CPC H04B 7/0854 (2013.01) [H04B 7/0456 (2013.01)] | 8 Claims |
1. A method for designing a low-complexity linear minimum mean squared error (LMMSE) and zero-forcing (ZF) receivers for a multiple input multiple output reduced cyclic prefix orthogonal time frequency space (MIMO-RCP-OTFS) system, the method comprising:
determining, using a hardware processor, a received signal (r) and a structure of LMMSE filter (Ψ) using a MIMO-OTFS channel (H);
reordering, using the hardware processor, the LMMSE filter (Ψ) to reduce a bandwidth of the LMMSE filter (Ψ), wherein the reordering of the LMMSE filter (Ψ) is performed using a reverse Cuthil-mckee technique, and wherein the reverse Cuthil-mckee technique determines a permutation operation (P) to reorder the LMMSE filter (Ψ);
determining, using the hardware processor, a low-complexity inverse operation (G−1=U−1L−1) of an operation G based on the LMMSE filter (Ψ) and the permutation operation (P) and with a transpose of the permutation operation (PT) using a Cholskey decomposition technique, wherein L is a lower triangular banded representation of the operation G with the bandwidth (Bw), and wherein U is an upper triangular banded representation of the operation G with the bandwidth (Bw);
determining, using the hardware processor, LMMSE/ZF equalized signal (rce) based on the low complexity inverse operation and a processed signal (r=Pr) using forward substitution technique and backward substitution technique, wherein a signal r is determined based on the MIMO-OTFS channel (H) and the received signal r;
reordering, using the hardware processor, the LMMSE/ZF equalized signal (rce) to determine a first signal (y), wherein the first signal (y) is determined based on the transpose of the permutation operation (PT) and the LMMSE/ZF equalized signal (rce); and
determining, using the hardware processor, a low-complexity LMMSE/ZF estimate of a data signal (d) that represents the low-complexity LMMSE/ZF receivers based on unitary function (B) and the first signal (y),
wherein the designing of the LMMSE/ZF receivers comprises a combination of Minimum Mean Squared Error (MMSE) equalization technique and Orthogonal time frequency space (OTFS) matched filtering technique.
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