This disclosure generally relates to systems and methods for wireless communications. In particular, this disclosure relates to systems and methods for using a thin film bulk acoustic resonator-based oscillator for generation of reference signals for wireless communications.
Wireless receivers and transmitters frequently use locally generated reference signals, sometimes referred to as a local oscillator (LO) signal, for tuning to and filtering of received signals or for generation of carrier frequencies for transmitters. In many implementations, silicon crystal-based oscillators (XO) are utilized as an initial reference for a phase-locked loop (PLL) control system to generate a stable carrier or reference frequency. The XO oscillator may frequently operate in the MHz range, while the PLL output may be significantly higher, e.g. in the GHz range. As part of the control system, the PLL output may be divided down and compared to the XO reference signal. However, this division may result in significant amplification of noise generated by the PLL circuit. This noise may have adverse effects on the circuit, including extending time for oscillator stabilization, increasing power consumption and heat generation, placing limiting requirements on other components (e.g. to reduce overall noise), and potentially limiting the bandwidth capability of the receiver or transmitter.
Various objects, aspects, features, and advantages of the disclosure will become more apparent and better understood by referring to the detailed description taken in conjunction with the accompanying drawings, in which like reference characters identify corresponding elements throughout. In the drawings, like reference numbers generally indicate identical, functionally similar, and/or structurally similar elements.
The details of various embodiments of the methods and systems are set forth in the accompanying drawings and the description below.
The following IEEE standard(s), including any draft versions of such standard(s), are hereby incorporated herein by reference in their entirety and are made part of the present disclosure for all purposes: IEEE P802.11n™; and IEEE P802.11ac™. Although this disclosure may reference aspects of these standard(s), the disclosure is in no way limited by these standard(s).
For purposes of reading the description of the various embodiments below, the following descriptions of the sections of the specification and their respective contents may be helpful:
Wireless receivers and transmitters frequently use locally generated reference signals, sometimes referred to as a local oscillator (LO) signal, for tuning to and filtering of received signals or for generation of carrier frequencies for transmitters. These transmitters and receivers may be used for a variety of communications protocols and systems, including 802.11 (WiFi) communications, cellular communications, Bluetooth communications, near field communications (NFC), satellite communications, or any other type and form of wireless communications.
In many implementations, silicon crystal-based oscillators (XO) are utilized as an initial reference for a phase-locked loop (PLL) control system to generate a stable carrier or reference frequency. The XO oscillator may frequently operate in the MHz range, while the PLL output may be significantly higher, e.g. in the GHz range. As part of the control system, the PLL output may be divided down and compared to the XO reference signal. However, this division may result in significant amplification of noise generated by the PLL circuit. This noise may have adverse effects on the circuit, including extending time for oscillator stabilization, increasing power consumption and heat generation, placing limiting requirements on other components (e.g. to reduce overall noise), and potentially limiting the bandwidth capability of the receiver or transmitter.
Instead, implementations of the systems and methods discussed herein utilize a thin-film bulk acoustic resonator (FBAR) as a reference rather than the crystal oscillator. In some implementations, the FBAR-based oscillator may be used as a reference to an analog or digital PLL circuit (either directly, or divided to a lower frequency). In other implementations, the FBAR-based oscillator may be used as a reference to a mixing-based PLL rather than a dividing-based PLL. While dividing-based PLLs divide down a voltage controlled oscillator (VCO) output before comparing it to a relatively low frequency reference (which may be an XO or FBAR based reference, in various implementations), a mixing PLL down-converts the VCO output by mixing it with the high frequency reference (e.g. FBAR-based reference). By using mixing rather than division in such implementations, the noise contribution of many of the PLL circuit components or elements may be reduced (e.g. noise from a delta-sigma modulator (DSM), multiple modulus divider (MMD), phase frequency detector (PFD)/charge pump (CP), etc.).
FBAR-based oscillators have comparable figures of merit (a benchmark of performance of the oscillator, sometimes referred to as FOM, and which may be equal to the phase noise of the oscillator at an offset frequency foffset from its resonant frequency fosc, minus 10 log (fosc/foffset)̂2, plus 10 log (PDC/1 mW), where PDC is the power consumption of the oscillator, sometimes expressed in dBc/Hz) to crystal based oscillators, and have a comparably limited tuning range to crystal based oscillators. However, unlike crystal based oscillators which may operate in the MHz range as noted above, FBAR-based oscillators may operate in the GHz range, reducing or eliminating the need for a fractional divider in the PLL circuit and correspondingly reducing or eliminating quantization noise. This may reduce time for oscillator stabilization, and reduce power consumption and heat generation by the circuit. In many implementations, design requirements for other components in the circuit may be reduced due to the reduced PLL noise, reducing costs and simplifying design and manufacture. In some implementations, the bandwidth capability of the receiver or transmitter may be expanded as a result.
