An Application of Myriad M-Estimator for Robust Weighted Averaging

The method of signal averaging is such technique that allows the repeated or periodic waveforms which are contaminated by noise to be enhanced. The most often used operation for averaging is the arithmetic averaging and its different variations. Unfortunately the mean operator is sensitive for outliers. In this work the well known myriad M-estimator is applied for averaging. The myriad weighted averaging allows to suppress the impulsive type of noise. In order to evaluate the proposed method, artificial impulsive noise is generated with using the symmetric a-stable distributions. The impulsive noise component is added to the deterministic signal with known value of geometric signal-to-noise ratio (GSNR) which is equivalent of ordinary SNR. The experiments show usefulness of the proposed method for weighted averaging of periodic signals like ECG signal.