Linear frequency-modulated parameter estimating method and implementing device thereof
A linear frequency modulation signal and parameter estimation technology, applied in frequency measurement devices, spectrum analysis/Fourier analysis, etc., can solve the problems that the position of the peak spectral line deviates from the real position, the amount of calculation increases in series, and it is unfavorable for engineering implementation. Achieve the effects of improving estimation accuracy, fast speed, and strong anti-noise ability
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[0055] 1. Principle of LFM signal parameter estimation based on Radon transform:
[0056] Firstly, the mathematical model of the ideal infinitely long LFM signal is given
[0057] s(t)=a 0 exp[jπ(2f 0 t+μ 0 t 2 )], -∞≤t≤∞ (7)
[0058] where a 0 , f 0 and μ 0 are unknown parameters, which respectively represent the amplitude, center frequency and modulation frequency of the signal, among which the center frequency and modulation frequency are the parameters that are more concerned in engineering practice. According to the definition, the expression of ambiguity function (AF) of signal s(t) is
[0059] AF s ( τ , ξ ) = ∫ - ∞ + ∞ s ( t + τ / 2 ) ...
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