation_rect
+ (constell, pre_diff_code,
+ rotational_symmetry,
+ real_sectors, imag_sectors,
+ width_real_sectors,
+ width_imag_sectors));
+ }
+
+ constellation_rect::constellation_rect(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int rotational_symmetry,
+ unsigned int real_sectors, unsigned int imag_sectors,
+ float width_real_sectors, float width_imag_sectors) :
+ constellation_sector(constell, pre_diff_code, rotational_symmetry,
+ 1, real_sectors * imag_sectors),
+ n_real_sectors(real_sectors), n_imag_sectors(imag_sectors),
+ d_width_real_sectors(width_real_sectors), d_width_imag_sectors(width_imag_sectors)
+ {
+ d_width_real_sectors *= d_scalefactor;
+ d_width_imag_sectors *= d_scalefactor;
+ find_sector_values();
+ }
+
+ constellation_rect::~constellation_rect()
+ {
+ }
+
+ unsigned int
+ constellation_rect::get_sector(const gr_complex *sample)
+ {
+ int real_sector, imag_sector;
+ unsigned int sector;
+
+ real_sector = int(real(*sample)/d_width_real_sectors + n_real_sectors/2.0);
+ if(real_sector < 0)
+ real_sector = 0;
+ if(real_sector >= (int)n_real_sectors)
+ real_sector = n_real_sectors-1;
+
+ imag_sector = int(imag(*sample)/d_width_imag_sectors + n_imag_sectors/2.0);
+ if(imag_sector < 0)
+ imag_sector = 0;
+ if(imag_sector >= (int)n_imag_sectors)
+ imag_sector = n_imag_sectors-1;
+
+ sector = real_sector * n_imag_sectors + imag_sector;
+ return sector;
+ }
+
+ unsigned int
+ constellation_rect::calc_sector_value(unsigned int sector)
+ {
+ unsigned int real_sector, imag_sector;
+ gr_complex sector_center;
+ unsigned int closest_point;
+ real_sector = float(sector)/n_imag_sectors;
+ imag_sector = sector - real_sector * n_imag_sectors;
+ sector_center = gr_complex((real_sector + 0.5 - n_real_sectors/2.0) * d_width_real_sectors,
+ (imag_sector + 0.5 - n_imag_sectors/2.0) * d_width_imag_sectors);
+ closest_point = get_closest_point(&sector_center);
+ return closest_point;
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_psk::sptr
+ constellation_psk::make(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int n_sectors)
+ {
+ return constellation_psk::sptr(new constellation_psk
+ (constell, pre_diff_code,
+ n_sectors));
+ }
+
+ constellation_psk::constellation_psk(std::vector<gr_complex> constell,
+ std::vector<int> pre_diff_code,
+ unsigned int n_sectors) :
+ constellation_sector(constell, pre_diff_code, constell.size(), 1, n_sectors)
+ {
+ find_sector_values();
+ }
+
+ constellation_psk::~constellation_psk()
+ {
+ }
+
+ unsigned int
+ constellation_psk::get_sector(const gr_complex *sample)
+ {
+ float phase = arg(*sample);
+ float width = M_TWOPI / n_sectors;
+ int sector = floor(phase/width + 0.5);
+ if(sector < 0)
+ sector += n_sectors;
+ return sector;
+ }
+
+ unsigned int
+ constellation_psk::calc_sector_value(unsigned int sector)
+ {
+ float phase = sector * M_TWOPI / n_sectors;
+ gr_complex sector_center = gr_complex(cos(phase), sin(phase));
+ unsigned int closest_point = get_closest_point(&sector_center);
+ return closest_point;
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_bpsk::sptr
+ constellation_bpsk::make()
+ {
+ return constellation_bpsk::sptr(new constellation_bpsk());
+ }
+
+ constellation_bpsk::constellation_bpsk()
+ {
+ d_constellation.resize(2);
+ d_constellation[0] = gr_complex(-1, 0);
+ d_constellation[1] = gr_complex(1, 0);
+ d_rotational_symmetry = 2;
+ d_dimensionality = 1;
+ calc_arity();
+ }
+
+ constellation_bpsk::~constellation_bpsk()
+ {
+ }
+
+ unsigned int
+ constellation_bpsk::decision_maker(const gr_complex *sample)
+ {
+ return (real(*sample) > 0);
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_qpsk::sptr
+ constellation_qpsk::make()
+ {
+ return constellation_qpsk::sptr(new constellation_qpsk());
+ }
+
+ constellation_qpsk::constellation_qpsk()
+ {
+ d_constellation.resize(4);
+ // Gray-coded
+ d_constellation[0] = gr_complex(-SQRT_TWO, -SQRT_TWO);
+ d_constellation[1] = gr_complex(SQRT_TWO, -SQRT_TWO);
+ d_constellation[2] = gr_complex(-SQRT_TWO, SQRT_TWO);
+ d_constellation[3] = gr_complex(SQRT_TWO, SQRT_TWO);
+
+ /*
+ d_constellation[0] = gr_complex(SQRT_TWO, SQRT_TWO);
+ d_constellation[1] = gr_complex(-SQRT_TWO, SQRT_TWO);
+ d_constellation[2] = gr_complex(SQRT_TWO, -SQRT_TWO);
+ d_constellation[3] = gr_complex(SQRT_TWO, -SQRT_TWO);
+ */
+
+ d_pre_diff_code.resize(4);
+ d_pre_diff_code[0] = 0x0;
+ d_pre_diff_code[1] = 0x2;
+ d_pre_diff_code[2] = 0x3;
+ d_pre_diff_code[3] = 0x1;
+
+ d_rotational_symmetry = 4;
+ d_dimensionality = 1;
+ calc_arity();
+ }
+
+ constellation_qpsk::~constellation_qpsk()
+ {
+ }
+
+ unsigned int
+ constellation_qpsk::decision_maker(const gr_complex *sample)
+ {
+ // Real component determines small bit.
