Multi-scale edge detection in the EMD domain using the adaptive noise threshold

A multi-scale edge detection in the EMD domain using the median absolute deviation to estimate the noise threshold is proposed to detect the edges of noisy signals with different signal to noise ratios. The new algorithm first calculates the slope of the EMD residuals in scales. Second it eliminates the noise in the slope signal by thresholding, the noise threshold of which is estimated by the median absolute deviation. At last, it output the edge information by the spatial consistence test. Simulation results show that, the multi-scale edge detection in the EMD domain using the adaptive noise threshold can accurately detect the edges of signals, and suppress the noise.