Sampling Constrained Asynchronous Communication: How to Sleep Efficiently

The minimum energy, and, more generally, the minimum cost, to transmit one bit of information was recently derived for bursty communication when information is available infrequently at random times at the transmitter. Furthermore, it was shown that even if the receiver is constrained to sample only...

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Bibliographic Details
Published in:IEEE transactions on information theory 2018-03, Vol.64 (3), p.1867-1878
Main Authors: Chandar, Venkat, Tchamkerten, Aslan
Format: Article
Language:English
Subjects:
Adaptive sampling
Asynchronous communication
bursty communication
capacity per unit cost
Change detection
Communication
Computer Science
Control charts
Decoding
Delay
Delays
energy
Energy transmission
hypothesis testing
Information Theory
Minimum cost
Receivers
Reliability
sampling
sequential analysis
Sleep
sparse communication
Synchronization
transient change
Transmitters
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Summary:The minimum energy, and, more generally, the minimum cost, to transmit one bit of information was recently derived for bursty communication when information is available infrequently at random times at the transmitter. Furthermore, it was shown that even if the receiver is constrained to sample only a fraction \rho \in ~(0,1] of the channel outputs, there is no capacity penalty. That is, for any strictly positive sampling rate \rho , the asynchronous capacity per unit cost is the same as under full sampling, i.e. , when \rho =1 . Moreover, there is no penalty in terms of decoding delay. These results are asymptotic in nature, considering the limit as the number B of bits to be transmitted tends to infinity, while the sampling rate \rho remains fixed. A natural question is then whether the sampling rate \rho (B) can drop to zero without introducing a capacity (or delay) penalty compared with full sampling. We answer this question affirmatively. The main result of this paper is an essentially tight characterization of the minimum sampling rate. We show that any sampling rate that grows at least as fast as \omega (1/B) is achievable, while any sampling rate smaller than o(1/B) yields unreliable communication. The key ingredient in our improved achievability result is a new, multi-phase adaptive sampling scheme for locating transient changes, which we believe may be of independent interest for certain change-point detection problems.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2017.2771208