Digital Filter Design Solutions

Chapter 5: Band-Pass Filters

The band-pass filters provided herein have been put into four groups, namely those with normalized bandwidths of 0.05, 0.1, 0.2, and 0.3. Given the large filter orders required to achieve a relatively narrow edge transition, filter lengths corresponding to L+1 = 33 and 55 have been left out of many groups for practical reasons.

5.1 FILTER TERMINOLOGY

5.1.1 Identifiers

The identifiers found at the top of the page take on a slightly different format in comparison to previous listings. In this case, it is given by


where BPF stands for band pass filter, nn represents the length of the filter, C stands for center frequency, m.m is its value, W stands for filter width measured at the cut-on and cut-off ?6 dB points, and p.p the value of the width. So for example, BPF255C0.35W0.2 is the name of a 255-tap, band-pass filter, whose normalized center frequency is 0.35 and whose width at half height is 0.2 (normalized frequency units). Note that all band pass filters designed as discussed in Chapter 2 are symmetric about the center frequency with identical edge transition widths. Moreover, the ?6 dB width W is guaranteed in each filter. The normalized bandwidth W is easily converted to its corresponding working frequency w (Hz) by multiplying the former with the Nyquist frequency (Hz).

5.1.2 Band-Pass Filter Quantization

For the band-pass filters given in the following pages, the conversion formula from floating-point precision to B-bit word representation is...

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