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 */