Hyperstable polyphase adaptive IIR filters
نویسندگان
چکیده
This work considers the implementation of recursive identification algorithms based on hyperstability concepts with polyphase structures. It is shown that the SPR condition required for convergence of these schemes can always be met by using a sufficiently high polyphase expansion factor M . For a given M , the degree of persistent excitation required for parameter convergence is obtained. When a priori knowledge about the unknown system is available, a compensating filter can be designed to avoid the need for a high M .
منابع مشابه
New Subband Adaptive IIR Filter Based On Polyphase Decomposition
Abstract—We present a subband adaptive infinite-impulse response (IIR) filtering method, which is based on a polyphase decomposition of IIR filter. Motivated by the fact that the polyphase structure has benefits in terms of convergence rate and stability, we introduce the polyphase decomposition to subband IIR filtering, i.e., in each subband high order IIR filter is decomposed into polyphase I...
متن کاملHyperstable adaptive IIR algorithms with polyphase structures: analysis and design
We consider adaptive identification algorithms based on hyperstability concepts with polyphase structures. The SPR condition required for convergence of these schemes can be always met by using a sufficiently high polyphase expansion factor M: The degree of persistent excitation required for parameter convergence is obtained. If some a priori knowledge about the system to identify is available,...
متن کاملPolyphase IIR filter banks for subband adaptive echo cancellation applications
Polyphase IIR structures are known to be very attractive for very high performance filters that can be designed using very few coefficients. This combined with their reduced sensitivity to coefficient quantization in comparison to standard FIR and IIR structures makes them very applicable to very fast filtering especially when implemented in fixed point arithmetic. In this paper we suggest repl...
متن کاملAdaptive acoustic echo cancellation based on FIR and IIR filter banks
In this paper we investigate various subband AEC systems in real handsfree situation, including FIR and IIR analysis and synthesis QMF filterbanks in polyphase structure. The adaptation in the subbands is performed by the Affine Projection Algorithm in comparison to the NLMS algorithm. The IIR filters are superior to FIR filters in the sense that they lead to low signal delay and sharp frequenc...
متن کاملAdaptive periodic IIR filters
We consider adaptive periodic IIR ltering and present an extension of the Hyperstable Adaptive Recursive Filter (HARF). We give conditions for convergence of the parameter estimate error, involving passivity of certain operators in the identi cation loop, identi ability of the system parameters, and persistent excitation (pe). A necessary and su cient condition for identi ability is given and s...
متن کامل