Time difference estimation method using frequency spectrum principal component
A technology of time difference estimation and principal component, which is applied to measurement devices, radio wave measurement systems, instruments, etc., can solve problems such as low data transmission volume, and achieve the effect of reducing data volume
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[0029] In this example, the number of frequencies received by signal receiving stations 1 and 2 is set to L=32, the interval between adjacent frequency points is δ=5kHz, and the inverse Fourier transform length is N=16384; signal receiving stations 1 and 2 receive The 32-dimensional spectrum vector of the signal is x 1 、x 2 ; The time difference vector is T represents the vector transpose; the inverse Fourier transform matrix of order N×N is F, and the m row and n column elements are m=1,2,...,M, n=1,2,...,N; the time difference between signal receiving station 2 and signal receiving station 1 is -1.6582 microseconds.
[0030] In the case that the signal-to-noise ratio of the signal receiving station 1 and 2 is 14.0dB, the time difference between the signal receiving station 2 and the signal receiving station 1 determined by using the 32-dimensional spectrum vector through the correlation processing of the two signals is estimated to be 80% The error is less than 71.3 nan...
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