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-/* -*- c++ -*- */
-/*
- * Copyright 2009,2010,2012 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.
- */
-
-
-#ifndef INCLUDED_DIGITAL_PFB_CLOCK_SYNC_FFF_H
-#define INCLUDED_DIGITAL_PFB_CLOCK_SYNC_FFF_H
-
-#include <digital_api.h>
-#include <gr_block.h>
-
-class digital_pfb_clock_sync_fff;
-typedef boost::shared_ptr<digital_pfb_clock_sync_fff> digital_pfb_clock_sync_fff_sptr;
-DIGITAL_API digital_pfb_clock_sync_fff_sptr
-digital_make_pfb_clock_sync_fff(double sps, float gain,
- const std::vector<float> &taps,
- unsigned int filter_size=32,
- float init_phase=0,
- float max_rate_deviation=1.5,
- int osps=1);
-
-class gr_fir_fff;
-
-/*!
- * \class digital_pfb_clock_sync_fff
- *
- * \brief Timing synchronizer using polyphase filterbanks
- *
- * \ingroup filter_blk
- * \ingroup pfb_blk
- *
- * This block performs timing synchronization for PAM signals by
- * minimizing the derivative of the filtered signal, which in turn
- * maximizes the SNR and minimizes ISI.
- *
- * This approach works by setting up two filterbanks; one filterbank
- * contains the signal's pulse shaping matched filter (such as a root
- * raised cosine filter), where each branch of the filterbank contains
- * a different phase of the filter. The second filterbank contains
- * the derivatives of the filters in the first filterbank. Thinking of
- * this in the time domain, the first filterbank contains filters that
- * have a sinc shape to them. We want to align the output signal to be
- * sampled at exactly the peak of the sinc shape. The derivative of
- * the sinc contains a zero at the maximum point of the sinc (sinc(0)
- * = 1, sinc(0)' = 0). Furthermore, the region around the zero point
- * is relatively linear. We make use of this fact to generate the
- * error signal.
- *
- * If the signal out of the derivative filters is d_i[n] for the ith
- * filter, and the output of the matched filter is x_i[n], we
- * calculate the error as: e[n] = (Re{x_i[n]} * Re{d_i[n]} +
- * Im{x_i[n]} * Im{d_i[n]}) / 2.0 This equation averages the error in
- * the real and imaginary parts. There are two reasons we multiply by
- * the signal itself. First, if the symbol could be positive or
- * negative going, but we want the error term to always tell us to go
- * in the same direction depending on which side of the zero point we
- * are on. The sign of x_i[n] adjusts the error term to do
- * this. Second, the magnitude of x_i[n] scales the error term
- * depending on the symbol's amplitude, so larger signals give us a
- * stronger error term because we have more confidence in that
- * symbol's value. Using the magnitude of x_i[n] instead of just the
- * sign is especially good for signals with low SNR.
- *
- * The error signal, e[n], gives us a value proportional to how far
- * away from the zero point we are in the derivative signal. We want
- * to drive this value to zero, so we set up a second order loop. We
- * have two variables for this loop; d_k is the filter number in the
- * filterbank we are on and d_rate is the rate which we travel through
- * the filters in the steady state. That is, due to the natural clock
- * differences between the transmitter and receiver, d_rate represents
- * that difference and would traverse the filter phase paths to keep
- * the receiver locked. Thinking of this as a second-order PLL, the
- * d_rate is the frequency and d_k is the phase. So we update d_rate
- * and d_k using the standard loop equations based on two error
- * signals, d_alpha and d_beta. We have these two values set based on
- * each other for a critically damped system, so in the block
- * constructor, we just ask for "gain," which is d_alpha while d_beta
- * is equal to (gain^2)/4.
- *
- * The block's parameters are:
- *
- * \li \p sps: The clock sync block needs to know the number of samples per
- * symbol, because it defaults to return a single point representing
- * the symbol. The sps can be any positive real number and does not
- * need to be an integer.
- *
- * \li \p loop_bw: The loop bandwidth is used to set the gain of the
- * inner control loop (see:
- * http://gnuradio.squarespace.com/blog/2011/8/13/control-loop-gain-values.html).
