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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_CCF_H
+#define INCLUDED_DIGITAL_PFB_CLOCK_SYNC_CCF_H
+
+#include <digital_api.h>
+#include <gr_block.h>
+
+class digital_pfb_clock_sync_ccf;
+typedef boost::shared_ptr<digital_pfb_clock_sync_ccf> digital_pfb_clock_sync_ccf_sptr;
+DIGITAL_API digital_pfb_clock_sync_ccf_sptr
+digital_make_pfb_clock_sync_ccf(double sps, float loop_bw,
+ 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_ccf;
+
+/*!
+ * \class digital_pfb_clock_sync_ccf
+ *
+ * \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 GR_CORE_API digital_pfb_clock_sync_ccf : public gr_block
+{
+ private:
+ /*!
+ * Build the polyphase filterbank timing synchronizer.
+ * \param sps (double) The number of samples per symbol in the incoming signal
+ * \param loop_bw (float) The bandwidth of the control loop; set's alpha and beta.
+ * \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_ccf_sptr
+ digital_make_pfb_clock_sync_ccf(double sps, float loop_bw,
+ 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_ccf*> d_filters;
+ std::vector<gr_fir_ccf*> 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_ccf(double sps, float loop_bw,
+ 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_ccf();
+
+ /*! \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_ccf*> &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