Referring first to
As shown in the functional diagram 110, the output signal is a sum 112 of various noise signals including XO noise, PFD noise, CP noise, LF noise, and sigma-delta (SD) and multiple modulus divider (MMD) noise (if included in the PLL circuit), and VCO noise 116, and proportional to the VCO and divider signals 114, 118. In some implementations using the architecture illustrated, the transfer function 122 for the PLL is equal to (A/(1+AB))+(1/B)+N, with N being the PLL noise components amplified by N. In typical implementations using frequency multiplication by N, the resulting noise signal is amplified by 20 Log(N) dB. This may be significantly higher in amplitude at lower frequencies than the VCO transfer function 124, restricting the useable bandwidth, and potentially restricting channel spacing.
In a similar implementation illustrated in
As shown in the functional block diagram 310, the decimated feedback signals 317, 319 are summed with noise signals (e.g. 312, 316, 318) and amplified (A 314), and the resulting transfer function is illustrated in the graph of
The implementation of
In another aspect, the FBAR oscillator-based systems and methods discussed herein may also be used with non-mixing PLL implementations, either directly as a reference signal to an analog or digital PLL as shown in the example implementation of
In testing implementations, the PLL locked within 25 μs, with a lock bandwidth of approximately 900 KHz. The error rate Ferr_out settled within 200 μs to under 0.1 ppm accuracy. In some implementations, removal of the low pass filter from the circuit path may decrease error settling time.
FBAR calibration with a digital PLL circuit can detect the FBAR oscillator's frequency to within 0.03 ppm in many implementations. The detected frequency error may be used to correct the FBAR oscillator frequency, allowing internal control and correction. In many implementations, a small varactor (sometimes referred to as a varactor diode or varicap) may be used to tune the FBAR oscillator frequency without significantly degrading its phase noise. The required tuning range is relatively small, and is based on the FBAR oscillator's temperature variation range in many implementations (e.g. 200-300 ppm). Advantageously, the temperature compensated FBAR oscillator does not generate temperature-dependent spur content in its output due to frequency drift, and by compensating for temperature changes, there's no need to trim other PLL circuits on the chip using the FBAR oscillator as a reference.
As shown, the loop filter output (LF(z)) may represent the FBAR oscillator's frequency error. This output may be provided to a gain controller 724 of temperature compensation loop 722 for control of the temperature compensation circuit's speed and stability (e.g. reducing the gain to slow the adjustment rate). The output of the gain controller 724 is provided to an integrator 726 and sigma-delta modulator 728, which may generate an output that will move up or down responsive to a frequency error. In some implementations, the sigma-delta modulator may comprise a 2nd order modulator, while in other implementations, first-order or higher order modulators may be used. The comparator output may be converted from a digital output to analog via DAC converter 730, and an RC filter 732 (or low pass filter, in some implementations) may be used filter the analog signal to provide a control voltage Vtc for the FBAR oscillator. The control voltage Vtc will move up or down to correct the oscillator frequency until the detected error (LF(z) output) is zero. In some implementations, the digital-to-analog conversion may be skipped, and the sigma-delta output may be used to digitally control a capacitor bank in the FBAR oscillator (e.g. as cap codes or other serial or parallel control signals).
The adaptive gain controller 734 may be controlled via the loop filter output (LFint_out) and output frequency error (Ferr_out). When there's a phase or frequency disturbance, the loop filter output may respond faster, but may be noisier, while the output frequency error may respond slower with less noise. In some implementations, if the loop filter output is greater than a threshold (e.g. 0.5 ppm), then gain of the gain controller may be increased by a predetermined amount (e.g. 8 times the input signal, though other gain levels may be used). Similarly, in some implementations, if the output frequency error is above a threshold (e.g. 0.1ppm), then the gain may be increased proportionally to the error (e.g. round(Ferr_out/0.1ppm)).