- * This should be set small (a value of around 2pi/100 is suggested in
- * that blog post as the step size for the number of radians around
- * the unit circle to move relative to the error).
- *
- * \li \p taps: One of the most important parameters for this block is
- * the taps of the filter. One of the benefits of this algorithm is
- * that you can put the matched filter in here as the taps, so you get
- * both the matched filter and sample timing correction in one go. So
- * create your normal matched filter. For a typical digital
- * modulation, this is a root raised cosine filter. The number of taps
- * of this filter is based on how long you expect the channel to be;
- * that is, how many symbols do you want to combine to get the current
- * symbols energy back (there's probably a better way of stating
- * that). It's usually 5 to 10 or so. That gives you your filter, but
- * now we need to think about it as a filter with different phase
- * profiles in each filter. So take this number of taps and multiply
- * it by the number of filters. This is the number you would use to
- * create your prototype filter. When you use this in the PFB
- * filerbank, it segments these taps into the filterbanks in such a
- * way that each bank now represents the filter at different phases,
- * equally spaced at 2pi/N, where N is the number of filters.
- *
- * \li \p filter_size (default=32): The number of filters can also be
- * set and defaults to 32. With 32 filters, you get a good enough
- * resolution in the phase to produce very small, almost unnoticeable,
- * ISI. Going to 64 filters can reduce this more, but after that
- * there is very little gained for the extra complexity.
- *
- * \li \p init_phase (default=0): The initial phase is another
- * settable parameter and refers to the filter path the algorithm
- * initially looks at (i.e., d_k starts at init_phase). This value
- * defaults to zero, but it might be useful to start at a different
- * phase offset, such as the mid-point of the filters.
- *
- * \li \p max_rate_deviation (default=1.5): The next parameter is the
- * max_rate_devitation, which defaults to 1.5. This is how far we
- * allow d_rate to swing, positive or negative, from 0. Constraining
- * the rate can help keep the algorithm from walking too far away to
- * lock during times when there is no signal.
- *
- * \li \p osps (default=1): The osps is the number of output samples
- * per symbol. By default, the algorithm produces 1 sample per symbol,
- * sampled at the exact sample value. This osps value was added to
- * better work with equalizers, which do a better job of modeling the
- * channel if they have 2 samps/sym.
- */
-
-class DIGITAL_API digital_pfb_clock_sync_fff : public gr_block
-{
- private:
- /*!
- * Build the polyphase filterbank timing synchronizer.
- * \param sps (double) The number of samples per second in the incoming signal
- * \param gain (float) The alpha gain of the control loop; beta = (gain^2)/4 by default.
- * \param taps (vector<int>) The filter taps.
- * \param filter_size (uint) The number of filters in the filterbank (default = 32).
- * \param init_phase (float) The initial phase to look at, or which filter to start
- * with (default = 0).
- * \param max_rate_deviation (float) Distance from 0 d_rate can get (default = 1.5).
- * \param osps (int) The number of output samples per symbol (default=1).
- *
- */
- friend DIGITAL_API digital_pfb_clock_sync_fff_sptr
- digital_make_pfb_clock_sync_fff(double sps, float gain,
- const std::vector<float> &taps,
- unsigned int filter_size,
- float init_phase,
- float max_rate_deviation,
- int osps);
-
- bool d_updated;
- double d_sps;
- double d_sample_num;
- float d_loop_bw;
- float d_damping;
- float d_alpha;
- float d_beta;
-
- int d_nfilters;
- int d_taps_per_filter;
- std::vector<gr_fir_fff*> d_filters;
- std::vector<gr_fir_fff*> d_diff_filters;
- std::vector< std::vector<float> > d_taps;
- std::vector< std::vector<float> > d_dtaps;
-
- float d_k;
- float d_rate;
- float d_rate_i;
- float d_rate_f;
- float d_max_dev;
- int d_filtnum;
- int d_osps;
- float d_error;
- int d_out_idx;
-
- /*!
- * Build the polyphase filterbank timing synchronizer.
