Table 2. Filter coefficients for the C-weighting filter.
a[0] | (16 ω4′) + (16 ω1′) + (4 ω1′ 2) + (16 ω4′ . ω1′) + (4 ω4′ . ω1′ 2) + (ω4′ 2 . ω1′ 2) + (4 ω4′ 2) + 16 + (4 ω4′ 2 . ω 1′) |
a[1] | (8 ω4′ 2) – 32 + (6 ω4′ 2 . ω1′ 2) + (32 ω4′ . ω1′) + (16 ω4′ . ω1′ 2) + (8 ω1′ 2) + (16 ω4′ 2 . ω1′) |
a[2] | –16 + (20 ω4′ . ω1′ 2) – (48 ω4′) – (4 ω4′ 2) – (4 ω1′ 2) + (15 ω4′ 2 . ω1′ 2) – (48 ω1′) + (20 ω4′ 2 . ω1′) – (16 ω4′ . ω1′) |
a[3] | 64 – (16 ω1′ 2) – (64 ω4′ . ω1′) + (20 ω4′ 2 . ω1′ 2) – (16 ω4′ 2) |
a[4] | –(4 ω1′ 2) + (15 ω4′ 2 . ω1′ 2) – (4 ω4′ 2) + (48 ω1′) – (16 ω4′ . ω1′) – (20 ω4′ . ω1′ 2) – 16 – (20 ω4′ 2 . ω1′) + (48 ω4′) |
a[5] | (8 ω4′ 2) – (16 ω4′ 2 . ω1′) + (8 ω1′ 2) + (32 ω4′ . ω1′) – (16 ω4′ . ω1′ 2) + (6 ω4′ 2 . ω1′ 2) – 32 |
a[6] | –(4 ω4′ . ω1′ 2) + (16 ω4′ . ω1′) + (ω4′ 2 . ω1′ 2) – (4 ω4′ 2 . ω1′) + 16 – (16 ω1′) – (16 ω4′) + (4 ω4′ 2) + (4 ω1′ 2) |
b[0] | 4 ω4′ 2 |
b[1] | 8 ω4′ 2 |
b[2] | –4 ω4′ 2 |
b[3] | –16 ω4′ 2 |
b[4] | –4 ω4′ 2 |
b[5] | 8 ω4′ 2 |
b[6] | 4 ω4′ 2 |
GC | 10(–0.062/20) |
The normalization constant, GC, is used to provide 0 dB gain at 1 kHz.