C. Antweiler et M. Antweiler, SYSTEM-IDENTIFICATION WITH PERFECT SEQUENCES BASED ON THE NLMS ALGORITHM, AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 49(3), 1995, pp. 129-134
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Journal title
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
The problem of measuring the impulse response of an unknown linear tra
nsmission system has been studied within many papers. One approach for
the identification problem represents the so called fast M-sequence t
ransform, where a binary periodic maximal-length sequence is used as e
xcitation signal for the unknown system. This identification process b
ases on the cross correlation between one period of the maximal-length
sequence and its received system response. In this paper an alternati
ve to several existing approaches is proposed by using a periodic perf
ect sequence stimulus signal for the normalized least mean square (NLM
S) algorithm. In contrast to the normally used stochastic white noise
process with this deterministic excitation signal the NLMS algorithm i
s capable to identify a linear noiseless system within one period. Sev
eral theoretical aspects of this technique will be discussed. Consider
ing that in many applications such as acoustic echo compensation, acou
stic feedback control or active noise reduction the NLMS algorithm is
applied, the practical point of view of the proposed method becomes ap
parent.