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fll_band_edge_cc.h
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/* -*- c++ -*- */
/*
* Copyright 2009,2011,2012 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
* SPDX-License-Identifier: GPL-3.0-or-later
*
*/
#ifndef INCLUDED_DIGITAL_FLL_BAND_EDGE_CC_H
#define INCLUDED_DIGITAL_FLL_BAND_EDGE_CC_H
#include <gnuradio/blocks/control_loop.h>
#include <gnuradio/digital/api.h>
#include <gnuradio/sync_block.h>
namespace gr {
namespace digital {
/*!
* \brief Frequency Lock Loop using band-edge filters
* \ingroup synchronizers_blk
*
* \details
* The frequency lock loop derives a band-edge filter that covers
* the upper and lower bandwidths of a digitally-modulated
* signal. The bandwidth range is determined by the excess
* bandwidth (e.g., rolloff factor) of the modulated signal. The
* placement in frequency of the band-edges is determined by the
* oversampling ratio (number of samples per symbol) and the
* excess bandwidth. The size of the filters should be fairly
* large so as to average over a number of symbols.
*
* The FLL works by filtering the upper and lower band edges into
* x_u(t) and x_l(t), respectively. These are combined to form
* cc(t) = x_u(t) + x_l(t) and ss(t) = x_u(t) - x_l(t). Combining
* these to form the signal e(t) = Re{cc(t) \\times ss(t)^*}
* (where ^* is the complex conjugate) provides an error signal at
* the DC term that is directly proportional to the carrier
* frequency. We then make a second-order loop using the error
* signal that is the running average of e(t).
*
* In practice, the above equation can be simplified by just
* comparing the absolute value squared of the output of both
* filters: abs(x_l(t))^2 - abs(x_u(t))^2 = norm(x_l(t)) -
* norm(x_u(t)).
*
* In theory, the band-edge filter is the derivative of the
* matched filter in frequency, (H_be(f) = frac{H(f)}{df}). In
* practice, this comes down to a quarter sine wave at the point
* of the matched filter's rolloff (if it's a raised-cosine, the
* derivative of a cosine is a sine). Extend this sine by another
* quarter wave to make a half wave around the band-edges is
* equivalent in time to the sum of two sinc functions. The
* baseband filter for the band edges is therefore derived from
* this sum of sincs. The band edge filters are then just the
* baseband signal modulated to the correct place in
* frequency. All of these calculations are done in the
* 'design_filter' function.
*
* Note: We use FIR filters here because the filters have to have
* a flat phase response over the entire frequency range to allow
* their comparisons to be valid.
*
* It is very important that the band edge filters be the
* derivatives of the pulse shaping filter, and that they be
* linear phase. Otherwise, the variance of the error will be very
* large.
*/
class DIGITAL_API fll_band_edge_cc : virtual public sync_block,
virtual public blocks::control_loop
{
public:
// gr::digital::fll_band_edge_cc::sptr
typedef std::shared_ptr<fll_band_edge_cc> sptr;
/*!
* Make an FLL block.
*
* \param samps_per_sym (float) number of samples per symbol
* \param rolloff (float) Rolloff (excess bandwidth) of signal filter
* \param filter_size (int) number of filter taps to generate
* \param bandwidth (float) Loop bandwidth
*/
static sptr
make(float samps_per_sym, float rolloff, int filter_size, float bandwidth);
/*******************************************************************
SET FUNCTIONS
*******************************************************************/
/*!
* \brief Set the number of samples per symbol
*
* Set's the number of samples per symbol the system should
* use. This value is used to calculate the filter taps and will
* force a recalculation.
*
* \param sps (float) new samples per symbol
*/
virtual void set_samples_per_symbol(float sps) = 0;
/*!
* \brief Set the rolloff factor of the shaping filter
*
* This sets the rolloff factor that is used in the pulse
* shaping filter and is used to calculate the filter
* taps. Changing this will force a recalculation of the filter
* taps.
*
* This should be the same value that is used in the
* transmitter's pulse shaping filter. It must be between 0 and
* 1 and is usually between 0.2 and 0.5 (where 0.22 and 0.35 are
* commonly used values).
*
* \param rolloff (float) new shaping filter rolloff factor [0,1]
*/
virtual void set_rolloff(float rolloff) = 0;
/*!
* \brief Set the number of taps in the filter
*
* This sets the number of taps in the band-edge
* filters. Setting this will force a recalculation of the
* filter taps.
*
* This should be about the same number of taps used in the
* transmitter's shaping filter and also not very large. A large
* number of taps will result in a large delay between input and
* frequency estimation, and so will not be as accurate. Between
* 30 and 70 taps is usual.
*
* \param filter_size (float) number of taps in the filters
*/
virtual void set_filter_size(int filter_size) = 0;
/*******************************************************************
GET FUNCTIONS
*******************************************************************/
/*!
* \brief Returns the number of sampler per symbol used for the filter
*/
virtual float samples_per_symbol() const = 0;
/*!
* \brief Returns the rolloff factor used for the filter
*/
virtual float rolloff() const = 0;
/*!
* \brief Returns the number of taps of the filter
*/
virtual int filter_size() const = 0;
/*!
* Print the taps to screen.
*/
virtual void print_taps() = 0;
};
} /* namespace digital */
} /* namespace gr */
#endif /* INCLUDED_DIGITAL_FLL_BAND_EDGE_CC_H */
gr::blocks::control_loop
A second-order control loop implementation class.
Definition control_loop.h:51
gr::digital::fll_band_edge_cc
Frequency Lock Loop using band-edge filters.
Definition fll_band_edge_cc.h:73
gr::digital::fll_band_edge_cc::set_filter_size
virtual void set_filter_size(int filter_size)=0
Set the number of taps in the filter.
gr::digital::fll_band_edge_cc::filter_size
virtual int filter_size() const =0
Returns the number of taps of the filter.
gr::digital::fll_band_edge_cc::set_rolloff
virtual void set_rolloff(float rolloff)=0
Set the rolloff factor of the shaping filter.
gr::digital::fll_band_edge_cc::print_taps
virtual void print_taps()=0
gr::digital::fll_band_edge_cc::make
static sptr make(float samps_per_sym, float rolloff, int filter_size, float bandwidth)
gr::digital::fll_band_edge_cc::set_samples_per_symbol
virtual void set_samples_per_symbol(float sps)=0
Set the number of samples per symbol.
gr::digital::fll_band_edge_cc::samples_per_symbol
virtual float samples_per_symbol() const =0
Returns the number of sampler per symbol used for the filter.
gr::digital::fll_band_edge_cc::rolloff
virtual float rolloff() const =0
Returns the rolloff factor used for the filter.
gr::digital::fll_band_edge_cc::sptr
std::shared_ptr< fll_band_edge_cc > sptr
Definition fll_band_edge_cc.h:76
gr::sync_block::sync_block
sync_block(void)
Definition sync_block.h:28
control_loop.h
api.h
DIGITAL_API
#define DIGITAL_API
Definition gr-digital/include/gnuradio/digital/api.h:18
gr::digital
Definition adaptive_algorithm.h:22
gr
GNU Radio logging wrapper.
Definition basic_block.h:29
sync_block.h