Super-resolution one-dimensional distance imaging method of step frequency radar
A technology of stepped frequency radar and imaging method, which is applied in the direction of reflection/re-radiation of radio waves, utilization of re-radiation, measurement devices, etc., can solve the problems of difficult selection of observation values, low imaging signal-to-noise ratio, and reduced recovery effect. , to achieve the effect of favorable target detection, low signal-to-noise ratio requirements, and robust noise
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[0032] refer to figure 1 , the specific implementation steps of the present invention are as follows:
[0033] Step 1. Singular value decomposition (SVD) is performed on the echo data X mixed by the stepped frequency radar to obtain three different matrices:
[0034] [U,L,V]=svd(X),
[0035] Among them, the echo data X is an N×M dimensional complex matrix, N is the number of stepping pulses, M is the number of sampling points for each pulse repetition period, svd( ) means singular value decomposition, U is an N×N dimensional square matrix, L is an N×M dimensional diagonal matrix, and V is an M×M dimensional unitary matrix.
[0036] Step 2. Construct the data selection matrix D according to the number of targets k, and use the data selection matrix D, echo data X and unitary matrix V to obtain the observed value Y:
[0037] Y=XVD,
[0038] Wherein, data selection matrix D=[I k Z] T , I k is a k-dimensional unit matrix, Z is a k×(M-k) dimensional zero matrix, and T is a ...
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