In some implementations, FBAR-based oscillators may be prone to frequency drift due to manufacturing variation, packaging stress, environmental effects such as temperature or humidity, aging, etc. The frequency drift may be very slow with respect to the oscillation frequency in many implementations, but may be quite large (e.g. on the order of 1200 ppm). In some implementations, this drift may be compensated for by changing the division ratio in the PLL. For example,
In another implementation, digital compensation logic may be used to directly correct FBAR frequency drift, e.g. by adding capacitive tuning to the FBAR oscillator core and adjusting the frequency based on a reference clock. For example, a reference clock such as those discussed above may have high stability, though low frequency (e.g. a crystal oscillator).
Quantization noise may be an issue in some implementations of PLL circuits. For example, a VCO may have significant levels of noise (e.g. phase noise). Increasing the loop bandwidth may help to suppress the VCO noise, but with a fractional-N PLL circuit, such as the one discussed above in connection with
Instead, in some implementations, a multi-phase phase/frequency detector (PFD) may be utilized with a plurality of phases compared to a reference clock. The compensation circuit (e.g. delta-sigma modulator (DSM) and multiple modulus divider (MMD)) may run at several times the reference frequency (e.g. M times, or M*fref), with the MMD output divided down to the reference frequency using an M-phase divider. All M of the output phases from the divider may be compared to the reference clock via a corresponding plurality M of PFD circuits, with the result integrated. As a result, added noise and size issues of reference multiplier-based implementations are avoided, while achieving identical performance for VCO and DSM noise.
For example,
In testing, a 2-phase divider (M=2) reduced 3rd order DSM noise by 15 dB relative to a single-phase divider (e.g. PLL circuit not utilizing a multi-phase divider), without changing the bandwidth. A 4-phase divider (M=4) reduced 3rd order DSM noise by 30 dB relative to the single phase divider.
Although discussed primarily in connection with FBAR-based PLL circuits or other high-frequency reference source, implementations of the multi-phase circuit for quantization noise reduction discussed above may be utilized with any PLL design, including XO-based PLL circuits.
Accordingly, implementations of the systems and methods discussed herein provide for reduced PLL component noise via utilization of an FBAR-based oscillator as a reference rather than a crystal oscillator. In some implementations, the FBAR-based oscillator may be used as a reference to an analog or digital PLL circuit (either directly, or divided to a lower frequency). In other implementations, the FBAR-based oscillator may be used as a reference to a mixing-based PLL rather than a dividing-based PLL. While dividing-based PLLs divide down a voltage controlled oscillator (VCO) output before comparing it to a relatively low frequency reference (which may be an XO or FBAR based reference, in various implementations), a mixing PLL down-converts the VCO output by mixing it with the high frequency reference (e.g. FBAR-based reference). By using mixing rather than division in such implementations, the noise contribution of many of the PLL circuit components or elements may be reduced (e.g. noise from a delta-sigma modulator (DSM), multiple modulus divider (MMD), phase frequency detector (PFD)/charge pump (CP), etc.).
Additionally, either in combination with such implementations or separately, multi-phase division and phase detection may be used to reduce quantization noise in PLL circuits without increasing bandwidth, and without using reference multipliers that may add noise or take up significant amounts of physical space.
In some implementations, the present disclosure is directed to a device, comprising a thin film bulk acoustic resonator (FBAR) circuit; a phase-locked loop (PLL) circuit comprising a voltage controlled oscillator (VCO); and a mixer circuit configured to receive the output signal from the FBAR circuit and an output signal from the VCO, and generate an intermodulation signal; and the PLL circuit is further configured to receive the intermodulation signal as a second input.
In some implementations, the device includes a frequency divider circuit configured to receive an output signal from the VCO and provide a divided signal to the mixer circuit for mixing with the output signal from the FBAR circuit. In some implementations, the frequency divider circuit is an integer divider.
In some implementations, the PLL circuit comprises a multiple modulus divider (MMD) configured to receive the output signal from the VCO. In some implementations, the mixer circuit comprises a sample and hold circuit. In some implementations, the mixer circuit comprises an XOR logic gate. In a further implementation, the XOR logic gate is further configured to receive a frequency divided version of the output signal from the VCO.
In some implementations, the PLL circuit comprises a frequency divider circuit; and the device includes a compensation circuit configured to control a division ratio of the frequency divider circuit, responsive to a detection of frequency drift of the FBAR circuit.
