Wei Qian1 and Chunqi Qian1
1Michigan State University, East Lansing, MI, United States
Synopsis
With a compact and batteryless design, the wireless powered parametric oscillator can simultaneously down-convert and frequency encode locally detected MR signals, and wirelessly transmit them to remotely coupled external receivers, thus maintaining superior sensitivity of localized detectors over larger distance separations.
Introduction
Wireless
signal transmission is advantageous to improve operation flexibility of MRI. Although
inductive coupling is often used for this purpose, it is effective only within
the near field region. For communications beyond the near field, RF signals can
be down converted to the MHz range (1) before being digitized
to modulate a GHz carrier. Alternatively, they can be directly digitized and
encoded onto carriers waves with increasingly higher frequencies, from millimeter
(2) to optical (3) range.
These multi-stage schemes require complicated circuits with large power
consumption, unsuitable for long-term operation inside confined cavities. To
overcome these limitations, we constructed a wirelessly powered frequency
modulator that could combine down conversion and signal encoding into a single
stage, thus significantly simplifying the design of wireless coils for improved
sensitivity of implantable or interventional MRI. Methods
The
core component of this wireless modulator was a double-frequency parametric
resonator (Fig. 1a) whose second resonance mode was created by bridging the
virtual voltage grounds of its first resonance mode. The double-frequency
parametric resonator was coaxially overlaid with another single frequency
resonator (Fig. 1b) to create a third resonance mode. By properly adjusting the
substrate thickness between these two resonators (Fig. 1c), the third resonance
frequency was tuned to approximately the sum of two lower resonance
frequencies. When activated by a pumping field near the highest resonance
frequency, the coupled resonator pair could utilize its nonlinear capacitance
to convert wireless pumping power into oscillation currents circulating near
its two lower resonance frequencies. In the presence of an input RF signal slightly
deviated from the oscillation signal by an offset frequency, the oscillation
signal was frequency modulated by the input signal to create multiple sidebands
separated by the offset frequency. As a result, this frequency modulated
oscillation signal could be utilized to transmit locally detected MRI signals
with improved sensitivity over large distance separations (Fig. 1d), until the
oscillation signal was detected by an external volume coil that was interfaced
with a conventional MRI scanner. After frequency demodulation of the received
oscillation signal, MR images can be reconstructed from 2D Fourier transform.Results
When the modulator was placed on top of a 1% agarose phantom and inserted
into the center of a 7T scanner, the volume coil was displaced by 11-cm distance
from the center of magnet to emulate weak coupling condition. To estimate the magnitude
of transmission attenuation, an MR image (Fig. 2a) was first reconstructed from
signals that were passively relayed to the volume coil, using FOV 45 x 45 mm2,
acquisition matrix 256 x 256, bandwidth 50 kHz, excitation angle 5 deg, TR/TE 20/10
ms. Compared to a surface coil with the same dimension but with wired connections
to scanner, the passively coupled modulator had a relative SNR of only
~2%, corresponding to 34-dB (or 50-fold) transmission attenuation.
Subsequently, we turned on pumping signal and set its power level about 0.1 dBm
below the oscillation threshold to enable stable amplification with high gain
(33 dB), leading to significantly improved SNR (Fig. 2b), owing to regenerative
amplification of MR signals by parametric mixing (4-7). Finally, we increased the pumping
power above the oscillation threshold and recorded the oscillation signal at
doubled sampling rate, obtaining enlarged horizontal field-of-view (Fig. 2c). By
overlapping the oscillation frequency to the center of the enlarged FOV,
time-domain MR signals were retrieved by derivatizing the phase angle, before
being Fourier Transformed to obtain the 2D image. Compared to the image
obtained by regenerative amplification (Fig. 2b), the image obtained by FM
encoding was 24% more sensitive, demonstrating the better noise immunity of FM
encoding. Fig. 2c contained a center-symmetric mirror of the original object,
due to the cosine-encoding relation of the message signal in both dimensions.
To estimate the modulator’s effective operation
distance, the volume coil was gradually
moved away from the modulator. For each distance separation, the excitation
power on the volume coil was proportionally scaled to maintain the same effective
excitation angle. According to Fig. 3, both the amplifier and the modulator had similar SNR
when the transmission attenuation was smaller than 21 dB. But the modulator could
maintain constant sensitivity for up to 34-dB attenuation when the modulator
already laid outside the volume coil. Even though the modulator’s sensitivity
would eventually drop under very large distance separations, its SNR
always remained higher than parametric amplification, demonstrating the
advantage of FM encoding.Conclusion
A wirelessly powered
parametric oscillator is constructed for simultaneous down-conversion and frequency-encoding
of MR signals at their offset frequencies from the oscillation signal. Without the
need for DC power or multi-stage processors, this compact circuit can detect,
encode and broadcast locally acquired MR signals over larger distance
separations, using <9 dBm of pumping power. It can wirelessly
communicate with any conventional detectors that are readily available on ordinary
MRI scanners, thus greatly improving MRI’s applicability for any parts of body
without the need for dedicated focal coils using specialized signal interfaces.
Although frequency encoding of MR signals is somewhat noisier than a directly
connected surface coil, the greatly improved flexibility of this wireless
modulator will justify its use inside confined space or body cavities. Acknowledgements
This work was supported in part by the National
Institutes of Health under Grant R00EB016753.References
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