Kd. Benson et Wa. Sethares, MAGNITUDE RESPONSE PEAK DETECTION AND CONTROL USING BALANCED MODEL-REDUCTION AND LEAKAGE TO A TARGET, IEEE transactions on signal processing, 45(10), 1997, pp. 2442-2453
Adaptive filters are often used in systems that need to adjust to unkn
own environments, Communication channels with frequency nulls, signals
that lack energy in a frequency band, and transducers with a finite b
andwidth present special problems since adaptive filters can develop a
large gain at frequencies where excitation is lacking, Such magnitude
response peaks can cause problems if unchecked, This paper suggests a
procedure for detecting and controlling magnitude response peaks that
uses a balanced model reduction technique to form a low-order IIR fil
ter that approximates the performance of the filter, The poles are the
n studied to determine if magnitude response peaks are present. If a p
eak is detected, then ''leakage to a target'' is used to gradually red
uce the peak with minimal effect on the equalizer's response at other
frequencies, Several useful bounds on the equalizer frequency response
magnitude are derived, and the frequency domain behavior of the leaka
ge to a target algorithm is analyzed, A case study is provided.