Fundamental Trade-Offs Between Power and Data Transfer in Inductive Links for Biomedical Implants

摘要

This paper studies the fundamental trade-offs between power transfer efficiency (PTE) and spectral efficiency that occur during simultaneous power and data transfer through near-field inductive links. A mathematical analysis is used to establish the relationship between PTE and channel capacity as a function of link parameters such as coupling coefficient (amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$k$amp;/tex-mathamp;amp;/inline-formulaamp;), load resistance, and surrounding environment. The analysis predicts that the optimum trade-off between power and data transfer is particularly dependent on amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$k$amp;/tex-mathamp;amp;/inline-formulaamp;, which is a monotonically-decreasing function of axial distance (amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$d$amp;/tex-mathamp;amp;/inline-formulaamp;) between the coils. Real-time adaptation of the link parameters (such as load resistance and modulation type) is proposed to automatically optimize the power-data trade-off over a wide range of distances and coupling coefficients. A bench-top prototype of such an adaptive link is demonstrated at a center frequency of 13.56?MHz. The prototype uses an ultrasound transducer to measure amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$d$amp;/tex-mathamp;amp;/inline-formulaamp; with accuracy amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$amp; 0.1$amp;/tex-mathamp;amp;/inline-formulaamp;?mm, and uses this information to autonomously optimize both data rate (up to amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$sim$amp;/tex-mathamp;amp;/inline-formulaamp;50?Mbps) and PTE (up to amp;inline-formulaamp;amp;tex-math notation="LaTeX"amp;$sim$amp;/tex-mathamp;amp;/inline-formulaamp;25) as the coil-coil distance varies within the 4-15?mm range.