diff --git a/lib/hilbert.c b/lib/hilbert.c
index 48d587d..b31424e 100644
--- a/lib/hilbert.c
+++ b/lib/hilbert.c
@@ -1,24 +1,8 @@
 #include "hilbert.h"
 
-static float generate_coefficient(int i, int nzeros) {
-    if (i == nzeros/2) return 0.0f;
-    
-    float n = i - nzeros/2;
-    // Basic Hilbert transform coefficient
-    float h = (i == nzeros/2) ? 0.0f : (2.0f/(PI * n));
-    
-    // Apply Blackman window for better stopband attenuation
-    float w = 0.42f - 0.5f * cosf(2.0f * PI * i / nzeros) + 
-              0.08f * cosf(4.0f * PI * i / nzeros);
-    
-    return h * w;
-}
 void init_hilbert(HilbertTransformer *hilbert) {
     hilbert->delay = calloc(D_SIZE, sizeof(float));
     hilbert->dptr = 0;
-    for(int i = 0; i < NZEROS; i++) {
-        hilbert->coeffs[i] = generate_coefficient(i, NZEROS);
-    }
 }
 
 void apply_hilbert(HilbertTransformer *hilbert, float sample, float *output_0deg, float *output_90deg) {
@@ -27,7 +11,7 @@ void apply_hilbert(HilbertTransformer *hilbert, float sample, float *output_0deg
     hilbert->delay[hilbert->dptr] = sample;
     hilb = 0.0f;
     for(int i = 0; i < NZEROS/2; i++) {
-        hilb += (hilbert->coeffs[i] * hilbert->delay[(hilbert->dptr - i*2) & (D_SIZE - 1)]);
+        hilb += (xcoeffs[i] * hilbert->delay[(hilbert->dptr - i*2) & (D_SIZE - 1)]);
     }
 
     *output_0deg = hilbert->delay[(hilbert->dptr - 99) & (D_SIZE - 1)];
diff --git a/lib/hilbert.h b/lib/hilbert.h
index 86a3e13..920fb6d 100644
--- a/lib/hilbert.h
+++ b/lib/hilbert.h
@@ -1,14 +1,40 @@
 #include <stdlib.h>
-#include <math.h>
-#include "constants.h"
 
 #define D_SIZE 256
 #define NZEROS 200
 
+/* The non-zero taps of the Hilbert transformer */
+static float xcoeffs[] = {
+     +0.0008103736f, +0.0008457886f, +0.0009017196f, +0.0009793364f,
+     +0.0010798341f, +0.0012044365f, +0.0013544008f, +0.0015310235f,
+     +0.0017356466f, +0.0019696659f, +0.0022345404f, +0.0025318040f,
+     +0.0028630784f, +0.0032300896f, +0.0036346867f, +0.0040788644f,
+     +0.0045647903f, +0.0050948365f, +0.0056716186f, +0.0062980419f,
+     +0.0069773575f, +0.0077132300f, +0.0085098208f, +0.0093718901f,
+     +0.0103049226f, +0.0113152847f, +0.0124104218f, +0.0135991079f,
+     +0.0148917649f, +0.0163008758f, +0.0178415242f, +0.0195321089f,
+     +0.0213953037f, +0.0234593652f, +0.0257599469f, +0.0283426636f,
+     +0.0312667947f, +0.0346107648f, +0.0384804823f, +0.0430224431f,
+     +0.0484451086f, +0.0550553725f, +0.0633242001f, +0.0740128560f,
+     +0.0884368322f, +0.1090816773f, +0.1412745301f, +0.1988673273f,
+     +0.3326528346f, +0.9997730178f, -0.9997730178f, -0.3326528346f,
+     -0.1988673273f, -0.1412745301f, -0.1090816773f, -0.0884368322f,
+     -0.0740128560f, -0.0633242001f, -0.0550553725f, -0.0484451086f,
+     -0.0430224431f, -0.0384804823f, -0.0346107648f, -0.0312667947f,
+     -0.0283426636f, -0.0257599469f, -0.0234593652f, -0.0213953037f,
+     -0.0195321089f, -0.0178415242f, -0.0163008758f, -0.0148917649f,
+     -0.0135991079f, -0.0124104218f, -0.0113152847f, -0.0103049226f,
+     -0.0093718901f, -0.0085098208f, -0.0077132300f, -0.0069773575f,
+     -0.0062980419f, -0.0056716186f, -0.0050948365f, -0.0045647903f,
+     -0.0040788644f, -0.0036346867f, -0.0032300896f, -0.0028630784f,
+     -0.0025318040f, -0.0022345404f, -0.0019696659f, -0.0017356466f,
+     -0.0015310235f, -0.0013544008f, -0.0012044365f, -0.0010798341f,
+     -0.0009793364f, -0.0009017196f, -0.0008457886f, -0.0008103736f,
+};
+
 typedef struct {
     float* delay;
     int dptr;
-    float coeffs[NZEROS];
 } HilbertTransformer;
 
 void init_hilbert(HilbertTransformer *hilbert);