Multi-dimensional fast acquisition method and system for satellite signals
A satellite signal and fast technology, applied in the field of satellite applications, can solve the problems of limited frequency offset detection range, extended processing time, and high hardware implementation complexity of satellite signal acquisition algorithms, achieving a large detectable frequency offset range and small processing delay , the effect of simple structure
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[0067] Below in conjunction with accompanying drawing of description, the present invention will be further described.
[0068] figure 1 The principle block diagram of the traditional FFT-based acquisition method is given. Considering the periodicity of the spreading code and the repetition of the spreading code within an information symbol, the correlation operation of the signal can be equivalent to a circular convolution, and its mathematical The expression is as follows:
[0069] The circular cross-correlation function between all correlation values in a spreading code period and two sequences a and b of length N is:
[0070]
[0071] In the formula, b'=(b(-n)) N , which can be obtained by taking the main value sequence after periodic extension and reversal of the sequence b.
[0072] And the circular convolution of sequence a and sequence b is:
[0073]
[0074] Let the Fourier transforms of sequences a(n) and b(n) be X a (k) and X b (k), namely:
[0075] x...
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