Underwater acoustic signal denoising method based on self-adaptive window filtering and wavelet threshold optimization
An adaptive window, underwater acoustic signal technology, applied in ultrasonic/acoustic/infrasonic transmission systems, character and pattern recognition, speech analysis, etc. problems such as small values, to achieve the effect of balancing the filtering performance and computational complexity, suppressing non-Gaussian impulse noise, and improving the suppression ability
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Embodiment 1
[0143] see figure 1 As shown, the underwater acoustic signal denoising method based on AWFM+GDES under a Gaussian / non-Gaussian impulse noise environment described in this embodiment includes the following steps:
[0144] S1: Combine SαS distribution and normal distribution model to describe Gaussian / non-Gaussian impulse noise in the underwater acoustic channel; the specific steps are as follows:
[0145] S1-1: Signal receiving model:
[0146] For the single-transmission and single-reception underwater acoustic communication system, the time-domain signal y(t) received by the receiving end is expressed in digital form, and expressed as a set of discrete samples:
[0147] y(i)=s(i)+e(i), i=1,2,...,N
[0148] where s(i) is the noise-free desired signal with random amplitude and phase; e(i) is the additive ocean background noise; N is the number of samples;
[0149] S1-2: Gaussian / non-Gaussian impulse noise model:
[0150] The probability density function of the instantaneous ...
Embodiment 2
[0257] Embodiment 2: comparative analysis of simulation test results
[0258] In this embodiment, common underwater acoustic communication signals such as 2FSK, QPSK, and 16QAM signals are regarded as SOI, and additive Gaussian white noise and non-Gaussian impulse noise are combined into underwater acoustic noise to verify the performance of the present invention. Wherein the present invention is recorded as AWFM+GDES; The computer configuration used in simulation is: Intel i5-4570 processor, Windows 7 operating system, 4G internal memory, MATLAB R2015b.
[0259] The output SNR is defined as follows:
[0260]
[0261] The noise suppression ratio (NSR) is defined as follows:
[0262]
[0263] Among them, s(i) and are the expected signal and the estimated signal, respectively; and are the mean values of the expected signal and the estimated signal, respectively, and N is the length of the signal.
[0264] Figure 5 The curves of output SNR versus input SNR after...
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