Signal angle-of-arrival high-precision estimation method under high sampling 1 bit quantification conditions
A technology of bit quantization and high sampling, applied in the field of spatial spectrum estimation, can solve the problems of small sampling amount and inaccurate acquisition of autocorrelation matrix, and achieve the effect of easy implementation.
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[0094] Step 1: There are M=20 array elements, which only accept a snapshot signal y, the noise variance is 0.01, and the signal-to-noise ratio is 16.99db, and the threshold Tr is set as a random value between the maximum value and the minimum value of the received signal . Assuming that the direction of arrival of the signal element is -20°, -40°, y is obtained by 1-bit sampling and quantization in formula (3).
[0095] Step 2: Establish a sparse representation model with p-norm as the sparse constraint item and insensitive ε-SVR on angle estimation:
[0096]
[0097] (·) n,r and(·) n,i represent the real and imaginary parts of the nth component of , respectively,
[0098] Step 3: Solve the non-convex optimization model based on the Alternating Direction Multiplier Method (ADMM), find the sparse representation coefficient, and determine the direction of arrival of the signal by the sparse representation coefficient.
[0099] According to ADMM, the auxiliary variable t...
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