Title :
Nonlinear rotationally invariant trellis codes for multidimensional modulation
Author :
Ji, Tingfang ; An, Ping ; Kwatra, Subhash C.
Author_Institution :
Dept. of Electr. Eng., Michigan Univ., Ann Arbor, MI, USA
fDate :
10/1/1997 12:00:00 AM
Abstract :
The concept of a general nonlinear parity-check equation was first proposed by Pietrobon et al. who used them to construct rotationally invariant trellis codes for two dimensional signal sets. This paper applies this technique to trellis-coded modulation (TCM) codes with multidimensional MPSK and MQAM constellations to construct nonlinear phase rotationally invariant multi-D codes. Based on this construction technique, a series of the best fully phase rotationally invariant multi-D trellis codes for a variety of signal constellations is obtained through a systematic code search program. The code search results show that most codes achieve the same asymptotic coding gain as the best linear, but nonphase rotationally invariant codes found by Pietrobon et al
Keywords :
phase shift keying; quadrature amplitude modulation; trellis coded modulation; MPSK; MQAM; asymptotic coding gain; general nonlinear parity-check equation; multidimensional modulation; nonlinear rotationally invariant trellis codes; signal constellations; two dimensional signal sets; Constellation diagram; Convolutional codes; Modulation coding; Multidimensional systems; Nonlinear equations; Parity check codes; Phase modulation; Quadrature amplitude modulation; Signal mapping; Two dimensional displays;
Journal_Title :
Communications, IEEE Transactions on