Index codes for the Gaussian broadcast channel using quadrature amplitude modulation

Lakshmi Natarajan, Yi Hong, Emanuele Viterbo

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)

Abstract

We propose index codes, based on multidimensional QAM constellations, for the Gaussian broadcast channel, where every receiver demands all the messages from the source. The efficiency with which an index code exploits receiver side information in this broadcast channel is characterised by a code design metric called side information gain. The known index codes for this broadcast channel enjoy large side information gains, but do not encode all the source messages at the same rate, and do not admit message sizes that are powers of two. The index codes proposed in this letter, which are based on linear codes over integer rings, overcome both these drawbacks and yet provide large values of side information gain. With the aid of a computer search, we obtain QAM index codes for encoding up to 5 messages with message sizes 2m,m ≤ 6. We also present the simulated performance of a new 16QAM index code, concatenated with an off-the-shelf
LDPC code, which is observed to operate within 4.3 dB of the broadcast channel capacity.
Original languageEnglish
Pages (from-to)1291 - 1294
Number of pages4
JournalIEEE Communications Letters
Volume19
Issue number8
DOIs
Publication statusPublished - 2015

Keywords

  • Codes over rings
  • Gaussian broadcast
  • index coding
  • quadrature amplitude modulation
  • side information

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