+ // Imag component determines big bit.
+ return 2*(imag(*sample)>0) + (real(*sample)>0);
+
+ /*
+ bool a = real(*sample) > 0;
+ bool b = imag(*sample) > 0;
+ if(a) {
+ if(b)
+ return 0x0;
+ else
+ return 0x1;
+ }
+ else {
+ if(b)
+ return 0x2;
+ else
+ return 0x3;
+ }
+ */
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_dqpsk::sptr
+ constellation_dqpsk::make()
+ {
+ return constellation_dqpsk::sptr(new constellation_dqpsk());
+ }
+
+ constellation_dqpsk::constellation_dqpsk()
+ {
+ // This constellation is not gray coded, which allows
+ // us to use differential encodings (through diff_encode and
+ // diff_decode) on the symbols.
+ d_constellation.resize(4);
+ d_constellation[0] = gr_complex(+SQRT_TWO, +SQRT_TWO);
+ d_constellation[1] = gr_complex(-SQRT_TWO, +SQRT_TWO);
+ d_constellation[2] = gr_complex(-SQRT_TWO, -SQRT_TWO);
+ d_constellation[3] = gr_complex(+SQRT_TWO, -SQRT_TWO);
+
+ // Use this mapping to convert to gray code before diff enc.
+ d_pre_diff_code.resize(4);
+ d_pre_diff_code[0] = 0x0;
+ d_pre_diff_code[1] = 0x1;
+ d_pre_diff_code[2] = 0x3;
+ d_pre_diff_code[3] = 0x2;
+ d_apply_pre_diff_code = true;
+
+ d_rotational_symmetry = 4;
+ d_dimensionality = 1;
+ calc_arity();
+ }
+
+ constellation_dqpsk::~constellation_dqpsk()
+ {
+ }
+
+ unsigned int
+ constellation_dqpsk::decision_maker(const gr_complex *sample)
+ {
+ // Slower deicison maker as we can't slice along one axis.
+ // Maybe there's a better way to do this, still.
+
+ bool a = real(*sample) > 0;
+ bool b = imag(*sample) > 0;
+ if(a) {
+ if(b)
+ return 0x0;
+ else
+ return 0x3;
+ }
+ else {
+ if(b)
+ return 0x1;
+ else
+ return 0x2;
+ }
+ }
+
+
+ /********************************************************************/
+
+
+ constellation_8psk::sptr
+ constellation_8psk::make()
+ {
+ return constellation_8psk::sptr(new constellation_8psk());
+ }
+
+ constellation_8psk::constellation_8psk()
+ {
+ float angle = M_PI/8.0;
+ d_constellation.resize(8);
+ // Gray-coded
+ d_constellation[0] = gr_complex(cos( 1*angle), sin( 1*angle));
+ d_constellation[1] = gr_complex(cos( 7*angle), sin( 7*angle));
+ d_constellation[2] = gr_complex(cos(15*angle), sin(15*angle));
+ d_constellation[3] = gr_complex(cos( 9*angle), sin( 9*angle));
+ d_constellation[4] = gr_complex(cos( 3*angle), sin( 3*angle));
+ d_constellation[5] = gr_complex(cos( 5*angle), sin( 5*angle));
+ d_constellation[6] = gr_complex(cos(13*angle), sin(13*angle));
+ d_constellation[7] = gr_complex(cos(11*angle), sin(11*angle));
+ d_rotational_symmetry = 8;
+ d_dimensionality = 1;
+ calc_arity();
+ }
+
+ constellation_8psk::~constellation_8psk()
+ {
+ }
+
+ unsigned int
+ constellation_8psk::decision_maker(const gr_complex *sample)
+ {
+ unsigned int ret = 0;
+
+ float re = sample->real();
+ float im = sample->imag();
+
+ if(fabsf(re) <= fabsf(im))
+ ret = 4;
+ if(re <= 0)
+ ret |= 1;
+ if(im <= 0)
+ ret |= 2;
+
+ return ret;
+ }
+
+ } /* namespace digital */
+} /* namespace gr */