LFM-PC signal and ambiguity function optimization method thereof
A technology of LFM-PC and ambiguity function, applied in the direction of radio wave reflection/re-radiation, using re-radiation, measuring devices, etc., can solve the problem of the reduction of the main-side lobe ratio of the filter output signal, the high-peak side-lobe of the waveform, and the research results Not many problems, to achieve the effect of increasing Doppler tolerance, good anti-interference performance, and Doppler tolerance
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[0039] like figure 1 Shown, a kind of LFM-PC signal and its ambiguity function optimization method, comprise the following steps:
[0040] (1) The LFM-PC signal is obtained by modulating the LFM signal with the phase-encoded signal, and in the time domain, the two signals are directly multiplied; according to the definition of the ambiguity function, the ambiguity function χ of the LFM-PC signal u (τ,ξ) is
[0041]
[0042] Among them, τ is time, ξ is Doppler frequency, u PC (t) is the phase encoding signal, K=B L / T p is the FM slope, B L , T p are the bandwidth and duration of the LFM signal respectively; P is the code length, is the value of the nth sub-pulse, is a rectangular pulse p k (t) and p l The mutual ambiguity function of (t) can be expressed as:
[0043]
[0044] In the formula, t b is the sub-pulse width, and T p = Pt b ,
[0045] (2) Introduce vector and the sub-pulse mutual ambiguity function matrix H, where ψ is a 1×P-dimensional ve...
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