Estimation method of angle of arrival angle of coprime array based on fourth-order cumulant
A direction of arrival and array technology, applied in the field of signal processing, can solve the problems of waste of reconnaissance and positioning resources, inability to estimate signals, and the number of signals cannot meet practical applications, and achieve the effect of improving array utilization and increasing the number of signal sources.
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example 1
[0066] Simulation example 1. Constructing a double-layer coprime array structure.
[0067] First, use the first uniform linear array a and the second uniform linear array b to form a first-layer coprime array, set N=2, M=3, the first uniform linear array a contains 3 array elements, and the array element spacing is 2d , the second uniform linear array b contains 3 array elements, the array element spacing is 3d, and the first array element of the first uniform linear array a is placed at the 0d position;
[0068] Next, calculate the virtual array element number A=2MN+1=13 of the first-layer coprime array formed by the first uniform linear array a and the second uniform linear array b;
[0069] Then, use the third uniform linear array c and the fourth uniform linear array f to form a second-layer coprime array, set P=2, Q=3, the third uniform linear array c contains 2 array elements, and the array element spacing is PA =26d, the fourth uniform linear array f contains 3 array e...
example 2
[0072] Simulation example 2, calculates all virtual array elements of the double-layer coprime array according to the fourth-order cumulant.
[0073] Let the position of the first-layer coprime array formed by the first uniform linear array a and the second uniform linear array b be [0, 2, 3, 4, 6, 9]d;
[0074] Let the position of the second-layer coprime array formed by the third uniform linear array c and the fourth uniform linear array f be [26, 39, 52, 78, 117]d;
[0075] It is calculated that the virtual array formed by each array element of the first-layer coprime array and each array element of the second-layer coprime array is [26, 28, 29, 30, 32, 35]d, [39, 41, 42, 43, 45, 48]d, [52, 54, 55, 56, 58, 61]d, [78, 80, 81, 82, 84, 87]d, [117, 119, 120, 121, 123 , 126]d;
[0076] According to the method and principle of the fourth-order cumulant calculation, the virtual arrays are used to generate all the final virtual array elements, and the results are shown in Table 1...
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