Geometrically Uniform TCM Codes over Groups Based on Multidimensional 4-PSK and 8-PSK Signals
نویسندگان
چکیده
Abs t i-ac t The thc ory o f geometracally unaform (CL') sagnal constellat i ons arid lanear codes over groups is applzed t o the case of mdtadtmensaonal PSK szgnals. T h e tables of GU pnrtations of multidamensaonal PSI( constellataons recently f ound an [l] arc used to construct good GU codes over nonbznary abelann groups ?$'e consader Lx4PSK and LxBPSh' constellaticins used to t ransmi t cnformalzon rates of I and 2 bats pe7 sagnaling znterval, rtspectavely, and present a systematar cons truc twe procedure t o search f o r good codes over generating groups ( Z 4 ) L and (Z8)L. Rotataonal anvaraance condztanns for the codes are easaly incorporated anto Ihe search nlgorathm. I n some cases, the codes found amprooe over tht, codes known so f a r Moreover, the geometrical uniformaty of codes allows a aery easy per formance evaluataon, so that we also present a set of rurups of error event probability f o r some selected {odes .
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