L2-orthogonal Space-time Code Design for Continuous Phase Modulation

Download or read book L2-orthogonal Space-time Code Design for Continuous Phase Modulation written by Matthias Hesse and published by . This book was released on 2010 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal Space-Time block codes (STBC) have been a popular way to implement wireless communications systems with full diversity and simple decoupled maximum-likelihood decoding. However, all these codes rely on pointwise orthogonality which leads to a well-known degradation of data rate for more than two antennas. In this thesis, we introduce the concept of L2-orthogonality for non-linear Space-Time codes (STC). Our approach generalizes code design based on pointwise orthogonality. Hence, we are able to derive new codes with the same advantages as pointwise orthogonal STBC, i.e. low decoding complexity and diversity gain. At the same time, we are no longer limited by the restrictions of pointwise orthogonal codes, namely the reduction in data rate. Actually, we show how to construct full rate codes for any arbitrary number of transmit antennas. More precisely, a family of codes for continuous phase modulation (CPM) is detailed. The L2-orthogonality of these codes is ensured by a bank of phase correction functions which maintains the phase continuity but also introduces frequency offsets. We prove that these codes achieve full diversity and have full rate. Moreover, these codes don't put any restriction on the CPM parameters.