Publications [#336639] of Vahid Tarokh

Papers Published

1. Soloveychik, I; Xiang, Y; Tarokh, V, Symmetric Pseudo-Random Matrices, Ieee Transactions on Information Theory, vol. 64 no. 4 (April, 2018), pp. 3179-3196, Institute of Electrical and Electronics Engineers (IEEE) [doi]
   (last updated on 2023/06/01)

   Abstract:
   We consider the problem of generating symmetric pseudo-random sign (±1) matrices based on the similarity of their spectra to Wigner's semicircular law. Using binary m-sequences (Golomb sequences) of lengths n=2m-1 , we give a simple explicit construction of circulant n × n sign matrices and show that their spectra converge to the semicircular law when n grows. The Kolmogorov complexity of the proposed matrices equals to that of Golomb sequences and is at most 2log2(n) bits.