Abstract

Ternary trellis coded modulation (TTCM) is introduced. This combines triangular signal constellations with ternary convolutional codes. The performance of TTCM is presented and compared with binary trellis coded modulation (BTCM) which employs square quadrature amplitude modulation (SQAM) and binary convolutional coding. Ternary set partitioning (TSP) is used for TTCM, and binary-to-ternary conversion is determined that is suitable for TTCM. A construction for <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula> -ary triangular QAM (TQAM) which is compatible with TSP is presented. The performance of BTCM is compared with that of TTCM.

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