In this paper, we investigate the construction of polar codes by Gaussian approximation (GA) and develop an approach based on piecewise Gaussian approximation (PGA). In particular, with the piecewise approach we obtain a function that replaces the original GA function with a more accurate approximation, which results in significant gain in performance. The proposed PGA construction of polar codes is presented in its integral form as well as an alternative approximation that does not rely on the integral form. Simulations results show that the proposed PGA construction outperforms the standard GA for several examples of polar codes and rates.
翻译:在本文中,我们调查高西亚近似法(GA)的极地代码构建,并制定一个以小巧法(PGA)为基础的方法。特别是,通过这一小巧法(PGA),我们获得了一种功能,用更准确的近似法取代了最初的GA函数,从而大大提高了绩效。拟议的PGA极地代码构建法以其整体形式和不依赖整体形式的替代近似法的形式提出,模拟结果表明,拟议的PGA构建法在若干极地代码和率的例子中优于标准GA。