Co-prime array underdetermined direction-finding method based on atomic norm

• Main Authors: PAN BAICAO, PAN YUJIAN, GAO XIAOXIN, YAO MIN, LUO GUOQING
• Format: Patent
• Language: Chinese; English
• Published: 28.02.2020
• Subjects: ANALOGOUS ARRANGEMENTS USING OTHER WAVES; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION ORRERADIATION OF RADIO WAVES; MEASURING; PHYSICS; RADIO DIRECTION-FINDING; RADIO NAVIGATION; TESTING

The invention discloses a co-prime array underdetermined direction-finding method based on an atomic norm. The method comprises the following steps: firstly, constructing receiving end antennas according to a co-prime array; performing modeling according to an array receiving signal; calculating an output signal of the virtual array; initializing an interpolation output signal; designing an optimization method based on an atomic norm to recover an interpolation output signal; reconstructing a virtual uniform linear array signal covariance matrix after interpolation; and estimating the direction of arrival according to the reconstructed covariance matrix. According to the method, the discontinuous virtual linear array of the co-prime array is interpolated into the virtual uniformity array through interpolation, so the degree of freedom and array element information of the co-prime array are fully utilized; when a virtual array output signal is obtained by vectorizing a covariance matrix, the signals at the sam