Underwater acoustic leading signal detection method based on accumulative correlation coefficient (ACC) under sparse channel
A technology of correlation coefficient and preamble signal, applied in transmission systems, transmission channel monitoring, electrical components, etc., can solve problems such as template mismatch, performance deterioration, and unsatisfactory detection performance, and achieve strong robustness, good detection performance, The effect of ideal detection performance
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example 1
[0129] Simulation example 1 (additive white Gaussian noise)
[0130] Gaussian noise with time-varying variance can be expressed as where N(0,σ 2 ) means the mean is 0 and the variance is σ 2 The normal distribution of . Underwater environmental noise is non-stationary, and the non-stationarity of environmental noise poses a challenge for the detector to choose an appropriate threshold.
[0131] This example compares the performance of different detectors with additive white Gaussian noise. attached figure 2 Shown is the simulated ROC curve at SNR=-13dB, and the expansion gain of the HFM waveform is set to 27dB. Under the simulation conditions, the detection performance of MF is better than that of NMF and MF-PT. Obviously, because of the accumulation of multiple main paths, the technology of the present invention, that is, the cumulative correlation coefficient (ACC) detection method has better detection performance than MF.
example 2
[0132] Simulation example 2 (narrowband interference)
[0133] Narrowband interference is usually of long duration and band limited, in special cases it has only one tone, in common cases it has multiple tones and is expressed as:
[0134]
[0135] where f nb [i],A nb [i], φ nb [i] represent the frequency, amplitude, and phase offset of the i-th tone, respectively. Typically, narrowband interference has a longer duration than the pilot signal.
[0136] In this example, the narrowband interferer is a 13.5KHz single tone signal that covers the entire block duration and has three times the power of the preamble. From attached image 3 It can be seen that under narrow-band interference, PT exhibits better detection performance than MF, NMF given its effective normalization step. The accumulative correlation coefficient (ACC) detection technique of the present invention is obviously superior to the above matched filter-based detectors because of the integration of energy n...
example 3
[0137] Simulation example 3 (short-term band-limited interference)
[0138] Short-term band-limited interference, band-limited interference frequency band range [f L , f H ] limited and within the signal frequency band, short-term means that the duration of the interference is shorter than that of the preamble signal. The interference may also be waveforms transmitted by nearby systems for other purposes. Define the interference bandwidth as B 1 = f H -f L , the interference duration is T 1 .
[0139] Without loss of generality, suppose N 1 = [B 1 T 1 ] is an even number. Transfer the interference to the baseband [-B / 2,B / 2), and the baseband signal is expressed as:
[0140]
[0141] where c l As the base coefficient, the corresponding passband signal can be parameterized as
[0142] The short-term band-limited interference in this example is obtained by passing Gaussian white noise with a fixed duration of 33.3ms through a band-pass filter with a center frequ...
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