An efficient algorithm to calculate BICM capacity

G. Bocherer, F. Altenbach, A. Alvarado, S. Corroy, R. Mathar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)


Bit-interleaved coded modulation (BICM) is a practical approach for reliable communication over the AWGN channel in the bandwidth limited regime. For a signal point constellation with 2m points, BICM labels the signal points with bit strings of length m and then treats these m bits separately both at the transmitter and the receiver. BICM capacity is defined as the maximum of a certain achievable rate. Maximization has to be done over the probability mass functions (pmf) of the bits. This is a non-convex optimization problem. So far, the optimal bit pmfs were determined via exhaustive search, which is of exponential complexity in m. In this work, an algorithm called bit-alternating convex concave method (Bacm) is developed. This algorithm calculates BICM capacity with a complexity that scales approximately as m3. The algorithm iteratively applies convex optimization techniques. Bacm is used to calculate BICM capacity of 4,8, 16, 32, and 64-PAM in AWGN. For PAM constellations with more than 8 points, the presented values are the first results known in the literature.
Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory (ISIT)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Electronic)978-1-4673-2579-0
ISBN (Print)978-1-4673-2580-6
Publication statusPublished - Jul 2012
Event2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, USA
Duration: 1 Jul 20126 Jul 2012


Conference2012 IEEE International Symposium on Information Theory, ISIT 2012
Abbreviated titleISIT 2012


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