In this paper we consider the polarization theory of non-stationary channels and its application in secure coding. For non-stationary polarization, we construct a multi-channel stochastic process by which we extend Ar{\i}kan's standard methods and prove that the sequence of non-stationary channels can be polarized the into full noise channels and noiseless channels by the channel polarization transformation. Then for non-stationary wiretap channel model, we construct a secure polar coding scheme by applying the non-stationary polarization. Theoretically, we prove that this secure coding scheme achieves the average secrecy capacity of the non-stationary WTC model under both reliability and strong security criterions. Moreover, we carry out simulations to test the performance of proposed scheme, and the testing results also prove the achieving of reliably and security.

中文翻译：

---

非平稳极化：证明与应用

在本文中，我们考虑了非平稳信道的极化理论及其在安全编码中的应用。对于非平稳极化，我们构建了一个多通道随机过程，通过该过程我们扩展了 Ar{\i}kan 的标准方法，并证明非平稳通道序列可以被通道极化为全噪声通道和无噪声通道极化变换。然后对于非平稳窃听信道模型，我们通过应用非平稳极化构造了安全极化编码方案。从理论上讲，我们证明了这种安全编码方案在可靠性和强安全性标准下都达到了非平稳 WTC 模型的平均保密能力。此外，我们进行了模拟来测试所提出方案的性能，