- */
- digital_pfb_clock_sync_fff(double sps, float gain,
- const std::vector<float> &taps,
- unsigned int filter_size,
- float init_phase,
- float max_rate_deviation,
- int osps);
-
- void create_diff_taps(const std::vector<float> &newtaps,
- std::vector<float> &difftaps);
-
-public:
- ~digital_pfb_clock_sync_fff ();
-
- /*! \brief update the system gains from omega and eta
- *
- * This function updates the system gains based on the loop
- * bandwidth and damping factor of the system.
- * These two factors can be set separately through their own
- * set functions.
- */
- void update_gains();
-
- /*!
- * Resets the filterbank's filter taps with the new prototype filter
- */
- void set_taps(const std::vector<float> &taps,
- std::vector< std::vector<float> > &ourtaps,
- std::vector<gr_fir_fff*> &ourfilter);
-
- /*!
- * Returns all of the taps of the matched filter
- */
- std::vector< std::vector<float> > get_taps();
-
- /*!
- * Returns all of the taps of the derivative filter
- */
- std::vector< std::vector<float> > get_diff_taps();
-
- /*!
- * Returns the taps of the matched filter for a particular channel
- */
- std::vector<float> get_channel_taps(int channel);
-
- /*!
- * Returns the taps in the derivative filter for a particular channel
- */
- std::vector<float> get_diff_channel_taps(int channel);
-
- /*!
- * Return the taps as a formatted string for printing
- */
- std::string get_taps_as_string();
-
- /*!
- * Return the derivative filter taps as a formatted string for printing
- */
- std::string get_diff_taps_as_string();
-
-
- /*******************************************************************
- SET FUNCTIONS
- *******************************************************************/
-
-
- /*!
- * \brief Set the loop bandwidth
- *
- * Set the loop filter's bandwidth to \p bw. This should be between
- * 2*pi/200 and 2*pi/100 (in rads/samp). It must also be a positive
- * number.
- *
- * When a new damping factor is set, the gains, alpha and beta, of the loop
- * are recalculated by a call to update_gains().
- *
- * \param bw (float) new bandwidth
- *
- */
- void set_loop_bandwidth(float bw);
-
- /*!
- * \brief Set the loop damping factor
- *
- * Set the loop filter's damping factor to \p df. The damping factor
- * should be sqrt(2)/2.0 for critically damped systems.
- * Set it to anything else only if you know what you are doing. It must
- * be a number between 0 and 1.
- *
- * When a new damping factor is set, the gains, alpha and beta, of the loop
- * are recalculated by a call to update_gains().
- *
- * \param df (float) new damping factor
- *
- */
- void set_damping_factor(float df);
-
- /*!
- * \brief Set the loop gain alpha
- *
- * Set's the loop filter's alpha gain parameter.
- *
- * This value should really only be set by adjusting the loop bandwidth
- * and damping factor.
- *
- * \param alpha (float) new alpha gain
- *
- */
- void set_alpha(float alpha);
-
- /*!
- * \brief Set the loop gain beta
- *
- * Set's the loop filter's beta gain parameter.
- *
- * This value should really only be set by adjusting the loop bandwidth
- * and damping factor.
- *
- * \param beta (float) new beta gain
- *
- */
- void set_beta(float beta);
-
- /*!
- * Set the maximum deviation from 0 d_rate can have
- */
- void set_max_rate_deviation(float m)
- {
- d_max_dev = m;
- }
-
- /*******************************************************************
- GET FUNCTIONS
- *******************************************************************/
-
- /*!
- * \brief Returns the loop bandwidth
- */
- float get_loop_bandwidth() const;
-
- /*!
- * \brief Returns the loop damping factor
- */
- float get_damping_factor() const;
-
- /*!
- * \brief Returns the loop gain alpha
- */
- float get_alpha() const;
-
- /*!
- * \brief Returns the loop gain beta
- */
- float get_beta() const;
-
- /*!
- * \brief Returns the current clock rate
- */
- float get_clock_rate() const;
-
- /*******************************************************************
- *******************************************************************/
-
- bool check_topology(int ninputs, int noutputs);
-
- int general_work(int noutput_items,
- gr_vector_int &ninput_items,
- gr_vector_const_void_star &input_items,
- gr_vector_void_star &output_items);
-};
-
-#endif