A New Full-diversity Criterion and Low-complexity STBCs with Partial Interference Cancellation Decoding

TL;DR

This paper introduces new, easier-to-verify conditions for full diversity in STBCs with PIC and PIC-SIC decoding, enabling the construction of low-complexity, full-diversity codes including Toeplitz and other recent codes.

Contribution

It provides alternative, simplified criteria for full diversity in STBCs with PIC/PIC-SIC decoding and constructs new low-complexity codes based on these criteria.

Findings

New criteria for full diversity are easier to verify.

Constructed a new class of full-diversity PIC-SIC decodable codes.

Reduced decoding complexity for existing PIC-SIC codes without losing diversity.

Abstract

Recently, Guo and Xia gave sufficient conditions for an STBC to achieve full diversity when a PIC (Partial Interference Cancellation) or a PIC-SIC (PIC with Successive Interference Cancellation) decoder is used at the receiver. In this paper, we give alternative conditions for an STBC to achieve full diversity with PIC and PIC-SIC decoders, which are equivalent to Guo and Xia's conditions, but are much easier to check. Using these conditions, we construct a new class of full diversity PIC-SIC decodable codes, which contain the Toeplitz codes and a family of codes recently proposed by Zhang, Xu et. al. as proper subclasses. With the help of the new criteria, we also show that a class of PIC-SIC decodable codes recently proposed by Zhang, Shi et. al. can be decoded with much lower complexity than what is reported, without compromising on full diversity.