Adaptive System Identication Based on All Pass/Minimum Phase System Decomposition 1
In this paper we present a novel adaptive IIR digital lter composed of a cascade of an all-pass lter and a minimum- phase lter. The coecien ts of the lter are updated in such a way as to achieve minimum mean-squared error between the output of the unknown system and the output of the digital lter. Computer simulation veries that the digital lter coecien ts converge to the unknown system coecien ts in the case where the system is com- posed of a cascade of all-pass section and minimum phase section. Keywords | system identication, adaptive lters.
An adaptive IIR digital filter based on estimation of allpass and minimum-phase system
In this paper, a new infinite impulse response (IIR) adaptive digital filter (ADF) which is composed of a cascade block of allpass system and a block of minimum-phase system connected in series is proposed. The allpass section is implemented using a series connection of second order allpass systems, while the minimum phase system has all its poles at the origin. The coefficients are updated using a simplified version of the LMS algorithm. By considering the unknown system to be having the same structure as that of the adaptive digital filter, it is proven that the poles of the ADF converges to the poles of the unknown system when the input is a stationary white signal. Computer simulation confirms our analysis.
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