Noise elimination based on moving average by Guassian distribution weighting method

A new noise elimination method - moving average by Gaussian distribution weighting method - was proposed in this literature. Chirp signal with Gaussian noise, chirp signal with Gaussian noise and impulsive noise, and actual measured signal have been employed to demonstrate the effectiveness of the new method. By using the method, the first step is to determine the window radius which was determined by defined correlation coefficient for measured signal, then assuming the data in the window complying Gaussian distribution to calculate the weighting factors, finally calculate the weighting average value as the new updated value.