《A New Approach to Active Noise and Vibration Control-Part II The Unknown Frequency Case 》.pdf
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IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 57, NO. 9, SEPTEMBER 2009 3387
A New Approach to Active Noise and Vibration
Control—Part II: The Unknown Frequency Case
´
Maciej Niedzwiecki, Member, IEEE, and Michał Meller, Student Member, IEEE
Abstract— This paper presents a new approach to rejection of LMS (FXLMS) compensation, internal model principle, or
complex-valued sinusoidal disturbances acting at the output of a phase-locked loop—for references see [4]. Methodological
discrete-time stable linear plant with unknown and possibly time- aspects aside, the proposed solutions differ in the assumptions
varying dynamics. It is assumed that both the instantaneous fre-
quency of the sinusoidal disturbance and its amplitude may be made about the controlled plant and sinusoidal disturbance.
slowly varying with time and that the output signal is contami- The most important design premises are those concerning the
nated with wideband measurement noise. It is not assumed that a following:
reference signal, correlated with the disturbance, is available. The • known/unknown/time-varying plant dynamics;
proposed disturbance rejection algorithm is an extension of the al- • known/unknown/time-varying amplitude of the distur-
gorithm derived for the constant-known-frequency case, described
bance;
in Part I of this paper.
• known/unknown/time-varying frequency of the distur-
Index Terms—Adaptive filtering, disturbance rejection, sys
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