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-rw-r--r--gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.cc12
-rw-r--r--gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.h25
-rw-r--r--gnuradio-core/src/lib/filter/gr_pfb_channelizer_ccf.h1
-rw-r--r--gnuradio-core/src/lib/filter/gr_pfb_clock_sync_ccf.h95
-rw-r--r--gnuradio-core/src/lib/filter/gr_pfb_clock_sync_fff.h95
-rw-r--r--gnuradio-core/src/lib/general/gr_fll_band_edge_cc.h10
6 files changed, 219 insertions, 19 deletions
diff --git a/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.cc b/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.cc
index 48eb849ab..5a6e753ab 100644
--- a/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.cc
+++ b/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.cc
@@ -1,6 +1,6 @@
/* -*- c++ -*- */
/*
- * Copyright 2009 Free Software Foundation, Inc.
+ * Copyright 2009,2010 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
@@ -79,8 +79,8 @@ gr_pfb_arb_resampler_ccf::gr_pfb_arb_resampler_ccf (float rate,
// Now, actually set the filters' taps
std::vector<float> dtaps;
create_diff_taps(taps, dtaps);
- set_taps(taps, d_taps, d_filters);
- set_taps(dtaps, d_dtaps, d_diff_filters);
+ create_taps(taps, d_taps, d_filters);
+ create_taps(dtaps, d_dtaps, d_diff_filters);
}
gr_pfb_arb_resampler_ccf::~gr_pfb_arb_resampler_ccf ()
@@ -91,9 +91,9 @@ gr_pfb_arb_resampler_ccf::~gr_pfb_arb_resampler_ccf ()
}
void
-gr_pfb_arb_resampler_ccf::set_taps (const std::vector<float> &newtaps,
- std::vector< std::vector<float> > &ourtaps,
- std::vector<gr_fir_ccf*> &ourfilter)
+gr_pfb_arb_resampler_ccf::create_taps (const std::vector<float> &newtaps,
+ std::vector< std::vector<float> > &ourtaps,
+ std::vector<gr_fir_ccf*> &ourfilter)
{
int i,j;
diff --git a/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.h b/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.h
index b99ad286b..cf5a79d4e 100644
--- a/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.h
+++ b/gnuradio-core/src/lib/filter/gr_pfb_arb_resampler_ccf.h
@@ -1,6 +1,6 @@
/* -*- c++ -*- */
/*
- * Copyright 2009 Free Software Foundation, Inc.
+ * Copyright 2009,2010 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
@@ -139,18 +139,23 @@ class gr_pfb_arb_resampler_ccf : public gr_block
void create_diff_taps(const std::vector<float> &newtaps,
std::vector<float> &difftaps);
-
-public:
- ~gr_pfb_arb_resampler_ccf ();
-
+
/*!
* Resets the filterbank's filter taps with the new prototype filter
- * \param taps (vector/list of floats) The prototype filter to populate the filterbank. The taps
- * should be generated at the interpolated sampling rate.
+ * \param newtaps (vector of floats) The prototype filter to populate the filterbank.
+ * The taps should be generated at the interpolated sampling rate.
+ * \param ourtaps (vector of floats) Reference to our internal member of holding the taps.
+ * \param ourfilter (vector of filters) Reference to our internal filter to set the taps for.
*/
- void set_taps (const std::vector<float> &newtaps,
- std::vector< std::vector<float> > &ourtaps,
- std::vector<gr_fir_ccf*> &ourfilter);
+ void create_taps (const std::vector<float> &newtaps,
+ std::vector< std::vector<float> > &ourtaps,
+ std::vector<gr_fir_ccf*> &ourfilter);
+
+
+public:
+ ~gr_pfb_arb_resampler_ccf ();
+
+ // FIXME: See about a set_taps function during runtime.
/*!
* Print all of the filterbank taps to screen.
diff --git a/gnuradio-core/src/lib/filter/gr_pfb_channelizer_ccf.h b/gnuradio-core/src/lib/filter/gr_pfb_channelizer_ccf.h
index d56ccdbc6..751673bc7 100644
--- a/gnuradio-core/src/lib/filter/gr_pfb_channelizer_ccf.h
+++ b/gnuradio-core/src/lib/filter/gr_pfb_channelizer_ccf.h
@@ -149,6 +149,7 @@ class gr_pfb_channelizer_ccf : public gr_block
* Build the polyphase filterbank decimator.
* \param numchans (unsigned integer) Specifies the number of channels <EM>M</EM>
* \param taps (vector/list of floats) The prototype filter to populate the filterbank.
+ * \param oversample_rate (float) The output over sampling rate.
*/
gr_pfb_channelizer_ccf (unsigned int numchans,
const std::vector<float> &taps,
diff --git a/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_ccf.h b/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_ccf.h
index 70857173b..4e6ef5fc4 100644
--- a/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_ccf.h
+++ b/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_ccf.h
@@ -43,6 +43,71 @@ class gr_fir_ccf;
*
* \ingroup filter_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 filterbanke 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 clock sync block needs to know the number of samples per second (sps), because it
+ * only returns a single point representing the sample. The sps can be any positive real
+ * number and does not need to be an integer. The filter taps must also be specified. The
+ * taps are generated by first conceiving of the prototype filter that would be the signal's
+ * matched filter. Then interpolate this by the number of filters in the filterbank. These
+ * are then distributed among all of the filters. So if the prototype filter was to have
+ * 45 taps in it, then each path of the filterbank will also have 45 taps. This is easily
+ * done by building the filter with the sample rate multiplied by the number of filters
+ * to use.
