Broadband signal sparse representation direction-of-arrival estimation method based on focusing transformation

The invention discloses a broadband signal sparse representation direction-of-arrival estimation method based on focusing transformation, which comprises the following steps of: firstly, according to a direction of arrival from a far-field broadband signal to a receiving array, an array arrangement structure of array elements in the receiving array and a sub-band division condition of a receiving filter bank, calculating an echo signal of each sub-band of the receiving array; selecting a reference frequency point, and calculating a focusing matrix of each sub-band; focusing the array receiving data of each sub-band to the reference frequency and calculating a focused array covariance matrix; performing characteristic decomposition on the focused array covariance matrix, and establishing a weighted subspace fitting-based broadband signal sparse representation direction-of-arrival estimation model; and finally, converting the model into a second-order cone programming form for solving to obtain a broadband sign