基于EMD-CS的脉冲星周期超快速估计

In the Compressed Sensing (CS) for X-ray pulsar period estimation, the large size of measurement matrix leads to a large amount of calculation. To solve this problem, an ultra-fast pulsar period estimation method based on Empirical Mode Decomposition-Compressed Sensing (EMD-CS ) is proposed. The pulse profiles of multi-distortions are decomposed by EMD to obtain a series of Intrinsic Mode Functions (IMF). As the IMFs contain local characteristic signals at different time scales, the weak local features of the pulse profile distortion can be reflected in some IMFs. The iteration and elimination method is used to eliminate redundant IMFs, and the remaining IMFs form the measurement matrix. Due to the small number of IMFs, the sampling rate is greatly reduced. By using the EMD-CS method, we can realize ultra-fast period estimation of X-ray pulsars. From the results of calculation complexity analysis, we can know that the sampling rate is proportional to the amount of calculation. The simulation results show that the sampling rate of EMD-CS is 0.25%, which is only 1/29 of FFT-CS. Thus, the calculation amount of EMD-CS is smaller than that of FFT-CS.