A new full-diversity criterion and low-complexity STBCs with Partial Interference Cancellation decoding

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.

On Space-Frequency Code Design with Partial Interference Cancellation Group Decoding

“…It is seen that h D and Z D is obtained from h in (3) and Z in (7) after some row permutations, respectively. In order to decode the independent symbols in s (say s is linearly embedded in the SFC C), the models in (8) can be rewritten as an equivalent signal model…”

“…Then, similar to the criteria for STBC for MIMO systems obtained in [6]- [8], with the formulations in (8)-(12) it is not hard for us to have the following criteria for SFC for MIMO-OFDM systems with the PIC group decoding.…”

“…Partial interference cancellation (PIC) group decoding in [6] [7] is one of promising solutions in that it has a flexible decoding complexity and can be viewed as an intermediate decoding between zero-forcing and ML decoding. For an STBC to achieve full diversity with the PIC group decoding, the code design criterion was firstly proposed in [6] [7] and later an equivalent criterion was proposed in [8]. Based on the design criterion, the designs of full diversity STBC with PIC group decoding were developed in [8]- [13] for MIMO flat fading channels.…”

“…For an STBC to achieve full diversity with the PIC group decoding, the code design criterion was firstly proposed in [6] [7] and later an equivalent criterion was proposed in [8]. Based on the design criterion, the designs of full diversity STBC with PIC group decoding were developed in [8]- [13] for MIMO flat fading channels. However, the following question still remains open: how to design a code achieving full diversity with PIC group decoding over MIMO frequency-selective channels.…”

“…Then, two design criteria of SFC are proposed to obtain full diversity with the PIC group decoding in MIMO-OFDM systems similar to that in [6]- [8] for MIMO systems. With the proposed new criteria, a systematic SFC is constructed for any number of transmit antennas M t and delay paths L for a particular grouping scheme.…”