An RF agile transceiver is a software-defined radio transceiver that integrates an ADC/DAC, synthesizer, LNA, PA, duplex filter, etc. (as shown in Figure 1 below). It is located between the digital baseband section (FPGA/DSP) and the RF antenna. It typically uses an SPI interface to communicate with the processor and uses a CMOS/LVDS standard digital interface to connect to the digital baseband I/Q stream.
Radio frequency (RF) agile transceivers can generally be divided into two categories: dedicated narrowband RF transceiver chips and software-defined broadband high-performance RF transceiver chips. These chips can perform functions such as RF signal spectrum shifting, signal conditioning, selectable band filtering, and digital-to-analog conversion. With the rapid development of electronic technology and the widespread application of large-scale integrated circuits, RF transceiver chips have found extensive applications. According to relevant data, the global RF agile transceiver market size was approximately US$4.9 billion in 2021, maintaining a high growth rate compared to 2020. Ultra-high-speed RF agile transceiver chips are core components in applications requiring broadband and high sampling rates, such as software-defined radio, data links, and radar. In defense and aerospace fields, they directly determine the accuracy and range of radar systems. In the civilian sector, they meet the performance requirements of 4G and 5G. Therefore, high-performance RF agile transceiver chips play a crucial role in modern high-tech information products, and their application areas are continuously expanding as the information industry penetrates various industries.
Analysis of Application Areas of RF Agile Transceivers:
The downstream applications of RF agile transceivers mainly include: communications, aerospace and defense, and high-speed instrumentation applications, specifically including: radar, satellite internet, wireless communications, and other fields.
1) Radar Field
Radar signal processing methods can be categorized into analog phased array radar and digital phased array radar systems. Traditional analog phased array radar uses phase shifters and power combining networks for radio frequency radar signal synthesis, lacking multi-beam capabilities. Newer digital phased array radars, however, perform phase synthesis in the digital domain, enabling simultaneous processing and distribution of a large number of beams. Digital array radar is a fully digital array antenna radar based on beamforming mechanisms, where both received and transmitted beams are digitally formed. Unlike traditional analog phased array radar, its core feature is equipping each phased array channel unit or module with an equal number of ADCs/DACs to achieve massive multi-beam spatial synthesis. It boasts advantages such as rapid beam scanning, spatial orientation and spatial filtering, and spatial power combining capabilities. Its core digitization requires a large number of high-performance ADCs/DACs operating at the unit-level or module-level radio frequency components to convert the analog intermediate frequency signals after radar transceiver frequency conversion into digital signals for high-precision digital domain beam synthesis and processing. Due to the Wassenaar Arrangement, the domestic market demand for such high-performance ADCs/DACs is strong but has long been unmet. In the field of digital phased array radar, the high-performance radio frequency chip products developed by the company provide bandwidth and dynamic performance support for the core performance indicators of digital phased array radar systems, such as detection range and velocity resolution, which greatly facilitates functions such as synchronization between digital phased array radar channels, waveform generation, frequency agility, and data throughput.
2) Satellite Internet
Broadband internet communication solutions often employ intermediate frequency (IF) digital phased array (IF) schemes for simultaneous multi-point, multi-beam focused tracking services to maximize the utilization of limited satellite solar energy and provide services to as many concurrent users as possible. Considering the lightweight deployment of satellites, a fully integrated signal processing solution is required. By connecting a high-bandwidth, fully integrated RF transceiver chip in series with each IF digital phased array channel or module, flexible multi-beam pointing and tracking broadband communication service capabilities can be achieved. In the low-Earth orbit (LEO) satellite internet field, the implementation of high-performance broadband RF agile transceiver chips can greatly simplify the complexity of the RF system in satellite internet, effectively resolving the contradiction between lightweight high integration and high performance. Furthermore, in the LEO satellite internet ground terminal field, the company's low-power, fully integrated RF agile transceiver chips can also meet the application requirements for fully integrated monolithic RF agile transceiver chips in ground satellite internet terminal equipment.
