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An adaptive ARMA four-line lattice filter for spectral estimation with frequency weighting

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3 Author(s)
M. Haseyama ; Res. Inst. for Electron. Sci., Hokkaido Univ., Japan ; N. Nagai ; N. Miki

A method for designing an adaptive four-line lattice filter which can perform frequency-weighting spectral estimation, which provides more accurate spectral estimation for some frequency bands than for others, is proposed. Using a suitable frequency-weighting function, denoted as an ARMA (autoregressive moving-average) model, an estimated spectrum is obtained by arbitrarily weighing some frequency bands more heavily than others. if the frequency-weighting function has the property of a low-pass filter, the spectrum of the reference model can be estimated accurately with a reduced ARMA order in the low-frequency band. Spectra of time-varying models can be estimated with an exponentially weighted sliding window, and the input signal of the reference model can be estimated by assumption. The order-update and the time-update recursive formulas and the frequency-weighting method for the filter are described. The algorithm is verified by experimental results

Published in:

IEEE Transactions on Signal Processing  (Volume:41 ,  Issue: 6 )