+ *
+ * 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.
+ *
+ * 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.
+ *
+ * The final 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.
+ *
*/
class gr_pfb_clock_sync_ccf : public gr_block
@@ -50,6 +115,14 @@ class gr_pfb_clock_sync_ccf : 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).
+ *
*/
friend gr_pfb_clock_sync_ccf_sptr gr_make_pfb_clock_sync_ccf (double sps, float gain,
const std::vector<float> &taps,
@@ -96,24 +169,46 @@ public:
void set_taps (const std::vector<float> &taps,
std::vector< std::vector<float> > &ourtaps,
std::vector<gr_fir_ccf*> &ourfilter);
+
+ /*!
+ * Returns the taps of the matched filter
+ */
std::vector<float> channel_taps(int channel);
+
+ /*!
+ * Returns the taps in the derivative filter
+ */
std::vector<float> diff_channel_taps(int channel);
/*!
* Print all of the filterbank taps to screen.
*/
void print_taps();
+
+ /*!
+ * Print all of the filterbank taps of the derivative filter to screen.
+ */
void print_diff_taps();
+ /*!
+ * Set the gain value alpha for the control loop
+ */
void set_alpha(float alpha)
{
d_alpha = alpha;
}
+
+ /*!
+ * Set the gain value beta for the control loop
+ */
void set_beta(float beta)
{
d_beta = beta;
}
+ /*!
+ * Set the maximum deviation from 0 d_rate can have
+ */
void set_max_rate_deviation(float m)
{
d_max_dev = m;
diff --git a/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_fff.h b/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_fff.h
index 10eec4f54..fa1279a7c 100644
--- a/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_fff.h
+++ b/gnuradio-core/src/lib/filter/gr_pfb_clock_sync_fff.h
@@ -43,6 +43,71 @@ class gr_fir_fff;
*
* \ingroup filter_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 filterbanke 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 clock sync block needs to know the number of samples per second (sps), because it
+ * only returns a single point representing the sample. The sps can be any positive real
+ * number and does not need to be an integer. The filter taps must also be specified. The
+ * taps are generated by first conceiving of the prototype filter that would be the signal's
+ * matched filter. Then interpolate this by the number of filters in the filterbank. These
+ * are then distributed among all of the filters. So if the prototype filter was to have
+ * 45 taps in it, then each path of the filterbank will also have 45 taps. This is easily
+ * done by building the filter with the sample rate multiplied by the number of filters
+ * to use.
+ *
+ * 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.
+ *
+ * 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.
+ *
+ * The final 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.
+ *
*/
class gr_pfb_clock_sync_fff : public gr_block
@@ -50,6 +115,14 @@ class gr_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).
+ *
*/
friend gr_pfb_clock_sync_fff_sptr gr_make_pfb_clock_sync_fff (double sps, float gain,
const std::vector<float> &taps,
@@ -96,24 +169,46 @@ public:
void set_taps (const std::vector<float> &taps,
std::vector< std::vector<float> > &ourtaps,
std::vector<gr_fir_fff*> &ourfilter);
+
+ /*!
+ * Returns the taps of the matched filter
+ */
std::vector<float> channel_taps(int channel);
+
+ /*!
+ * Returns the taps in the derivative filter
+ */
std::vector<float> diff_channel_taps(int channel);
/*!
* Print all of the filterbank taps to screen.
*/
void print_taps();
+
+ /*!
+ * Print all of the filterbank taps of the derivative filter to screen.
+ */
void print_diff_taps();
+ /*!
+ * Set the gain value alpha for the control loop
+ */
void set_alpha(float alpha)
{
d_alpha = alpha;
}
+
+ /*!
+ * Set the gain value beta for the control loop
+ */
void set_beta(float beta)
{
d_beta = beta;
}
+ /*!
+ * Set the maximum deviation from 0 d_rate can have
+ */
void set_max_rate_deviation(float m)
{
d_max_dev = m;
diff --git a/gnuradio-core/src/lib/general/gr_fll_band_edge_cc.h b/gnuradio-core/src/lib/general/gr_fll_band_edge_cc.h
index 178e18f3e..db060793e 100644
--- a/gnuradio-core/src/lib/general/gr_fll_band_edge_cc.h
+++ b/gnuradio-core/src/lib/general/gr_fll_band_edge_cc.h
@@ -48,12 +48,12 @@ class gri_fft_complex;
*
* 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)
+ * 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 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
+ * (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 fot the band edges is therefore
@@ -93,7 +93,11 @@ class gr_fll_band_edge_cc : public gr_sync_block
/*!
* Build the FLL
- * \param taps (vector/list of gr_complex) The taps of the band-edge filter
+ * \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 alpha (float) Alpha gain in the control loop
+ * \param beta (float) Beta gain in the control loop
*/
gr_fll_band_edge_cc(float samps_per_sym, float rolloff,
int filter_size, float alpha, float beta);