Capacity Theorem for Finite Duration Symbols

Subhendu K. Das, N. Mohanty, Avtar Singh
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引用次数: 2

Abstract

The proof of capacity theorem assumed that the symbols are of infinite time duration. Since the infinite time symbols are not meaningful and is not used in the existing technology, in this paper we decided to prove it over finite time interval. The result shows that the new capacity of a band limited channel explicitly depends on the sample rate. This new approach helps us to show that all shift keying methods do not meet the Shannon’s model and therefore cannot achieve the basic capacity limits. We also show that the function modulation method can be engineered to achieve the new extended limits. To establish our theory we use the well known mathematical concept of infinite dimensionality of function space. The new capacity result is stated in a theorem.
有限持续时间符号的容量定理
容量定理的证明假定符号具有无限的时间长度。由于无限时间符号是没有意义的,在现有的技术中没有使用,所以在本文中我们决定在有限的时间区间上证明它。结果表明,带限信道的新容量明显取决于采样率。这种新方法有助于我们证明所有移位键控方法都不符合香农模型,因此无法达到基本容量限制。我们还表明,可以设计函数调制方法来实现新的扩展极限。为了建立我们的理论,我们使用了众所周知的函数空间无限维的数学概念。新的容量结果用一个定理来表述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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