This paper presents a new approach to designing the necessary decimation filter in over-sampled noise shaping analogue to digital converters. These filters are still finite impulse response designs but they are designed using novel window functions that produce a stop-band attenuation that increases with frequency thus matching the out of band noise characteristics of the noise-shaping modulator. As a result high quality decimation filters can be realised using shorter filter lengths.
https://www.aes.org/e-lib/browse.cfm?elib=15881
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