Reduce noise in refclock sample dispersions

Use the estimated dispersion only if it's higher than long-term average.
This should improve performance with short polling intervals.
This commit is contained in:
Miroslav Lichvar 2010-03-02 13:07:37 +01:00
parent 97f2f16fd6
commit b9b0326d15
3 changed files with 85 additions and 8 deletions

View file

@ -53,6 +53,8 @@ struct MedianFilter {
int index;
int used;
int last;
int avg_var_n;
double avg_var;
struct FilterSample *samples;
int *selected;
double *x_data;
@ -101,6 +103,7 @@ static void log_sample(RCL_Instance instance, struct timeval *sample_time, int f
static void filter_init(struct MedianFilter *filter, int length);
static void filter_fini(struct MedianFilter *filter);
static void filter_reset(struct MedianFilter *filter);
static double filter_get_avg_sample_dispersion(struct MedianFilter *filter);
static void filter_add_sample(struct MedianFilter *filter, struct timeval *sample_time, double offset, double dispersion);
static int filter_get_last_sample(struct MedianFilter *filter, struct timeval *sample_time, double *offset, double *dispersion);
static int filter_select_samples(struct MedianFilter *filter);
@ -348,7 +351,7 @@ RCL_AddSample(RCL_Instance instance, struct timeval *sample_time, double offset,
LCL_GetOffsetCorrection(sample_time, &correction, &dispersion);
UTI_AddDoubleToTimeval(sample_time, correction, &cooked_time);
dispersion += LCL_GetSysPrecisionAsQuantum();
dispersion += LCL_GetSysPrecisionAsQuantum() + filter_get_avg_sample_dispersion(&instance->filter);
if (!valid_sample_time(instance, sample_time))
return 0;
@ -374,7 +377,7 @@ RCL_AddPulse(RCL_Instance instance, struct timeval *pulse_time, double second)
LCL_GetOffsetCorrection(pulse_time, &correction, &dispersion);
UTI_AddDoubleToTimeval(pulse_time, correction, &cooked_time);
dispersion += LCL_GetSysPrecisionAsQuantum();
dispersion += LCL_GetSysPrecisionAsQuantum() + filter_get_avg_sample_dispersion(&instance->filter);
if (!valid_sample_time(instance, pulse_time))
return 0;
@ -526,7 +529,6 @@ poll_timeout(void *arg)
int sample_ok, stratum;
sample_ok = filter_get_sample(&inst->filter, &sample_time, &offset, &dispersion);
filter_reset(&inst->filter);
inst->driver_polled = 0;
if (sample_ok) {
@ -634,6 +636,9 @@ filter_init(struct MedianFilter *filter, int length)
filter->index = -1;
filter->used = 0;
filter->last = -1;
/* set first estimate to system precision */
filter->avg_var_n = 0;
filter->avg_var = LCL_GetSysPrecisionAsQuantum() * LCL_GetSysPrecisionAsQuantum();
filter->samples = MallocArray(struct FilterSample, filter->length);
filter->selected = MallocArray(int, filter->length);
filter->x_data = MallocArray(double, filter->length);
@ -658,6 +663,12 @@ filter_reset(struct MedianFilter *filter)
filter->used = 0;
}
static double
filter_get_avg_sample_dispersion(struct MedianFilter *filter)
{
return sqrt(filter->avg_var);
}
static void
filter_add_sample(struct MedianFilter *filter, struct timeval *sample_time, double offset, double dispersion)
{
@ -789,8 +800,8 @@ static int
filter_get_sample(struct MedianFilter *filter, struct timeval *sample_time, double *offset, double *dispersion)
{
struct FilterSample *s, *ls;
int i, n;
double x, y, d, e;
int i, n, dof;
double x, y, d, e, var, prev_avg_var;
n = filter_select_samples(filter);
@ -818,6 +829,8 @@ filter_get_sample(struct MedianFilter *filter, struct timeval *sample_time, doub
y /= n;
e /= n;
e -= sqrt(filter->avg_var);
if (n >= 4) {
double b0, b1, s2, sb0, sb1;
@ -829,18 +842,53 @@ filter_get_sample(struct MedianFilter *filter, struct timeval *sample_time, doub
as dispersion */
RGR_WeightedRegression(filter->x_data, filter->y_data, filter->w_data, n,
&b0, &b1, &s2, &sb0, &sb1);
var = s2;
d = sb0;
dof = n - 2;
} else if (n >= 2) {
for (i = 0, d = 0.0; i < n; i++)
d += (filter->y_data[i] - y) * (filter->y_data[i] - y);
d = sqrt(d / (n - 1));
var = d / (n - 1);
d = sqrt(var);
dof = n - 1;
} else {
d = 0.0;
var = filter->avg_var;
d = sqrt(var);
dof = 1;
}
/* avoid having zero dispersion */
if (var < 1e-20) {
var = 1e-20;
d = sqrt(var);
}
prev_avg_var = filter->avg_var;
/* update exponential moving average of the variance */
if (filter->avg_var_n > 100) {
filter->avg_var += dof / (dof + 100.0) * (var - filter->avg_var);
} else {
filter->avg_var = (filter->avg_var * filter->avg_var_n + var * dof) /
(dof + filter->avg_var_n);
if (filter->avg_var_n == 0)
prev_avg_var = filter->avg_var;
filter->avg_var_n += dof;
}
/* reduce noise in sourcestats weights by using the long-term average
instead of the estimated variance if it's not significantly lower */
if (var * dof / RGR_GetChi2Coef(dof) < prev_avg_var)
d = sqrt(filter->avg_var) * d / sqrt(var);
if (d < e)
d = e;
UTI_AddDoubleToTimeval(&ls->sample_time, x, sample_time);
*offset = y;
*dispersion = d + e;
*dispersion = d;
filter_reset(filter);
return 1;
}

View file

@ -135,6 +135,30 @@ RGR_GetTCoef(int dof)
}
}
/* ================================================== */
/* Get 90% quantile of chi-square distribution */
double
RGR_GetChi2Coef(int dof)
{
static double coefs[] = {
2.706, 4.605, 6.251, 7.779, 9.236, 10.645, 12.017, 13.362,
14.684, 15.987, 17.275, 18.549, 19.812, 21.064, 22.307, 23.542,
24.769, 25.989, 27.204, 28.412, 29.615, 30.813, 32.007, 33.196,
34.382, 35.563, 36.741, 37.916, 39.087, 40.256, 41.422, 42.585,
43.745, 44.903, 46.059, 47.212, 48.363, 49.513, 50.660, 51.805,
52.949, 54.090, 55.230, 56.369, 57.505, 58.641, 59.774, 60.907,
62.038, 63.167, 64.295, 65.422, 66.548, 67.673, 68.796, 69.919,
71.040, 72.160, 73.279, 74.397, 75.514, 76.630, 77.745, 78.860
};
if (dof <= 64) {
return coefs[dof-1];
} else {
return 1.2 * dof; /* Until I can be bothered to do something better */
}
}
/* ================================================== */
/* Structure used for holding results of each regression */

View file

@ -61,6 +61,11 @@ RGR_WeightedRegression
extern double RGR_GetTCoef(int dof);
/* Return the value to apply to the variance to make an upper one-sided
test assuming a chi-square distribution. */
extern double RGR_GetChi2Coef(int dof);
/* Return a status indicating whether there were enough points to
carry out the regression */