乘积测度一维边值的离域化与LTI离散信道的容量
Delocalisation of one-dimensional marginals of product measures and the capacity of LTI discrete channels
摘要：
我们考虑离散线性时不变（LTI）信道满足相位独立（PI）假设。我们表明，PI假设下的LTI信道的容量是积极的。主要的技术工具，我们用来建立积极的能力是离域定理的一维边缘的产品措施，由于球和Nazarov。我们还证明了两个离域的结果，可以看作是球Nazarov定理的扩展。
英文摘要：
We consider discrete linear time invariant (LTI) channels satisfying the phase independence (PI) assumption. We show that under the PI assumption the capacity of LTI channels is positive. The main technical tool that we use to establish the positivity of the capacity is the delocalisation theorem for one-dimensional marginals of the product measure due to Ball and Nazarov. We also prove two delocalisation results that can be seen as extensions of Ball-Nazarov Theorem.
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