In another aspect, the present disclosure is directed to a temperature compensating phase-locked loop (PLL) circuit. The PLL circuit includes a thin film bulk acoustic resonator (FBAR) circuit; a ring oscillator configured to modulate an output signal from the FBAR circuit and a reference frequency signal; a loop filter configured to receive the modulated output signal and generate a signal representing a frequency error of the FBAR circuit; and a temperature compensation loop circuit, configured to receive the frequency error signal from the loop filter and generate a control signal for the FBAR circuit.
In some implementations, the temperature compensation loop circuit further comprises an amplifier configured to receive the frequency error signal from the loop filter and generate a gain adjusted frequency error signal. In a further implementation, the PLL circuit includes an adaptive gain control circuit configured to monitor the frequency error signal from the loop filter and control gain of the amplifier, responsive to the monitoring. In a still further implementation, the adaptive gain control circuit is configured to increase gain of the amplifier responsive to determining that the frequency error signal exceeds a threshold. In another still further implementation, the temperature compensation loop further includes an adjustable bandwidth filter. In a yet still further implementation, the adaptive gain control circuit is further configured to increase bandwidth of the adjustable bandwidth filter, responsive to determining that the frequency error signal exceeds a threshold.
In another aspect, the present disclosure is directed to a multi-phase phase-locked loop (PLL) circuit comprising: an oscillator; a multi-phase divider receiving an output of the oscillator and comprising a plurality of frequency divided outputs, each frequency divided output of the multi-phase divider having a corresponding phase offset; a corresponding plurality of detectors, each detector receiving a corresponding frequency divided output of the multi-phase divider and an input reference signal and configured to generate a difference signal representative of a difference between the corresponding frequency divided output and the input reference signal; and a combiner in communication with each of the plurality of detectors configured to generate a single combined output of the plurality of generated difference signals, the single combined output controlling a frequency of the oscillator.
In some implementations, the PLL circuit includes a compensation circuit receiving the output of the oscillator and providing a compensated output to the multi-phase divider. In a further implementation, the compensation circuit comprises a delta-sigma modulator in parallel with a multiple modulus divider. In some implementations, each detector comprises an XOR logic gate. In some implementations, each detector comprises an edge-triggered logic circuit. In some implementations, the PLL circuit further includes a plurality of notch filters tuned to a harmonic of the input reference signal, each receiving an output of a corresponding detector of the plurality of detectors.
Having discussed specific embodiments of the present solution, it may be helpful to describe aspects of the operating environment as well as associated system components (e.g., hardware elements) in connection with the methods and systems described herein. Referring to
The access points (APs) 1206 may be operably coupled to the network hardware 1292 via local area network connections. The network hardware 1292, which may include a router, gateway, switch, bridge, modem, system controller, appliance, etc., may provide a local area network connection for the communication system. Each of the access points 1206 may have an associated antenna or an antenna array to communicate with the wireless communication devices 1202 in its area. The wireless communication devices 1202 may register with a particular access point 1206 to receive services from the communication system (e.g., via a SU-MIMO or MU-MIMO configuration). For direct connections (e.g., point-to-point communications), some wireless communication devices 1202 may communicate directly via an allocated channel and communications protocol. Some of the wireless communication devices 1202 may be mobile or relatively static with respect to the access point 1206.
In some embodiments an access point 1206 includes a device or module (including a combination of hardware and software) that allows wireless communication devices 1202 to connect to a wired network using Wi-Fi, or other standards. An access point 1206 may sometimes be referred to as an wireless access point (WAP). An access point 1206 may be configured, designed and/or built for operating in a wireless local area network (WLAN). An access point 1206 may connect to a router (e.g., via a wired network) as a standalone device in some embodiments. In other embodiments, an access point can be a component of a router. An access point 1206 can provide multiple devices 1202 access to a network. An access point 1206 may, for example, connect to a wired Ethernet connection and provide wireless connections using radio frequency links for other devices 1202 to utilize that wired connection. An access point 1206 may be built and/or configured to support a standard for sending and receiving data using one or more radio frequencies. Those standards, and the frequencies they use may be defined by the IEEE (e.g., IEEE 802.11 standards). An access point may be configured and/or used to support public Internet hotspots, and/or on an internal network to extend the network's Wi-Fi signal range.
