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Authors
Damian Marelli

Identifier
10.3182/20060329-3-AU-2901.00059

Index Terms
time-frequency representation,system identification

Abstract
The subband method allows either identifying or approximating a linear system in the time-frequency domain, with high numerical efficiency. In this paper we propose a functional analysis setting to analyze the subband technique, which yields the following results: (a) We provide an analytical expression to calculate the best subband approximation of a given fullband system. (b) We provide a novel identification strategy which consists in identifying a "low quality" subband model and using it to build the required system model. This identification strategy is computationally more efficient and yields smaller residual errors, when compared with the existing methods.

References

[1] Gilloire, Andre and Martin Vetterlli (1992). Adaptive
     filtering in subbands with critical sampling:
    analysis, experiments, and application to acoustic
    echo cancellation. IEEE Transactions on Signal
    Processing 40(8), 1862-1875.
[2] Hirayama, N., H. Sakai and S. Miyagi (1999).
    Delayless subband adaptive filtering using the
    hadamard transform. IEEE Transactions on Signal
     Processing 47(6), 1731-1734.
[3] Lu, Youhong and Joel Morris (1999). Gabor expansion
     for adaptive echo cancellation. IEEE Signal
    Processing Magazine 16(2), 68-80.
[4] Marelli, Damián (n.d.). A functional analysis approach
     to subband system approximation and
    identification. Submitted to IEEE Transactions
    on Signal Processing.
[5] Merched, R., P. S. R. Diniz and M. R. Petraglia (1999).
    A new delayless subband adaptive filter structure.
     IEEE Transactions on Signal Processing
    47(6), 1580-1591.
[6] Morgan, D. R. and J. C. Thi (1995). A delayless sub-band
     adaptive filter architecture. IEEE Transactions
     on Signal Processing 43(8), 1819-1830.
[7] Vaidyanathan, P. P. (1993). Multirate Systems and Filterbanks
    . Prentice Hall. Englewood Cliffs, N.J.