The present application relates to microwave tunable filters and, more specifically, to methods of monitoring and tuning the frequency of high-Q microwave tunable filters in real time.
Tunable filters are the essence of emerging reconfigurable radios and spectrum-aware systems. Their capabilities of switching bands, changing communication standards, and handling jammers, among others, make them a very attractive choice for radio frequency (RF) front ends. Yet, the flexibility of tunable filters comes at the cost of being potentially vulnerable to variations in terms of frequency drift caused by aging or environmental effects. Such frequency stability issues can be addressed with high-Q cavity filters that are tunable using equipment such as network analyzers or by monitoring other operating modes, e.g., secondary mode, in the cavity of the filter. However, these tuning methods can be costly and time-consuming processes. Accordingly, there is a need for improvements in the field.
The present invention provides methods and devices suitable for monitoring the frequency of microwave tunable filters in real time. The frequency readout relies on the natural response of such a filter when excited by a pulse.
According to various aspects, an evanescent-mode RF filter is disclosed, comprising an RF filter resonator having a first membrane enclosing a first cavity, a monitoring resonator having a second membrane enclosing a second cavity, the monitoring resonator mounted opposing the filter resonator such that the first and second membranes are facing one another, a planar actuator mounted between the first and second membranes, and a power supply configured to apply a voltage bias signal to the actuator, the voltage bias signal causing the actuator to increase or decrease the operating frequency of the filter resonator. The filter may further comprise a pulse injection circuit operatively connected to an input of the monitoring resonator, the pulse injection circuit configured to supply a pulse signal to the monitoring resonator. The filter may further comprise a readout circuit connected to an output of the monitoring resonator, the readout circuit configured to determine a number of pulses from the output having a voltage greater than a predetermined threshold in a predetermined time period, the number of pulses corresponding to a natural response frequency of the filter resonator in response to the pulse signal.
Methods of measuring an operating frequency of a pole in a tunable filter include measuring a number of cycles in a natural response in the filter when the filter is excited by an electric current pulse, and determining a resonance frequency based on the number of cycles measured in the natural response. Such a method can provide the operating frequency information in a binary digital format, making it relatively easy to read and process.
In the following description and drawings, identical reference numerals have been used, where possible, to designate identical features that are common to the drawings.
The attached drawings are for purposes of illustration and are not necessarily to scale.
Various aspects relate to electrostatic control of an ionic environment in a droplet based platform for biological applications. The terms “I,” “we,” “our” and the like throughout this description do not refer to any specific individual or group of individuals.
Throughout this description, some aspects are described in terms that would ordinarily be implemented as software programs. Those skilled in the art will readily recognize that the equivalent of such software can also be constructed in hardware, firmware, or micro-code. Because data-manipulation algorithms and systems are well known, the present description is directed in particular to algorithms and systems forming part of, or cooperating more directly with, systems and methods described herein. Other aspects of such algorithms and systems, and hardware or software for producing and otherwise processing signals or data involved therewith, not specifically shown or described herein, are selected from such systems, algorithms, components, and elements known in the art. Given the systems and methods as described herein, software not specifically shown, suggested, or described herein that is useful for implementation of any aspect is conventional and within the ordinary skill in such arts.
The piezoelectric disk 208 is electrically isolated from the membrane 216 by an insulating material 210, which in one embodiment is an electrically insulating glue. The glue is applied in a thin layer, allowing mechanical attachment without having a large impact on the tuning range of the piezoelectric disk 208. The piezoelectric disk 208 may also be electrically insulated from the membrane 214.
Since the resonant frequency of each resonator 222 and 226 is controlled by the gap g (see
The relationship between the resonant frequency of a cavity and its gap is given by
Where L and C are the effective inductance and capacitance of the cavity, respectively, g is the gap between the post and the membrane, and A is the area of the top of the post. The approximation in equation (1) is due to the parallel plate approximation of the capacitor.
From equation (1), the relationship between the resonant frequency of a cavity and the gap between the post membrane is monotonic and bijective (one-to-one correspondence). By transitivity, the relationship between the two resonant frequencies of the filter resonator 202 and monitoring resonator 204 is also monotonic and bijective. This relationship is shown in
The frequency of the monitoring cavity 222 may be equal to, greater, or smaller than the frequency of the RF filter cavity 226. This is also due to the monotonic relationship between the two frequencies. In addition, since the monitoring and the RF paths are separated, each cavity can be optimized independently.
In order to excite the monitoring resonator 204, a pulse injection circuit 402 is provided as shown in
The frequency of the monitoring resonator 204 can be detected from the natural response of the filter. Therefore, the natural response should be analyzed. In order to study the response of the cavity to a pulse, the cavity needs to be modeled. The monitoring cavity resonator 204 can be modeled as a parallel RLC circuit 416, as shown in
where V0 is a constant, t is time, R and C are the resistance and capacitance, f0 is the natural frequency expressed in equation (1), and θ is the phase. This has been verified by simulating an RLC model circuit (using SPICE) when excited by the measured pulse from
The current pulse from the pulse injection circuit 402 will typically exhibit jitter. Jitter can be caused by several mechanisms such as random additive noise. Additive noise can cause the logic gate (XOR 406) to trigger before or after the signal reaches the threshold, randomly. This causes different output pulse widths, which can change the response of the circuit. As a result, the monitoring resonator 204 should be designed such that the response is not significantly affected by jitter. The frequency of the monitoring resonator 204 is chosen such that the response is not largely affected by the jitter in the pulse, which becomes prominent at frequencies close to the inverse of the pulse width. On the other hand, the frequency of the monitoring resonator 204 cannot be too low because filter fabrication becomes problematic at low frequencies due to size requirements. As a result, the frequency of the monitoring resonator 204 should preferably be chosen between those two limits. If the aforementioned limitations on the monitoring resonator 204 define a range smaller than the tuning range (limited by the piezoelectric actuator 208), the upper limit can be further moved to higher frequencies by using a pulse injection circuit 402 that can provide a smaller pulse width (Tpulse).
