Effects of Puncturing Patterns on Punctured Convolutional Codes
Lydia Sari
Abstract
Punctured convolutional codes are known to have low complexity compared to their non-punctured counterpart, while retaining a good performance. Analyzing the performance of punctured convolutional code can be simplified by using non-punctured equivalent code. In this paper new punctured convolutional codes with rates of 3/8, 3/7 and 3/6 are proposed, and their performances are studied by first constructing non-punctured equivalent codes. Simulations results show that different puncturing patterns will affect the code performances. Further investigations show that puncturing adjacent bits is to be avoided as it tends to degrade the code performance, as indicated by a decrease of the free distance by 9% and 33% below average for code rates 3/7 and 3/6 respectively. On the contrary, dispersed punctured bits will yield good code performance as indicated in the increase of the free distance by 27% and 32.45% above average for code rates 3/7 and 3/6 respectively.
Li J, Kurtas E. Punctured Convolutional Code Revisited: The Exact State Diagram and Its Implications. The 38thAsilomar Conference on Signals, Systems and Computers. Pacific Grove. 2004;2: 2015-2019.
Proakis JG. Digital Communications. Singapore: McGraw-Hill International. 2008.
Hagenauer J. Rate-Compatible Punctured Convolutional Codes (RCPC Codes) and Their Applications. IEEE Transaction on Communications. 1988; 36(4): 389-400.
Li J, Alqamzi H. An Optimal Distributed and Adaptive Source Coding Strategy Using Rate-Compatible Punctured Convolutional Codes. IEEE Conference of Acoustics, Speech and Signal Processing (ICASSP ’05). Philadelphia. 2005; 5:685-688.
Guo R, Zhou P, Liu J. BER Performance Analysis of RCPC Encoded MIMO-OFDM in Nakagami-m Channels. International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM ’06). Wuhan. 2006; 1-4.
Noh Y, Lee H, Lee I. Design of Unequal Error Protection for MIMO-OFDM. IEEE 61st Vehicular Technology Conference. Stockholm. 2005; 2:1058-1062.
Lee LHC. New Rate-Compatible Punctured Convolutional Codes for Viterbi Decoding. IEEE Transactions on Communications. 1994; COM-42: 3073-3079.
Lee LHC, Sodha J. More New Rate-Compatible Punctured Convolutional Codes for Viterbi Decoding. Proc. 5th Workshop on Telecommunication & Signal Processing. Hobart. 2006.
Cluzeau M. Reconstruction of Punctured Convolutional Codes. Proc. IEEE Information Theory Workshop (ITW 09). 2009: 75-79.
Sari, L. Studi Penggunaan Kode Konvolusional Ekivalen Untuk Representasi Kode Konvolusional Punctured. Jurnal Elektro Universitas Atma Jaya. 2010; 3(2): 139-148 (in Indonesian).
