摘要

In this letter, we construct a class of deterministic measurement matrices which are asymptotically optimal. For this purpose, we first apply the tensor product over the Reed Solomon (R-S) generator matrix to produce a new one; then employing this generator matrix, we construct a measurement matrix. If the R-S code is defined on F-q, then the resulting measurement matrices are of dimensions q(2) x q(3), where q is an arbitrary prime power and its coherence would be 1/q, which is desirable for compressive sampling. We also illustrate the effectiveness of our proposed matrices in compressed sensing with some simulation examples.

  • 出版日期2014-7