Method for detecting underwater acoustic leading signal based on energy concentration under sparse channel
An energy-concentrated, sparse-channel technology, applied in communication channel monitoring, transmission systems, electrical components, etc., can solve problems such as unsatisfactory detection performance, mismatched templates, complex threshold values, etc., and achieve ideal detection performance and good detection performance , the effect of strong robustness
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example 1
[0130] Simulation example 1 (additive white Gaussian noise)
[0131] 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.
[0132] 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, and the technology of the present invention, that is, the detection technology of energy concentration (EC), obviously shows better detection performance than MF. .
example 2
[0133] Simulation example 2 (narrowband interference)
[0134] 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:
[0135]
[0136] 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.
[0137] 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. Although there is no normalization process, the technology of the present invention comprehensively considers the influence of multiple main paths on the basis of effectively improving the signal-...
example 3
[0138] Simulation example 3 (short-term band-limited interference)
[0139] 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 .
[0140] 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:
[0141]
[0142] where c l As the base coefficient, the corresponding passband signal can be parameterized as
[0143] 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 freque...
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