The Channel Capacity of General Complex-Valued Load Modulation for Backscatter Communication

Dumphart, Gregor; Sager, Johannes; Wittneben, A.

doi:10.1109/wcnc51071.2022.9771646

Cited by 2 publications

(3 citation statements)

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“…This is formalized as 𝜽, 𝝓 ∼ U (0, 2𝜋) for the polar angles in (13). Therewith, one can easily derive 1 the UIP-specific formula [24, Eq. ( 13)]…”

Section: B Calculating the Mutual Informationmentioning

confidence: 99%

“…This way, one can compute the objective function 𝐼 (𝒚; 𝚪) in the optimization problem (15) that determines the channel capacity. 1 To derive (18), write (17) as double integral of 𝑏, 𝜙 with Jacobian determinant 𝑏, note that 𝑏…”

Section: B Calculating the Mutual Informationmentioning

confidence: 99%

“…The high-SNR asymptotes (32) and (33) both exhibit a pre-log factor of 1 2 , which stems from the respective unused dimension: each scheme modulates either the resistance 𝒓 or the reactance 𝒙 of the the load impedance 𝒛 = 𝒓+ 𝑗 𝒙, but not both. In terms of 𝚪, this means that the modulation utilizes either the unit-disk boundary or the contained real axis.…”

Section: F Insightful Bounds and Asymptotesmentioning

confidence: 99%

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Load Modulation for Backscatter Communication: Channel Capacity and Capacity-Approaching Finite Constellations

Dumphart¹,

Sager²,

Wittneben³

2022

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In backscatter communication (BC), a passive tag transmits information by just affecting an external electromagnetic field through load modulation. Thereby, the feed current of the excited tag antenna is modulated by adapting the passive termination load. This paper studies the achievable information rates with a freely adaptable passive load. As a prerequisite, we unify monostatic, bistatic, and ambient BC with circuit-based system modeling. A crucial insight is that channel capacity is described by existing results on peak-power-limited quadrature Gaussian channels, because the steady-state tag current phasor lies on a disk. Consequently, we derive the channel capacity in the case of an unmodulated external field, for a general passive or purely reactive or resistive tag load. We find that modulating both resistance and reactance is crucial for high rates. We discuss the capacity-achieving load statistics, the rate asymptotics, and the capacity of ambient BC in important special cases. Furthermore, we propose a capacity-approaching finite constellation design: a tailored amplitudeand-phase-shift keying on the reflection coefficient. We also demonstrate high rates for very simple loads of just a few switched resistors and capacitors. Finally, we investigate the rate loss from a valuerange-constrained load, which is found to be small for moderate constraints.

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“…This is formalized as 𝜽, 𝝓 ∼ U (0, 2𝜋) for the polar angles in (13). Therewith, one can easily derive 1 the UIP-specific formula [24, Eq. ( 13)]…”

Section: B Calculating the Mutual Informationmentioning

confidence: 99%