Based on the obtained white noise estimates by fitting the higher order autoregressive (AR) model by using the recursive least squares (RLS) method, a modified recursive extended least squares method for parameter estimation of autoregressive moving average models (ARMA) is presented.

Application of dyadic wavelet transform in diesel fault diagnosis

The four-level center B-spline semi-orthogonal dyadic wavelet was used to identify the singular points of the faulty current,and the theoretical support is analyzed.

The property and algorithm of dyadic wavelet function and dyadic wavelet transform basing on B spline are introduced.

Dirivatives of cardinal B－splines are proved to be dyadic wavelets.

In this paper, we use Mallat algorithm to calculate dyadic Marr wavelet transforms, analyse the relationship between singularity of the signal (the peak of R wave) and local maximal value of WT s from the view of equivalent wavelet filter, discuss the performance distinction between quadratic differential wavelet and single differential wavelet for singularity detection.

Methods We use Mallat algorithm to calculate dyadic Marr wavelet transforms, analyse the relationship between singularity of the signal(the peak of R wave) and local maximal value of WT s from the view of equivalent wavelet filter and discuss the performance distinction between quadratic differential wavelet and single differential wav.

In this paper, Mallat algorithm based on dyadic Marr wavelet transforms was used to multi-resolution analysis on the signal, and mathematical morphology operation was used to clarify the signal s peaks and valleys.