We propose a new shaping scheme for the Gaussian channel whose complexity is approximately half the one of a binary distribution matcher (DM). The result is obtained as follows: We first show that most of the shaping gain can be obtained via a simplified version of sign-bit shaping, which uses only two non-uniform binary sources. This is achieved by considering a stepwise Maxwell-Boltzmann-like distribution of the symbols. One of the two binary sources has a parameter $p$ close to 0. Hence, we then describe a binary DM which explicitly takes advantage of this aspect and has a negligible complexity. Since the two binary sources are used in parallel with equal probability, the complexity of the proposed shaping scheme is half the one of the second binary DM.

翻译：我们为Gaussian频道提出了一个新的成型方案,该频道的复杂性大约是二进制分布匹配器(DM)的半数。结果如下:我们首先表明,大多数成型收益可以通过简化的手势比方形状获得,它只使用两个非统一的二进制来源。这是通过考虑代号的分级分布方式实现的。两个二进制来源之一的参数接近0美元。因此,我们然后描述一个二进制模式,它明确利用这一方面,其复杂性微不足道。由于两种二进制来源同时使用,因此拟议的成型方案的复杂性是第二个二进制模式的一半。