Estimates for the growth of inverse determinant sums of quasi-orthogonal and number field lattices

Abstract

Inverse determinant sums appear naturally as a tool for analyzing performance of space-time codes in Rayleigh fading channels. This work will analyze the growth of inverse determinant sums of a family of quasi-orthogonal codes and will show that the growths are in logarithmic class. This is considerably lower than that of comparable number field codes.

arXiv commentThis is an extended and corrected version of R. Vehkalahti and L. Luzzi,"Measuring the growth of inverse determinants sums of a family of quasi-orthogonal codes", which appeared in proc. IZS 2014