|
- 2017
M-QAM调制下极化码的构造研究
|
Abstract:
研究了当采用最常用的M-QAM调制时极化码构造的问题。在M-QAM调制时无法确定极化码的码元噪声功率,从而导致无法有效地进行信道极化。针对该问题,对M-QAM调制符号中的每个比特进行了研究,得到所有调制符号对应的比特的变化规律,通过这一规律,可以将高阶调制信道分解为多个平行的并具有固定噪声功率的二进制输入子信道,使得极化码在M-QAM调制下的构造问题变为了常规的二进制输入信道下的构造问题,并以此实现了M-QAM调制时极化码的构造。针对常用的格雷映射下的M-PAM/M-QAM调制进行了设计并仿真,仿真结果显示该构造方法能明显地提升性能。
[1] | ARIKAN E. Channel polarization:a method for constructing capacity-achieveing codes for symmetric binary-input memoryless channels[J]. IEEE Transactions on Information Theory, 2009, 55(7):3051-3073. |
[2] | ARIKAN E, TELATAR E. On the rate of channel polarization[C]//IEEE International Symposium on Information Theory. Seoul:IEEE, 2009:1493-1495. |
[3] | MORI R, TANAKA T. Performance and construction of polar codes on symmetric binary-input memoryless channels[C]//IEEE International Symposium on Information Theory. Seoul:IEEE, 2009:1496-1500. |
[4] | NIU K, CHEN K. Stack decoding of polar codes[J]. Electronics Letters, 2012, 48(12):695-697. |
[5] | RICHARDSON T, URBANKE R. Modern coding theory[M]. Cambridge, England:Cambridge University Press, 2008. |
[6] | MASNICK B, WOLF J. On linear unequal error protection codes[J]. IEEE Transactions on Information Theory, 1967, 4(3):600-607. |
[7] | SEIDL M, SCHENK A, STIERSTORFER C, et al. Polarcoded modulation[J]. IEEE Transactions on Communications, 2013, 61(10):4108-4119. |
[8] | HOF E, SASON I, SHAMAI S, et al. Capacity-achieving polar codes for arbitrarily permuted parallel channels[J]. IEEE Transactions on Information Theory, 2013, 59(3):1505-1516. |
[9] | CHEN K, NIU K, LIN J R. Practical polar code construction over parallel channels[J]. IET Communications, 2013, 7(7):620-627. |
[10] | GOLDSMITH A. 无线通信[M]. 北京:人民邮电出版社, 2007. GOLDSMITH A. Wireless communications[M]. Beijing:Posts and Telecom Press, 2007. |
[11] | AGRELL E, LASSING J, STROM E G, et al. On the optimality of the binary reflected gray code[J]. IEEE Transactions on Information Theory, 2004, 50(12):3170-3182. |
[12] | IRSHID M. Gray code weighting system[J]. IEEE Transactions on Information Theory, 1987, 33(6):930-931. |
[13] | LIN D S, XIAO Y, LI S Q. Low complexity soft decision technique for gray mapping modulation[J]. Wireless Personal Communications, 2008, 52(2):383-392. |
[14] | KORADA S B, SASOGLU E, URBANKE R. Polar codes:Characterization of exponent, bounds, and constructions[C]//IEEE International Symposium on Information Theory. Seoul:IEEE, 2009:1483-1487. |
[15] | HASSANI S H, KORADA S B, URBANKE R. The compound capacity of polar codes[C]//47th Annual Allerton Conference on Communication, Control, and Computing. Illinois:IEEE, 2009:16-31. |
[16] | TAL I, VARDY A. List decoding of polar codes[C]//IEEE International Symposium on Information Theory. St. Petersburg:IEEE, 2011:1-5. |
[17] | IMAI H, HIRAKAWA S. A new multilevel coding method using error-correcting codes[J]. IEEE Transactions on Information Theory, 1977, 23(3):371-377. |