|
| 1 | +try: |
| 2 | + from ulab import numpy as np |
| 3 | +except ImportError: |
| 4 | + import numpy as np |
| 5 | + |
| 6 | + |
| 7 | +def lpf(fS, f, N, win=lambda N: 1): |
| 8 | + if not (N & 1): |
| 9 | + raise ValueError("filter length must be odd") |
| 10 | + h = np.sinc(2 * f / fS * (np.arange(N) - (N - 1) / 2)) |
| 11 | + h = h * win(N) |
| 12 | + return h * (1 / np.sum(h)) |
| 13 | + |
| 14 | + |
| 15 | +def hpf(fS, f, N, win=lambda N: 1): |
| 16 | + if not (N & 1): |
| 17 | + raise ValueError("filter length must be odd") |
| 18 | + h = -lpf(fS, f, N) |
| 19 | + h = h * win(N) |
| 20 | + h[(N - 1) // 2] += 1 |
| 21 | + return h |
| 22 | + |
| 23 | + |
| 24 | +def brf(fS, fL, NL, fH, NH, win=lambda N: 1): |
| 25 | + hlpf = lpf(fS, fL, NL, win) |
| 26 | + hhpf = hpf(fS, fH, NH, win) |
| 27 | + |
| 28 | + if NH > NL: |
| 29 | + h = hhpf |
| 30 | + h[(NH - NL) // 2 : (NH - NL) // 2 + NL] += hlpf |
| 31 | + else: |
| 32 | + h = hlpf |
| 33 | + h[(NL - NH) // 2 : (NL - NH) // 2 + NH] += hhpf |
| 34 | + |
| 35 | + return h |
| 36 | + |
| 37 | + |
| 38 | +def bpf(fS, fL, NL, fH, NH, win=lambda N: 1): |
| 39 | + hlpf = lpf(fS, fL, NL, win) |
| 40 | + hhpf = hpf(fS, fH, NH, win) |
| 41 | + return np.convolve(hlpf, hhpf) |
| 42 | + |
| 43 | + |
| 44 | +def blackman(M): |
| 45 | + n = np.arange(1 - M, M, 2) |
| 46 | + return 0.42 + 0.5 * np.cos(np.pi * n / (M - 1)) + 0.08 * np.cos(2.0 * np.pi * n / (M - 1)) |
| 47 | + |
| 48 | + |
| 49 | +def tosynthio(coeffs): |
| 50 | + result = np.array(coeffs * 32767, dtype=np.int16) |
| 51 | + return trim_zeros(result) |
| 52 | + |
| 53 | + |
| 54 | +def trim_zeros(arr): |
| 55 | + i = 0 |
| 56 | + j = len(arr) - 1 |
| 57 | + while i < len(arr) and arr[i] == 0: |
| 58 | + i += 1 |
| 59 | + while j > i and arr[j] == 0: |
| 60 | + j -= 1 |
| 61 | + return arr[i : j + 1] |
| 62 | + |
| 63 | + |
| 64 | +# fiiir.com uses factor 4.6 for blackman window, 0.91 for rectangular |
| 65 | +def ntaps(fS, fB, factor=4.6): |
| 66 | + b = fB / fS |
| 67 | + return round(factor / b) | 1 |
| 68 | + |
| 69 | + |
| 70 | +def LPF(*args, **kw): |
| 71 | + return tosynthio(lpf(*args, **kw)) |
| 72 | + |
| 73 | + |
| 74 | +def HPF(*args, **kw): |
| 75 | + return tosynthio(hpf(*args, **kw)) |
| 76 | + |
| 77 | + |
| 78 | +def BRF(*args, **kw): |
| 79 | + return tosynthio(brf(*args, **kw)) |
| 80 | + |
| 81 | + |
| 82 | +def BPF(*args, **kw): |
| 83 | + return tosynthio(bpf(*args, **kw)) |
| 84 | + |
| 85 | + |
| 86 | +if __name__ == "__main__": |
| 87 | + print("lpf(24000, 2040, 13) # 1920Hz transition window") |
| 88 | + print(list(lpf(24000, 2040, 13))) |
| 89 | + |
| 90 | + print("hpf(24000, 9600, 13) # 960Hz transition window") |
| 91 | + print(list(hpf(24000, 9600, 23))) |
| 92 | + |
| 93 | + print("bpf(24000, 1200, 11, 3960, 15) # 2400Hz, 1600Hz transition windows") |
| 94 | + print(list(bpf(24000, 1200, 11, 3960, 15))) |
| 95 | + |
| 96 | + print("brf(24000, 960, 19, 2400, 13) # 1200, 1800Hz transition windows") |
| 97 | + brf_tst = brf(24000, 960, 19, 2400, 13) |
| 98 | + print(brf_tst) |
| 99 | + |
| 100 | + print("brf(24000, 960, 13, 2400, 19) # 1200, 1800Hz transition windows") |
| 101 | + brf_tst = brf(24000, 960, 13, 2400, 19) |
| 102 | + print(brf_tst) |
| 103 | + |
| 104 | + print("lpf(1, 0.1, 59, blackman) # 1920Hz transition window, blackman") |
| 105 | + print(lpf(1, 0.1, 59, blackman)) |
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