In some embodiments, the access points 1206 may be used for (e.g., in-home or in-building) wireless networks (e.g., IEEE 802.11, Bluetooth, ZigBee, any other type of radio frequency based network protocol and/or variations thereof). Each of the wireless communication devices 1202 may include a built-in radio and/or is coupled to a radio. Such wireless communication devices 1202 and/or access points 1206 may operate in accordance with the various aspects of the disclosure as presented herein to enhance performance, reduce costs and/or size, and/or enhance broadband applications. Each wireless communication devices 1202 may have the capacity to function as a client node seeking access to resources (e.g., data, and connection to networked nodes such as servers) via one or more access points 1206.
The network connections may include any type and/or form of network and may include any of the following: a point-to-point network, a broadcast network, a telecommunications network, a data communication network, a computer network. The topology of the network may be a bus, star, or ring network topology. The network may be of any such network topology as known to those ordinarily skilled in the art capable of supporting the operations described herein. In some embodiments, different types of data may be transmitted via different protocols. In other embodiments, the same types of data may be transmitted via different protocols.
The communications device(s) 1202 and access point(s) 1206 may be deployed as and/or executed on any type and form of computing device, such as a computer, network device or appliance capable of communicating on any type and form of network and performing the operations described herein.
The central processing unit 1221 is any logic circuitry that responds to and processes instructions fetched from the main memory unit 1222. In many embodiments, the central processing unit 1221 is provided by a microprocessor unit, such as: those manufactured by Intel Corporation of Mountain View, Calif.; those manufactured by International Business Machines of White Plains, N.Y.; or those manufactured by Advanced Micro Devices of Sunnyvale, Calif. The computing device 1200 may be based on any of these processors, or any other processor capable of operating as described herein.
Main memory unit 1222 may be one or more memory chips capable of storing data and allowing any storage location to be directly accessed by the microprocessor 1221, such as any type or variant of Static random access memory (SRAM), Dynamic random access memory (DRAM), Ferroelectric RAM (FRAM), NAND Flash, NOR Flash and Solid State Drives (SSD). The main memory 1222 may be based on any of the above described memory chips, or any other available memory chips capable of operating as described herein. In the embodiment shown in
A wide variety of I/O devices 1230a-1230n may be present in the computing device 1200. Input devices include keyboards, mice, trackpads, trackballs, microphones, dials, touch pads, touch screen, and drawing tablets. Output devices include video displays, speakers, inkjet printers, laser printers, projectors and dye-sublimation printers. The I/O devices may be controlled by an I/O controller 1223 as shown in
Referring again to
Furthermore, the computing device 1200 may include a network interface 1218 to interface to the network 1204 through a variety of connections including, but not limited to, standard telephone lines, LAN or WAN links (e.g., 802.11, T1, T3, 56 kb, X.25, SNA, DECNET), broadband connections (e.g., ISDN, Frame Relay, ATM, Gigabit Ethernet, Ethernet-over-SONET), wireless connections, or some combination of any or all of the above. Connections can be established using a variety of communication protocols (e.g., TCP/IP, IPX, SPX, NetBIOS, Ethernet, ARCNET, SONET, SDH, Fiber Distributed Data Interface (FDDI), RS232, IEEE 802.11, IEEE 802.11a, IEEE 802.11b, IEEE 802.11g, IEEE 802.11n, IEEE 802.11ac, IEEE 802.11ad, CDMA, GSM, WiMax and direct asynchronous connections). In one embodiment, the computing device 1200 communicates with other computing devices 1200′ via any type and/or form of gateway or tunneling protocol such as Secure Socket Layer (SSL) or Transport Layer Security (TLS). The network interface 1218 may include a built-in network adapter, network interface card, PCMCIA network card, card bus network adapter, wireless network adapter, USB network adapter, modem or any other device suitable for interfacing the computing device 1200 to any type of network capable of communication and performing the operations described herein.
In some embodiments, the computing device 1200 may include or be connected to one or more display devices 1224a-1224n. As such, any of the I/O devices 1230a-1230n and/or the I/O controller 1223 may include any type and/or form of suitable hardware, software, or combination of hardware and software to support, enable or provide for the connection and use of the display device(s) 1224a-1224n by the computing device 1200. For example, the computing device 1200 may include any type and/or form of video adapter, video card, driver, and/or library to interface, communicate, connect or otherwise use the display device(s) 1224a-1224n. In one embodiment, a video adapter may include multiple connectors to interface to the display device(s) 1224a-1224n. In other embodiments, the computing device 1200 may include multiple video adapters, with each video adapter connected to the display device(s) 1224a-1224n. In some embodiments, any portion of the operating system of the computing device 1200 may be configured for using multiple displays 1224a-1224n. One ordinarily skilled in the art will recognize and appreciate the various ways and embodiments that a computing device 1200 may be configured to have one or more display devices 1224a-1224n.
