Impulsive Noise Suppression Using Fast Myriad Filter in Seismic Signal Processing

Myriad filter is widely used in impulsive noise suppressing, however, computing the high order filter polynomial effectively is still a big problem. This paper proposed a fast myriad filter computing method to speed computation. Compared with the classical myriad filter, the proposed method was much easier and simpler. The proposed fast myriad filter, was applied in impulsive noise corrupted seismic signal de-noising case, suppressed the noise and recovered the desired seismic signal effectively. And the estimated error of the fast myriad filter approached zero, it meant that the output of the proposed method was very close to the output of classical myriad filter. The experimental results verify the effectiveness of the proposed myriad filter.

I. Introduction

Noise elimination is a fundamental problem in signal processing. Classical signal processing has been dominated by the assumption of Gaussian model. However, a large number of real-world processes such as underwater acoustic noise[1], seismic signal[2] and communication signal[3] etc., are impulsive in nature and are better described by heavy tailed non-Gaussian stable distributions. In recent years, there has been considerable interest in the development of robust techniques for signal processing, based on heavy tailed non-Gaussian stable distributions for the signal statistics [4]–[6].