ML Decoding Complexity Reduction in STBCs Using Time-Orthogonal Pulse Shaping

TL;DR

This paper introduces a method using Time-Orthogonal Pulse Shaping (TOPS) to reduce decoding complexity in Space-Time Block Codes (STBCs), leveraging waveform design to enable multi-group decodability and lower ML decoding effort.

Contribution

It proposes a novel application of TOPS to partition STBCs into P groups, significantly reducing decoding complexity for various well-known codes.

Findings

Decoding complexity of STBCs can be greatly reduced using TOPS.

P-group decodability is achieved for STBCs with weight matrices partitioned into P subsets.

Application of TOPS improves decoding efficiency in practical STBC systems.

Abstract

Motivated by the recent developments in the Space Shift Keying (SSK) and Spatial Modulation (SM) systems which employ Time-Orthogonal Pulse Shaping (TOPS) filters to achieve transmit diversity gains, we propose TOPS for Space-Time Block Codes (STBC). We show that any STBC whose set of weight matrices partitions into P subsets under the equivalence relation termed as Common Support Relation can be made P -group decodable by properly employing TOPS waveforms across space and time. Furthermore, by considering some of the well known STBCs in the literature we show that the order of their Maximum Likelihood decoding complexity can be greatly reduced by the application of TOPS.