The natural frequency response of the monitoring resonator 204 is needed to determine the frequency of the filter resonator 202. When tuning the filter 200, the capacitance C changes, which, in turn, changes the natural response waveform in equation (2). This change can be detected by counting the number of cycles above a voltage threshold in the damped response, as shown in
N=fmont0. (3)
where N is the number of cycles above the threshold, to is the time it takes for the signal to go below the threshold, and fmon is the natural resonant frequency of the monitoring resonator 204. Given that the sinusoidal component in equation (2) has a unity maximum, t0 can be found by solving
where VT is the threshold voltage. From equation (4), t0 can be found to be
From equations (1), (3) and (5), the relationship between the number of cycles and natural resonant frequency of the monitoring resonator 204 is given by
From equation (6), it can be seen that, in the natural response of a cavity, the number of cycles that are above a voltage threshold (VT) is inversely proportional to the resonant frequency. This relationship is also monotonic and bijective, which allows it to be used for monitoring.
Since the number of cycles N is inversely proportional to the monitoring resonator 204 frequency (Nα1/fmon), and since the monitoring resonator 204 frequency is inversely proportional to the filter resonator 202 (fmonα1/fRF cav), the number of cycles N is directly proportional to the filter resonator 202 frequency (NαfRF cav).
As shown in
When a pulse 403 is injected into the monitoring resonator 204, the counter 434 provides the number of cycles observed in the damped response. As discussed herein, the number of pulses can identify the resonant frequency of the monitoring resonator 204. As a result, the frequency of the filter resonator 202 is determined as well.
In certain embodiments, the monitoring readout circuit 430 outputs the number of pulses output from the monitoring resonator 204 in digital form, easing the integration of the readout in a control system.
As shown in
In certain embodiments, the control circuit 106 is fully digital can therefore be implemented in a microcontroller or a field programmable gate array (FPGA) platform.
In certain embodiments, to ease the integration of the system, the power supply 512 may be controlled digitally and should be capable of generating high voltage bias for the piezoelectric disk 208.
Steps of various methods described herein can be performed in any order except when otherwise specified, or when data from an earlier step is used in a later step. Exemplary method(s) described herein are not limited to being carried out by components particularly identified in discussions of those methods.
According to various aspects, technical effects can include the capability of measuring an operating frequency of a pole of a filter in real time with relatively low cost devices. In preferred embodiments, the frequency response of each pole in a filter can be measured using simple circuitry using off-the-shelve electronics that can be embedded in a system with reduced power consumption overhead, resulting in a relatively inexpensive solution in comparison to conventional techniques tuned with lab equipment. Also, these methods preferably provide the frequency information in a digital format, and without affecting the main cavity operation.
Various aspects described herein may be embodied as systems or methods. Accordingly, various aspects herein may take the form of an entirely hardware aspect, an entirely software aspect (including firmware, resident software, micro-code, etc.) run by one or more computer processors connected to electronic memory, or an aspect combining software and hardware aspects These aspects can all generally be referred to herein as a “service,” “circuit,” “circuitry,” “module,” or “system.”
Furthermore, various aspects herein may be embodied as computer program products including computer readable program code (“program code”) stored on a computer readable medium, e.g., a tangible non-transitory computer storage medium or a communication medium. A computer storage medium can include tangible storage units such as volatile memory, nonvolatile memory, or other persistent or auxiliary computer storage media, removable and non-removable computer storage media implemented in any method or technology for storage of information such as computer-readable instructions, data structures, program modules, or other data. A computer storage medium can be manufactured as is conventional for such articles, e.g., by pressing a CD-ROM or electronically writing data into a Flash memory. In contrast to computer storage media, communication media may embody computer-readable instructions, data structures, program modules, or other data in a modulated data signal, such as a carrier wave or other transmission mechanism. As defined herein, “computer storage media” do not include communication media. That is, computer storage media do not include communications media consisting solely of a modulated data signal, a carrier wave, or a propagated signal, per se.
The invention is inclusive of combinations of the aspects described herein. References to “a particular aspect” (or “embodiment” or “version”) and the like refer to features that are present in at least one aspect of the invention. Separate references to “an aspect” (or “embodiment”) or “particular aspects” or the like do not necessarily refer to the same aspect or aspects; however, such aspects are not mutually exclusive, unless otherwise explicitly noted. The use of singular or plural in referring to “method” or “methods” and the like is not limiting. The word “or” is used in this disclosure in a non-exclusive sense, unless otherwise explicitly noted.
The invention has been described in detail with particular reference to certain preferred aspects thereof, but it will be understood that variations, combinations, and modifications can be effected within the spirit and scope of the invention.
The present patent application is related to and claims the priority benefit of U.S. Provisional Patent Application Ser. No. 62/121,548, filed Feb. 27, 2015, the contents of which is hereby incorporated by reference in its entirety into the present disclosure.
This invention was made with government support under Contract No. HR0011-12-C-0096 awarded by the Defense Advanced Research Projects Agency. The Government has certain rights in the invention.
Number | Date | Country | |
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62121548 | Feb 2015 | US |