Multilevel Coding Scheme for Integer-Forcing MIMO Receivers With Binary Codes

Lattice-Reduction-Aided and Integer-Forcing Equalization

“…Meanwhile, a huge number of papers dealing with various aspects of IF equalization were published. In particular, the calculation of the receiver frontend and the code construction are of interest, see, e.g., [92,103,23,116,92,42,137,11], to name only a few. Thereby, the fundamental difference between the LRA and IF philosophy is often blurred.…”

Modulus Zero-Forcing Detection for MIMO Channels

“…Other than the existing approaches [1], as the transmitted symbols are drawn from finite alphabets such as quadrature-amplitude-modulation (QAM) and pulse-amplitude-modulation (PAM) symbols, the modulus can also be used in MIMO detection for improving the detection performance. The modulus operation has been used in Tomlinson-Harashima precoding (THP) [7], [8] as suboptimal approximation for dirty-paper coding (DPC) [9], and recently it has also be considered in the designs of integer-forcing (IF) receives for MIMO channles [13], [15], [16].…”

“…Besides, when higher-oder modulations such as M -PAM are used, designing lattice code over Z M is challenging [14]. Simpler IF receivers dealing with linear binary codes such as turbo and LDPC are proposed in [15], [16], and the designs follow the same as in [13]. One disadvantage of the IF receivers in [13], [16] is that, each transmit antenna needs a separate encoding/decoding process, which is not the case in practical LTE systems where one codeword is split among transmit-antennas.…”

“…One disadvantage of the IF receivers in [13], [16] is that, each transmit antenna needs a separate encoding/decoding process, which is not the case in practical LTE systems where one codeword is split among transmit-antennas. Moreover, the IF design in [15] needs a separate encoding/decoding process per transmit antenna and per bit-layer in higher-order modulations. Another advantage is that, the receiver has to detect the linear combinations of codewords for all transmit-antennas first, followed by a matrix inversion (over a finite-field) process to recover the original codeword on each layer.…”

Low-Complexity Integer-Forcing Methods for Block Fading MIMO Multiple-Access Channels

“…Digital Object Identifier: 10.14209/jcis.2017. 14 Recent works on IF include the design of practical channel codes compatible with IF [6], [7], efficient methods to select the coefficients of the integer linear combinations [8], [9], as well as its application to relay networks [10]. Moreover, the IF principle has been used not only as receive method in the MIMO uplink scenario, but also for precoding in the MIMO downlink scenario [11], [12] and even for source coding [13].…”