FWT Fast Correlation Detection Method for Composite Sequence Based on FPGA
A technology of correlation detection and compound sequence, applied in transmission systems, electrical components, etc., can solve the problem of large amount of sequence calculation, and achieve the effect of saving storage resources, good versatility, and fast calculation speed
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[0039] The present invention is described in detail below in conjunction with the accompanying drawings: as shown in the accompanying drawings,
[0040] (1) FWT realizes the correlation operation of m-series
[0041] sequence for length L=2 n -1 n-order m sequence, the periodic correlation function is as in formula (1), P is a cyclic shift matrix, A is a cyclic shift matrix of sequence a, and A is converted into matrix B according to formula (4), and matrix B is determined according to a certain After regular mapping, matrix B is obtained h , by the matrix B h According to the formula (5), the Hada code matrix H is obtained. Since the Walsh transform arranged according to the Hada code has a fast algorithm, the m-sequence periodic correlation function of the formula (1) can be obtained by the fast Walsh-Haada code transformation.
[0042] R m (j)=a(aP j ) T (1)
[0043]
[0044]
[0045]
[0046] H=[1 B h ] (5)
[0047] In the discrete case, the Walsh-Haad...
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