3 research outputs found
Trellis Coded Modulation for Two-User Unequal-Rate Gaussian MAC
In this paper, code pairs based on trellis coded modulation are proposed over
PSK signal sets for a two-user Gaussian multiple access channel. In order to
provide unique decodability property to the receiver and to maximally enlarge
the constellation constrained (CC) capacity region, a relative angle of
rotation is introduced between the signal sets. Subsequently, the structure of
the \textit{sum alphabet} of two PSK signal sets is exploited to prove that
Ungerboeck labelling on the trellis of each user maximizes the guaranteed
minimum squared Euclidean distance, in the \textit{sum
trellis}. Hence, such a labelling scheme can be used systematically to
construct trellis code pairs for a two-user GMAC to approach \emph{any rate
pair} within the capacity region.Comment: 7 pages, 5 figure
Orthogonal vs Non-Orthogonal Multiple Access with Finite Input Alphabet and Finite Bandwidth
For a two-user Gaussian multiple access channel (GMAC), frequency division
multiple access (FDMA), a well known orthogonal-multiple-access (O-MA) scheme
has been preferred to non-orthogonal-multiple-access (NO-MA) schemes since FDMA
can achieve the sum-capacity of the channel with only single-user decoding
complexity [\emph{Chapter 14, Elements of Information Theory by Cover and
Thomas}]. However, with finite alphabets, in this paper, we show that NO-MA is
better than O-MA for a two-user GMAC. We plot the constellation constrained
(CC) capacity regions of a two-user GMAC with FDMA and time division multiple
access (TDMA) and compare them with the CC capacity regions with trellis coded
multiple access (TCMA), a recently introduced NO-MA scheme. Unlike the Gaussian
alphabets case, it is shown that the CC capacity region with FDMA is strictly
contained inside the CC capacity region with TCMA. In particular, for a given
bandwidth, the gap between the CC capacity regions with TCMA and FDMA is shown
to increase with the increase in the average power constraint. Also, for a
given power constraint, the gap between the CC capacity regions with TCMA and
FDMA is shown to decrease with the increase in the bandwidth. Hence, for finite
alphabets, a NO-MA scheme such as TCMA is better than the well known O-MAC
schemes, FDMA and TDMA which makes NO-MA schemes worth pursuing in practice for
a two-user GMAC.Comment: 7 pages, 10 figure
Trellis Coded Modulation for Two-User Unequal-Rate Gaussian MAC
Abstract β In this paper, code pairs based on trellis coded modulation are proposed over PSK signal sets for a two-user Gaussian multiple access channel. In order to provide unique decodability property to the receiver and to maximally enlarge the constellation constrained (CC) capacity region, a relative angle of rotation is introduced between the signal sets. Subsequently, the structure of the sum alphabet of two PSK signal sets is exploited to prove that Ungerboeck labelling on the trellis of each user maximizes the guaranteed minimum squared Euclidean distance, d 2 g,min in the sum trellis. Hence, such a labelling scheme can be used systematically to construct trellis code pairs for a two-user GMAC to approach any rate pair within the capacity region. I. INTRODUCTION AND PRELIMINARIES Works on coding for Gaussian multiple access channel with finite complex alphabets have been reported in [1]