Paul, Prabal and Pradeep, CR and Rajan, B Sundar (2008) On the PAPR of cosets of linear codes. In: Indian Journal of Pure and Applied Mathematics, 39 (1). pp. 69-86.
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Employing an error control code is one of the techniques to reduce the Peak-to-Average Power Ratio (PAPR) in a Orthogonal Frequency Division Multiplexing system, a well known class of such codes being the cosets of Reed-Muller codes. In this paper, we consider the class of such coset-codes of arbitrary linear codes and present a method of doubling the size of such a code without increasing the PAPR, by combining two such binary coset-codes. We identify the conditions under which we can employ this doubling more than once with no marginal increase in the PAPR value. Given a PAPR and length, our method has enabled to get the best coset-code (in terms of the size). Also, we show that the PAPR information of the coset-codes of the extended codes is obtainable from the PAPR of the corresponding coset-codes of the parent code. We have also shown a special type of lengthening is useful in PAPR studies.
| Item Type: | Journal Article |
|---|---|
| Publication: | Indian Journal of Pure and Applied Mathematics |
| Publisher: | Indian National Science Academy |
| Additional Information: | Copyright of this article belongs to Indian National Science Academy. |
| Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 29 Mar 2010 07:39 |
| Last Modified: | 29 Mar 2010 07:39 |
| URI: | http://eprints.iisc.ac.in/id/eprint/26552 |
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