933 research outputs found
Lower Bound on the Capacity of Continuous-Time Wiener Phase Noise Channels
A continuous-time Wiener phase noise channel with an integrate-and-dump
multi-sample receiver is studied.
A lower bound to the capacity with an average input power constraint is
derived, and a high signal-to-noise ratio (SNR) analysis is performed.
The capacity pre-log depends on the oversampling factor, and amplitude and
phase modulation do not equally contribute to capacity at high SNR.Comment: Extended version of a paper submitted to ISIT 2015. 9 pages and 1
figure. arXiv admin note: text overlap with arXiv:1411.039
Phase Modulation for Discrete-time Wiener Phase Noise Channels with Oversampling at High SNR
A discrete-time Wiener phase noise channel model is introduced in which
multiple samples are available at the output for every input symbol. A lower
bound on the capacity is developed. At high signal-to-noise ratio (SNR), if the
number of samples per symbol grows with the square root of the SNR, the
capacity pre-log is at least 3/4. This is strictly greater than the capacity
pre-log of the Wiener phase noise channel with only one sample per symbol,
which is 1/2. It is shown that amplitude modulation achieves a pre-log of 1/2
while phase modulation achieves a pre-log of at least 1/4.Comment: To appear in ISIT 201
Informational Divergence Approximations to Product Distributions
The minimum rate needed to accurately approximate a product distribution
based on an unnormalized informational divergence is shown to be a mutual
information. This result subsumes results of Wyner on common information and
Han-Verd\'{u} on resolvability. The result also extends to cases where the
source distribution is unknown but the entropy is known
Upper Bound on the Capacity of Discrete-Time Wiener Phase Noise Channels
A discrete-time Wiener phase noise channel with an integrate-and-dump
multi-sample receiver is studied. An upper bound to the capacity with an
average input power constraint is derived, and a high signal-to-noise ratio
(SNR) analysis is performed. If the oversampling factor grows as
for , then the capacity pre-log is at
most at high SNR.Comment: 5 pages, 1 figure. To be presented at IEEE Inf. Theory Workshop (ITW)
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