Apply a digital filter direct form II transposed
func TDF_II_filter(signal, a, b) {
var out = [0]*signal.len
for i in ^signal {
var this = 0
for j in ^b { i-j >= 0 && (this += b[j]*signal[i-j]) }
for j in ^a { i-j >= 0 && (this -= a[j]* out[i-j]) }
out[i] = this/a[0]
}
return out
}
var signal = [
-0.917843918645, 0.141984778794, 1.20536903482, 0.190286794412,
-0.662370894973, -1.00700480494, -0.404707073677, 0.800482325044,
0.743500089861, 1.01090520172, 0.741527555207, 0.277841675195,
0.400833448236, -0.2085993586, -0.172842103641, -0.134316096293,
0.0259303398477, 0.490105989562, 0.549391221511, 0.9047198589
]
var a = [1.00000000, -2.77555756e-16, 3.33333333e-01, -1.85037171e-17]
var b = [0.16666667, 0.5, 0.5, 0.16666667 ]
var f = TDF_II_filter(signal, a, b)
say "["
say f.map { "% 0.8f" % _ }.slices(5).map{.join(', ')}.join(",\n")
say "]"
Output:
[
-0.15297399, -0.43525783, -0.13604340, 0.69750333, 0.65644469,
-0.43548245, -1.08923946, -0.53767655, 0.51704999, 1.05224975,
0.96185430, 0.69569009, 0.42435630, 0.19626223, -0.02783512,
-0.21172192, -0.17474556, 0.06925841, 0.38544587, 0.65177084
]
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