Rotationally invariant trellis-coded modulations with multidimensional M-PSK

Wei, Lee-Fang

doi:10.1109/49.44572

Cited by 48 publications

(8 citation statements)

References 12 publications

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“…The desirable features of multi-dimensional QAM-type constellations are reviewed and developed in [44]. It is also shown that rotationally invariant trellis codes, which resolves ambiguity in carrier phase in conjunction with differential encoding, are more easily available with multi-dimensional constellations [42,43] than with two-dimensional constellations [40] for which the use of non-linear encoders is necessary.…”

Section: Design Of Trellis Coded Modulationmentioning

confidence: 99%

Coded Modulation

Isaka

2014

Academic Press Library in Mobile and Wireless Communications

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Section: Design Of Trellis Coded Modulationmentioning

confidence: 99%

Coded Modulation

Isaka

2014

Academic Press Library in Mobile and Wireless Communications

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“…It seems that rotational invariance is easier to obtain with multidimensional signal constellations than with 2D ones [5,6,[14][15][16]. A study of Wei functions is given in Reference [18].…”

Section: Introductionmentioning

confidence: 99%

“…Wei introduced bijective functions defined on the set of states of the encoder in order to design rotationally invariant TCM schemes [4][5][6]; therefore, we call such functions by his name. The importance of the trellis section for the rotational invariance was also recognized in Reference [7].…”

Section: Introductionmentioning

confidence: 99%

On designing fully rotationally invariant trellis-coded modulation using Wei functions

Sterian

2005

Eur. Trans. Telecomm.

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SUMMARYA desirable property trellis-coded modulation (TCM) should have the invariance to rotations of the signal constellation by symmetry angles. Two methods are known to provide rotational invariance: one is that of the parity-check equation and other is that of bijective functions defined on the set of states of the sequence encoder. Whilst both approaches express different facets of the same reality, we emphasize in this letter the greater usefulness of the second one and demonstrate fully rotationally invariant TCM for 2D 16-phase shift keying (PSK) using an algebraic group of 16 bijective functions, which seems not possible to design otherwise, since a rate 3/4 parity-check equation is not mathematically tractable. The design methodology, we demonstrate, is general and does not exclude combining the two methods when performing computer searches for good TCM codes.

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“…The first land mobile radio system 231 designed for broadcasting messages to police vehicles was 232 installed in 1928, while in 1933 a two-way mobile radio 233 voice system was introduced by the Bayonne New Jersey 234 Police Department. Naturally, these early mobile radio 235 transceivers used power-hungry valves, since the transistor 236 was not invented until 1947. 237 …”

mentioning

confidence: 99%