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-rw-r--r--lib/kalman_filter.c63
1 files changed, 63 insertions, 0 deletions
diff --git a/lib/kalman_filter.c b/lib/kalman_filter.c
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+++ b/lib/kalman_filter.c
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+// Kalman Filter
+//
+// kalman_filter
+//
+// Kalman Filter
+//
+// Optimal state estimation via predict-update cycle
+//
+// Inputs: 1
+// Outputs: 1
+// Constants: 2
+
+
+#include <math.h>
+#include "ts.h"
+
+typedef struct {
+ fp_t Q;
+ fp_t R;
+} ts_kalman_filter_params_t;
+
+ts_parameter_t const ts_kalman_filter_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 2, .params_size = sizeof(ts_kalman_filter_params_t) };
+
+uint_t ts_kalman_filter_offset( ts_constant_t const *c )
+{
+ ( void )c;
+ return ( 0 );
+}
+
+int ts_kalman_filter(
+ fp_t * const *y, uint_t y_n,
+ fp_t const * const *x, uint_t x_n,
+ uint_t n, ts_constant_t const *c
+)
+{
+ TS_PROLOGUE( ts_kalman_filter_p );
+ if ( !c ) return -1;
+ TS_CHECK_INPUT(x, x_n, n);
+ fp_t Q = ((ts_kalman_filter_params_t *)c)->Q;
+ fp_t R = ((ts_kalman_filter_params_t *)c)->R;
+
+ if (Q < 0 || R < 0) return -1;
+ if (isnan(Q) || isnan(R)) return -1;
+ if (n == 0) return -1;
+ fp_t x_est = x[0][0];
+ /* NOTE: P=1.0 is a reasonable default for normalized data.
+ * For price data in the range of 100-3000, consider initializing
+ * P to the variance of the first few samples. */
+ fp_t P = 1.0;
+
+ y[0][0] = x_est;
+ for ( uint_t i = 1; i < n; ++i )
+ {
+ P = P + Q;
+ fp_t denom = P + R;
+ fp_t K = denom != 0 ? P / denom : 0;
+ x_est = x_est + K * (x[0][i] - x_est);
+ P = (1 - K) * P;
+ y[0][i] = x_est;
+ }
+ return 0;
+}
+