Yaqi Mi
Beijing University of Posts and Telecommunications, China
Title: A new matrix operation in compressed sensing
Biography
Biography: Yaqi Mi
Abstract
In this speech, we propose a new matrix operation called P-tensor product (PTP) and apply it to compressed sensing (CS), the new model of CS is named PTP-CS. In order to break the restrictions of the traditional matrix multiplication, the PTP makes the dimension of two matrices matching by Kronecker product. Aiming at the large storage of the random matrix in CS, the PTP can construct a high-dimension matrix using a matrix, which can be chosen as random matrix or generalized permutation matrix. Similar with the traditional CS, we analyze some reconstruction conditions of the PTP-CS such as the spark, the coherence and the restricted isometry property (RIP). The experimental results demonstrate that our PTP-CS model can not only increase the choice of Kronecker matric and decrease the storage of traditional CS, but also maintain the considerable recovery performance.