Design and Performance Analysis of a New Class of Rate Compatible Serial Concatenated Convolutional Codes

In this paper, we provide a performance analysis of a new class of serial concatenated convolutional codes (SCCC) where the inner encoder can be punctured beyond the unitary rate. The puncturing of the inner encoder is not limited to inner coded bits, but extended to systematic bits. Moreover, it is split into two different puncturings, in correspondence with inner code systematic bits and parity bits. We derive the analytical upper bounds to the error probability of this particular code structure and address suitable design guidelines for the inner code puncturing patterns. We show that the percentile of systematic and parity bits to be deleted strongly depends on the SNR region of interest. In particular, to lower the error floor it is advantageous to put more puncturing on inner systematic bits. Furthermore, we show that puncturing of inner systematic bits should be interleaver dependent. Based on these considerations, we derive design guidelines to obtain well-performing rate-compatible SCCC families. Throughout the paper, the performance of the proposed codes are compared with analytical bounds, and with the performance of PCCC and SCCC proposed in the literature. Index Terms This work has been partially funded by MEC under JdC contract. The material in this paper was presented in part at the IEEE International Symposium on Information Theory, Adelaide, Australia, September 2005. A. Graell i Amat is with the Department of Electronics, Politecnico di Torino, 10129 Torino, Italy, and with the Department of Technology, Universitat Pompeu Fabra, 30100 Barcelona, Spain. (e-mail: [email protected]). G. Montorsi is with the Department of Electronics, Politecnico di Torino, 10129 Torino, Italy. (e-mail: [email protected]). F. Vatta is with DEEI, Università di Trieste, 34127 Trieste, Italy. (e-mail: [email protected]). February 1, 2008 DRAFT A. GRAELL I AMAT, G. MONTORSI, F. VATTA. DRAFT SUBMITTED TO IEEE TRANSACTIONS ON COMMUNICATIONS 2 Serial concatenated convolutional codes, iterative decoding, rate-compatible codes, Turbo codes, performance bounds.