Adaptive IIR Band-Pass/Band-Stop Filtering Using High-Order Transfer Function and Frequency Transformation

Received April 24, 2013; final version accepted October 22, 2013This paper proposes a new unified framework for the adaptive IIR band-pass/band-stop filtering for detectionand enhancement/suppression of an unknown narrowband signal immersed in a broadband signal. In most of theconventional methods, which are well-known as the adaptive notch filtering, the adaptive band-pass/band-stopfilter is restricted to a low-order transfer function. On the other hand, our proposed method can be applied toarbitrary high-order band-pass/band-stop transfer functions in a simple manner. We derive this simple adaptivemechanism with the help of the frequency transformation and its block diagram representation. In addition, weprove that this result includes the conventional all-pass-based adaptive notch filters as special cases. Moreover, wedemonstrate a significant property that the use of high-order adaptive band-pass/band-stop filters yields muchbetter signal-to-noise ratio (SNR) improvement than the conventional low-order filters.KEYWORDS: signal processing, adaptive digital filtering, narrowband signal, high-order transferfunction, frequency transformation

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