Information Theory and Reliable Communication
Information Theory and Reliable Communication
Random matrix theory and wireless communications
Communications and Information Theory
Transmission and reception with multiple antennas: theoretical foundations
Communications and Information Theory
Intrinsic Limits of Dimensionality and Richness in Random Multipath Fields
IEEE Transactions on Signal Processing
Wireless communication systems with-spatial diversity: a volumetric model
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Random sequence multisets for synchronous code-division multiple-access channels
IEEE Transactions on Information Theory
Degrees of freedom in multiple-antenna channels: a signal space approach
IEEE Transactions on Information Theory
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A fundamental problem in any communication system is: given a communication channel between a transmitter and a receiver, how many "independent" signals can be exchanged between them? Arbitrary communication channels that can be described by linear compact channel operators mapping between normed spaces are examined in this paper. The (well-known) notions of degrees of freedom (DOF) at level ε and essential dimension of such channels are developed in this general setting. We argue that the DOF at level ε and the essential dimension fundamentally limit the number of independent signals that can be exchanged between the transmitter and the receiver. We also generalize the concept of singular values of compact operators to be applicable to compact operators defined on arbitrary normed spaces which do not necessarily carry a Hilbert space structure. We show how these generalized singular values, which we call DOF singular values, can be used to calculate the DOF at level ε and the essential dimension of compact operators that describe communication channels. We describe physically realistic channels that require such general channel models.