Array signal processing method including frequency and direction joint estimation
A technology of joint estimation and processing methods, applied in positioning, measuring devices, instruments, etc., can solve problems such as ESPRIT performance degradation, and achieve the effect of overcoming performance degradation, improving signal-to-noise ratio, and increasing operating distance.
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[0050] Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:
[0051] Describe in detail the concrete operation steps of the present invention below:
[0052] Step 1: A receiving array composed of 20 hydrophones, with an element spacing of 0.75 meters, receives signal and noise data from space, expressed as x(k)=s(k)+n(k), where s(k )=[s 1 (k),s 2 (k),...,s M (k)] T is the signal received by the array, and the signal received by the mth array element is denoted as s m (k)=A m sin[2πf(k-1) / f s +φ m ]+v m (k), A m 4v, φ m is 0rad, f s is 8000Hz, f is 1000Hz, v m The variance of (k) is 0.001. n(k)=[n 1 (k),n 2 (k),...,n M (k)] T is the Gaussian white noise received by the array, and the covariance matrix is Q n . The time length of receiving data is 12.5s, and the number of sampling points is 100000;
[0053] Step 2: Construct the state equation, expressed as:
[0054] K Ts (k+1)=B(f)[K Ts (k)-v(k)]+v(k...
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