8 PSK (Phase Shift Keying) rotationally invariant turbo trellis coded modulation without parallel transitions. A novel approach of coding 8 PSK symbols such that they are rotationally invariant employs precoding and encoding according to Turbo Trellis Coded Modulation (TTCM). Together, the preceding and TTCM encoding operate cooperatively to provide rotational invariance of the 8 PSK symbols. These 8 PSK symbols are mapped to constellation points within an 8 PSK constellation. A permutated mapping of the 8 PSK constellation is also employed that describes an approximate 90 degree rotation of the 8 PSK constellation mapping. In addition, the precoding employs an induced precoder mapping that corresponds to the approximate 90 degree rotation of the mapping of the 8 PSK constellation. Moreover, the branches of the trellis employed within the TTCM encoding may undergo an appropriately modified mapping to accommodate the 90 degree rotation of the 8 PSK constellation mapping as well.
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