Time-delay measurement method for pulsar cumulative pulse profile using sparse representation
A technique of accumulating pulses and time delays, which is applied in the field of signal processing, can solve problems such as inability to achieve sparse representation effects, poor sparse representation effects, etc., achieve high accumulative pulse profile time delay measurement accuracy, small amount of calculation, and improve navigation accuracy Effect
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[0027] refer to figure 1 , the specific implementation steps of the present invention are as follows:
[0028] Step 1. Enter the phase interval as m 0 The standard pulse profile of the standard pulse profile is sampled to construct a waveform matching redundancy dictionary D.
[0029] (1a) Let the standard pulse profile s(k),k=0,...,m 0 The phase corresponding to s(0) in -1 is i=0;
[0030] (1b) With the standard pulse profile s(k),k=0,...,m 0 The point corresponding to phase i in -1 is the starting point, and the sampling rate is Sampling the standard pulse profile at the sampling frequency to obtain m sampling points, namely
[0031]
[0032] (1c) Let i=i+1, repeat step (1b) until i=m 0 , the waveform matching redundancy dictionary is obtained as:
[0033]
[0034] Among them, i=0,1,2,…,m 0-1, k=0,1,2,...,m-1.
[0035] Step 2. A greedy optimization algorithm is used to calculate the first-order sparse coefficient vector of the measured pulse profile under the...
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