The theory and performance of adaptive discrete cosine transform filters for feedback active noise control (ANC) is examined. The discrete cosine transform filter is a realization of an FIR filter as the cascade of an all-zero FIR filter with a bank of IIR digital resonators. The result of such a realization is that each of the IIR resonators has a magnitude coefficient and a phase coefficient. Thus, each coefficient can be directly identified with an amplitude or phase of the transfer function at a particular frequency when run as an adaptive filter. The discrete cosine transform filter is used in a filter-X LMS implementation of a feedback active noise control system that uses a single error microphone and a single loudspeaker.
Index Terms:
active noise control; adaptive discrete cosine transform filters; feedback active noise control; discrete cosine transform filter; FIR filter; all-zero FIR filter; IIR digital resonators bank; magnitude coefficient; phase coefficient; transfer function; frequency; adaptive filter; filter-X LMS implementation; single error microphone; single loudspeaker
Citation:
G. Coutu, M. Dignan, "Adaptive discrete cosine transform for feedback active noise control," asilomar, pp.459, 29th Asilomar Conference on Signals, Systems and Computers (2-Volume Set), 1995
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