A new shaping technique called coset shaping for coded QAM and PAM signaling is introduced and analyzed. This technique can be applied not only to information bits but also to parity bits without incurring additional complexity costs. It is proven that as the length of the error-correcting code and the modulation order tend to infinity, the gap to capacity for the proposed shaping scheme can be made arbitrarily small. Numerical results and comparisons for the shaping scheme, along with nonbinary LDPC-coded QAM signaling, are presented.
翻译:本文提出并分析了一种用于编码QAM和PAM信号的新型成形技术——码集成形。该技术不仅适用于信息比特,还可应用于校验比特,且不会增加额外的复杂度成本。理论证明,当纠错码长度和调制阶数趋于无穷时,所提成形方案与信道容量的差距可任意趋近于零。文中给出了该成形方案与非二进制LDPC编码QAM信号的数值结果及性能对比。