Sliding Window Evaluation of the Wiener-Hopf Equation

Abstract

This paper presents an efficient method for solving the Wiener-Hopf equation in a sliding window by calculating the correlation matrices recursively. Furthermore, a novel algorithm is introduced for evaluating the inverse of the auto-correlation matrix - the Recursion with Splitting the Correlation matrix into 4 Blocks for Inversion - which can significantly reduce the computational requirements. The presented procedure is optimized for special cases to achieve an efficient implementation which allows faster rel-time signal processing or to reduce the response time - e.g. the latency -- by distributing the computations over the time. The proposed method is also validated through numerical simulations and hardware implementation.

Keywords

• adaptive filtering
• sliding window wiener filter
• wiener-hopf equation
• recursive matrix inversion
• rsc4bi
• swf