3) Wireless Communication Systems
With the development of communication technology and the evolution of information-based and digital warfare, in order to improve comprehensive combat capabilities and communication support capabilities, it is necessary to integrate different wireless communication systems and standards, realizing multi-mode, multi-frequency radio transceiver transmission and processing capabilities within a single communication device. For example, the US Joint Tactical Communications Terminal (JTRS) integrates self-organizing network, tactical internet, data link, and satellite communication functions within a single terminal, and can be modularly expanded to accommodate more communication systems and interconnection needs. These wireless communication systems all require frequency conversion, signal conditioning, analog-to-digital conversion, and signal processing of radio frequency signals. Traditional wireless communication systems are developed only for single frequency points and standards, and cannot meet the demands of multi-mode, multi-frequency, and future-oriented scalable wireless communication. To solve this problem, the latest multi-mode, multi-frequency wireless communication systems are designed using a software-defined radio architecture. Its characteristics include a single communication link supporting multiple frequency points, multiple bandwidths, multiple modulation modes, multiple linearities, and high anti-interference capabilities. All radio frequency channel links and even signal processing units can be flexibly configured through software. Its core is a software-defined, reconfigurable radio frequency transceiver chip and signal processing chip. In the field of wireless communication systems, software-defined radio frequency agile transceiver chips can achieve a frequency coverage range of 30MHz to 7GHz, and have flexible and configurable filters, gain regulators, and high-speed frequency hopping capabilities. They can solve the problem of agile configuration capabilities for the signal conditioning software of the RF link in such multi-mode multi-frequency wireless communication systems.
Current Status, Development Trends, and Comparative Analysis of Similar Projects (Products) at Home and Abroad
Foreign Similar Products
Major foreign manufacturers or suppliers of RF agile transceivers include:
Analog Devices Inc. (ADI)
Texas Instruments Inc.
Lime Microsystems Inc.
Analog Devices (ADI) RF Agile Transceivers
ADI's integrated wideband RF transceiver product family provides highly integrated carrier-level radio system-on-chip (SoC) solutions for communications, aerospace and defense, and high-speed instrumentation applications. In addition to their small size, low weight, and low power consumption (SWaP) characteristics, these devices offer rich functionality and can be used as a common design platform for various designs and versions.
The AD9361 is ADI's first-generation RF agile transceiver and has received widespread attention since its release. To date, ADI has released its sixth generation of RF transceivers, and the product series now has its own dedicated brand—RadioVerse technology and design ecosystem.
a) AD9361
The AD9361 RF Agile Transceiver is a high-performance, highly integrated, programmable, and wideband chip that integrates an analog-to-digital converter (ADC), a digital-to-analog converter (DAC), a mixed-signal baseband section, an RF front-end, a frequency synthesizer, and a direct-conversion receiver, simplifying design.
The AD9361 is a high-performance, highly integrated RF Agile Transceiver™ for 3G and 4G base station applications. Its programmability and wideband capabilities make it ideal for a variety of transceiver applications. The device integrates an RF front-end with a flexible mixed-signal baseband section, an integrated frequency synthesizer, and a configurable digital interface for the processor, simplifying design implementation. The AD9361 receiver LO operates from 70 MHz to 6.0 GHz, and the transmitter LO operates from 47 MHz to 6.0 GHz, covering most licensed and unlicensed bands, with supported channel bandwidths from below 200 kHz to 56 MHz.
b) ADRV9002 The ADRV9002 is an evolution of the AD9361, a high-performance, highly integrated agile RF transceiver designed for 3G/4G as well as military and defense applications. The ADRV9002 features three outstanding new features that make it an attractive option compared to other RFIC products.
Improved RF Fidelity
First, overall RF performance has been improved in several crucial aspects. Linearity is a critical consideration for any RF system: better linearity means that high input levels of RF signals can be represented more accurately without distortion. The ADRV9002's RF receiver front-end exhibits significantly improved linearity while delivering a typical noise figure of 12 dB and a typical input IP3 (IIP3) of >+20 dBm. Using an off-chip low-noise amplifier (LNA), a wideband noise figure of less than 8 dB can be achieved while maintaining an IIP3 of >+15 dBm. With appropriate external LNAs and pre-selected filters, the typical power consumption of each RF receiver in the ADRV9002, including the data converter, is less than 1 W, representing a significant step forward from state-of-the-art technology.
However, this improved linearity is only useful if the analog-to-digital converter (ADC) digitizing the baseband signal can also provide the same level of dynamic range without distortion. The higher-performance ADC in the ADRV9002 is 16-bit, an increase from the 12-bit ADC offered in the AD9361. The increased dynamic range enables the RF receiver to simultaneously and accurately burst large RF signals and very weak RF signals without compromise. These improvements in RF fidelity will allow the ADRV9002 to be used in highly challenging RF environments and defense applications, including tactical handheld land mobile radio communications, signals intelligence (SIGINT), and electronic warfare (EW), where power budget and minimized physical size are key priorities.
Extended RF Tuning Range
The ADRV9002 boasts the widest RF tuning range of all ADI broadband RF transceivers, providing full coverage from 30 MHz to 6 GHz. Previously, accessing the entire VHF band down to 30 MHz required an RF block converter before the RFIC to convert the VHF frequency to an RF frequency within the RFIC's tuning range. This requirement for the RF block converter increased the RF receiver's power consumption by 1-2 watts and added to the physical size and complexity of the design. With the new ADRV9002, the RF block converter is no longer needed, enabling a smaller, lower-power solution compared to previous generations. The hardware platform developed around the ADRV9002 now supports all applications, from handheld tactical radios in the VHF band to cellular, Wi-Fi, and Bluetooth radios below 6 GHz.
