Assisted signals based mode decomposition

This paper proposes the bi-dimensional assisted signals based mode decomposition (ASMD). First, we investigate how ASMD behaves in images out of the aspects: the frequencies, the amplitudes and the crossed-angles of the assisted signals and the images. Based on the above analysis, the instructive conclusions that what assisted signals are optimal are obtained. Second, based on the obtained conclusions and the local extrema, the construction of rational assisted signals is explored to decompose the images other existent methods fail to decompose. ASMD shows the advantages in decomposition accuracy, time-cost and robustness over other BEMD methods. Finally, the experiments are shown to verify the efficiency of ASMD.