Lattice Sphere Decoding for Data Transmission Systems with Special Channel Matrices

Abstract

This paper presents the effects of condition number ( $$\tau $$ ? ) in communication system performance. It has been shown that a small condition number ( $$\tau $$ ? ) results a better performance. The proposed scheme is using special kind of matrices with Lattice Sphere Decoding (LSD) technique for Block Data Transmission Systems (BDTS). Hankel and Toeplitz matrices are used separately as a channel matrix (H) while circulant matrix is used in the previous works. The proposed scheme reduced the condition number ( $$\tau $$ ? ) and, therefore, improve the system performance. As a result; LSD-based BDTS with Toeplitz/Hankel matrix outperforms the LSD-based BDTS with circulant matrix. Complexity analysis is also done which based on lattice dimension and initial radius selection.