In further embodiments, an I/O device 1230 may be a bridge between the system bus 1250 and an external communication bus, such as a USB bus, an Apple Desktop Bus, an RS-232 serial connection, a SCSI bus, a FireWire bus, a FireWire 800 bus, an Ethernet bus, an AppleTalk bus, a Gigabit Ethernet bus, an Asynchronous Transfer Mode bus, a FibreChannel bus, a Serial Attached small computer system interface bus, a USB connection, or a HDMI bus.
A computing device 1200 of the sort depicted in
The computer system 1200 can be any workstation, telephone, desktop computer, laptop or notebook computer, server, handheld computer, mobile telephone or other portable telecommunications device, media playing device, a gaming system, mobile computing device, or any other type and/or form of computing, telecommunications or media device that is capable of communication. The computer system 1200 has sufficient processor power and memory capacity to perform the operations described herein.
In some embodiments, the computing device 1200 may have different processors, operating systems, and input devices consistent with the device. For example, in one embodiment, the computing device 1200 is a smart phone, mobile device, tablet or personal digital assistant. In still other embodiments, the computing device 1200 is an Android-based mobile device, an iPhone smart phone manufactured by Apple Computer of Cupertino, Calif., or a Blackberry or WebOS-based handheld device or smart phone, such as the devices manufactured by Research In Motion Limited. Moreover, the computing device 1200 can be any workstation, desktop computer, laptop or notebook computer, server, handheld computer, mobile telephone, any other computer, or other form of computing or telecommunications device that is capable of communication and that has sufficient processor power and memory capacity to perform the operations described herein.
Although the disclosure may reference one or more “users”, such “users” may refer to user-associated devices or stations (STAs), for example, consistent with the terms “user” and “multi-user” typically used in the context of a multi-user multiple-input and multiple-output (MU-MIMO) environment.
Although examples of communications systems described above may include devices and APs operating according to an 802.11 standard, it should be understood that embodiments of the systems and methods described can operate according to other standards and use wireless communications devices other than devices configured as devices and APs. For example, multiple-unit communication interfaces associated with cellular networks, satellite communications, vehicle communication networks, and other non-802.11 wireless networks can utilize the systems and methods described herein to achieve improved overall capacity and/or link quality without departing from the scope of the systems and methods described herein.
It should be noted that certain passages of this disclosure may reference terms such as “first” and “second” in connection with devices, mode of operation, transmit chains, antennas, etc., for purposes of identifying or differentiating one from another or from others. These terms are not intended to merely relate entities (e.g., a first device and a second device) temporally or according to a sequence, although in some cases, these entities may include such a relationship. Nor do these terms limit the number of possible entities (e.g., devices) that may operate within a system or environment.
It should be understood that the systems described above may provide multiple ones of any or each of those components and these components may be provided on either a standalone machine or, in some embodiments, on multiple machines in a distributed system. In addition, the systems and methods described above may be provided as one or more computer-readable programs or executable instructions embodied on or in one or more articles of manufacture. The article of manufacture may be a floppy disk, a hard disk, a CD-ROM, a flash memory card, a PROM, a RAM, a ROM, or a magnetic tape. In general, the computer-readable programs may be implemented in any programming language, such as LISP, PERL, C, C++, C#, PROLOG, or in any byte code language such as JAVA. The software programs or executable instructions may be stored on or in one or more articles of manufacture as object code.
While the foregoing written description of the methods and systems enables one of ordinary skill to make and use what is considered presently to be the best mode thereof, those of ordinary skill will understand and appreciate the existence of variations, combinations, and equivalents of the specific embodiment, method, and examples herein. The present methods and systems should therefore not be limited by the above described embodiments, methods, and examples, but by all embodiments and methods within the scope and spirit of the disclosure.
The present application claims the benefit of and priority to U.S. Provisional Patent Application No. 62/768,695, entitled “FBAR-Based Local Oscillator Generation,” filed Nov. 16, 2018, the entirety of which is incorporated by reference herein.
Number | Date | Country | |
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62768695 | Nov 2018 | US |