Achievable Rate and Capacity Analysis for Ambient Backscatter Communications

Journal article


Qian, J, Zhu, Y, He, C, Gao, F and Jin, S (2019). Achievable Rate and Capacity Analysis for Ambient Backscatter Communications. IEEE Transactions on Communications. 67 (9), pp. 6299-6310.
AuthorsQian, J, Zhu, Y, He, C, Gao, F and Jin, S
Abstract

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In this paper, we analyze the achievable rate for ambient backscatter communications under three different channels: the binary input and binary output (BIBO) channel, the binary input and signal output (BISO) channel, and the binary input and energy output (BIEO) channel. Instead of assuming Gaussian input distribution, the proposed study matches the practical ambient backscatter scenarios, where the input of the tag can only be binary. We derive the closed-form capacity expression as well as the capacity-achieving input distribution for the BIBO channel. To show the influence of the signal-to-noise ratio (SNR) on the capacity, a closed-form tight ceiling is also derived when SNR turns relatively large. For BISO and BIEO channel, we obtain the closed-form mutual information, while the semi-closed-form capacity value can be obtained via one dimensional searching. Simulations are provided to corroborate the theoretical studies. Interestingly, the simulations show that: (i) the detection threshold maximizing the capacity of BIBO channel is the same as the one from the maximum likelihood signal detection; (ii) the maximal of the mutual information of all channels is achieved almost by a uniform input distribution; and (iii) the mutual information of the BIEO channel is larger than that of the BIBO channel, but is smaller than that of the BISO channel.

KeywordsAmbient backscatter; capacity; mutual information; capacity-achieving input distribution
Year2019
JournalIEEE Transactions on Communications
Journal citation67 (9), pp. 6299-6310
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISSN0090-6778
Digital Object Identifier (DOI)doi:10.1109/tcomm.2019.2918525
Publication dates
PrintSep 2019
Print23 May 2019
Publication process dates
Accepted01 May 2019
Deposited25 Jun 2020
Accepted author manuscript
License
File Access Level
Open
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