A Robust Adaptive Notch Filter for Broadband Signal and Its Application

A Robust Frequency Sampling Adaptive Notch Filter for Broadband Signals

“…Equation is approximated by polynomial expansion, which requires numerous adaptive parameters. This problem is solved to some extent in the ANFF that uses recursive calculation of the impulse response of the exponential filter directly from . However, such an ANFF is implemented in the time domain.…”

“…To solve the problem of bias errors, ANFs with a homomorphically extended all‐pass transfer function have been proposed . These adaptive filters are theoretically robust considering the symmetry of the autocorrelation function of broadband signals.…”

“…In this paper, in an attempt to reduce the number of adaptive parameters (the tap gains of the digital filter that are to be changed with every update) of the ANFF described in Refs. , we investigate an ANF in which the transversal filter is replaced by a frequency sampling filter. The ANF is a broadband filter, and is therefore easier to implement in the frequency domain than in the time domain.…”

A Noise‐Free Adaptive Transversal Notch Filter Using the SSCF Algorithm with Decorrelation Parameter

“…Many fields require elimination or enhancement of narrowband signals (sinusoidal signals) included in broadband signals. For instance, this includes the elimination of narrowband signals from electrocardiograms or image signals , enhancement of audio signals in noise , vibration absorption such as that in the heads of hard discs , noise elimination , and the detection of earthquake warning signs . An adaptive notch filter is an adaptive narrow stop‐band filter used to realize the above objectives, and such filters can be broadly divided into infinite impulse response (IIR) and finite impulse response (FIR) types.…”