Broadband signal super-resolution direction finding method and broadband signal super-resolution direction finding device based on sparse reconstruction in continuous domain
A wideband signal and sparse reconstruction technology, which is applied to measuring devices, direction finders using electromagnetic waves, direction finders using radio waves, etc., can solve the problems of low estimation accuracy and slow implementation speed of broadband signal super-resolution direction finding , to achieve good application prospects and value, parallel processing, high precision, and fast calculation speed
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specific Embodiment approach 1
[0026] Specific implementation mode 1. Combination figure 1 and figure 2 Describe this embodiment, the wideband signal super-resolution direction finding method realized by sparse reconstruction in the continuous domain described in this embodiment, the specific steps of this method are:
[0027] Step 1: Use a broadband uniform linear array composed of M broadband omnidirectional array elements to receive N far-field broadband signals s n(t), obtaining the output signal y(t) of the antenna array; n=1,2,...,N, wherein M and N are positive integers;
[0028] Step 2: For N far-field broadband signals s n (t) perform weighted summation to obtain the weighted sum s(t) of the far-field broadband signal, perform Fourier transform on the weighted sum s(t) of the far-field broadband signal, and obtain the frequency domain signal x(f k );
[0029] Step 3. Perform Fourier transform on the array output signal y(t) obtained in step 1 to obtain the frequency domain signal Y(f k ), fre...
specific Embodiment approach 2
[0036] Specific embodiment 2. This embodiment is a further description of the broadband signal super-resolution direction finding method realized by sparse reconstruction in the continuous domain described in specific embodiment 1. In this embodiment: step 1 obtains the output signal y( The expression of t), with one array element as the phase reference point:
[0037] y ( t ) = y 1 ( t ) . . . y m ( t ) ...
specific Embodiment approach 3
[0041] Specific embodiment three. This embodiment is a further description of the broadband signal super-resolution direction finding method implemented by sparse reconstruction in the continuous domain described in specific embodiment one. In this embodiment: the far-field broadband signal weighting described in step two and s(t) and its frequency domain signal x(f k )for:
[0042] s ( t ) = Σ n = 1 N s n ( t ) δ τ [ n ] - - - ( 3 )
[0043] x ( f ...
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