The ADRV9002 is offered as an RF transceiver with 2x2 MIMO capability, featuring two RF receivers + two RF transmitters and two independent tunable LO sources to support Frequency Division Duplex (FDD) operation. It supports a maximum RF channel bandwidth of 40MHz, with a sampling rate of 61.44 Msamples/sec per channel. For these applications, the RFIC can operate two RF receivers at one RF frequency and two RF transmitters at another.
The two independent tunable LO sources within the ADRV9002 can be used alternately in a unique manner: each LO source can be matrix-routed internally, allowing one LO to power one RF receiver, and the second LO to feed a second RF receiver. Therefore, a single ADRV9002 RFIC can effectively be used to simultaneously receive two independent RF channels between 30MHz and 6GHz.
Several military and defense communications use cases can benefit from these advancements, including: a single primary RF receiver channel plus a second scan/search RF receiver channel for cognitive radio deployments.
Simultaneous reception of downlink and uplink RF signals from FDD radio systems.
Staying together two independent tunable RF receivers effectively doubles the RF reception bandwidth from 40 MHz to 80 MHz (Note: the combination of the two RF channels needs to be done digitally outside of the RFIC in the FPGA or CPU).
Microsystems RF Agile Transceivers
Since 2005, Lime has been working to fundamentally change the wireless landscape. Microsystems' single-chip, fully programmable transceivers shattered the consensus that software-defined RF components could not be highly integrated. To make wireless technology accessible to a wider range of system designers, Microsystems offers not only semiconductor components but also open-source SDR products.
a) LMS7002M
The LMS7002M is Lime Microsystems' second-generation FPRF device, a newly released 65nm CMOS chip with a dual transceiver architecture. The frequency range has been expanded to now cover 50MHz to 3,800MHz, supporting lower frequencies frequently used in traditional military radios. Furthermore, the upper limit can be easily extended by adding external PLLs and mixers to cover frequencies used in satellite communications.
The LMS7002M includes an on-chip microcontroller; this setup simplifies chip calibration, which would otherwise involve complex interactions with baseband logic. It calibrates DC offset, TX/RX LPF bandwidth tuning, transmit local oscillator leakage feedthrough, IQ gain, and phase mismatch in the transmit and receive chains, as well as handling on-chip resistor and capacitor calibration. In most applications, initial calibration is sufficient; however, for military wireless systems operating at extreme temperatures and frequencies, the microcontroller can be instructed to recalibrate to ensure optimal performance. Power-saving features include the ability to selectively shut down any module when not needed, and settings and calibrations are preserved if the power supply to the SPI memory remains constant.
LMS8001
The LMS8001 is a single-chip up/down RF shifter with continuous coverage up to 10 GHz. Features include four RF channels, an integrated PLL with programmable LO assignment, and auxiliary circuitry such as a bias block, integrated LDO, and a temperature sensor.
Single-chip up/down RF shifter with continuous coverage up to 10 GHz RF output range
Four independent, highly reconfigurable RF paths driven by the same LO
Fully differential signaling
Few external components
Low-voltage operation, 1.2V and 1.8V. Integrated LDO allows operation from a single 1.8V supply
56-pin QFN package
Serial interface
Power-down control provided via the ENABLE pin and/or equivalent SPI register
Synchronous loading of preset operation profiles via GPIO pins. Further options are available using the corresponding SPI register.
Home Similar Products
The domestic RF agile transceiver market started relatively late, and currently, it mainly focuses on imitating and benchmarking foreign RF agile transceivers.
One is a company engaged in the research, development, production, and sales of high-performance RF transceivers and high-speed, high-precision AD/DA converters. Its RF agile transceiver product development roadmap is shown in Figure 6 below.
The company's product similar to Analog Devices' AD9361 is the CX9261A. The CX9261A RF transceiver chip is a highly integrated radio frequency (RF) transceiver, essentially comparable to Analog Devices' ADRV9002. The CX9261A is widely applicable, integrating the necessary RF, mixed-signal, and digital modules into a single device. Its programmability allows this wideband transceiver to be compatible with various communication standards, including frequency division duplex and time division duplex systems. Furthermore, this programmability allows for connection to various baseband processors via a single-channel 8/16-bit parallel data port and dual-channel 16/32-bit parallel data ports.
The CX9261A provides DC calibration and an automatic gain control system, maintaining high performance under various temperature and input signal conditions. Additionally, the device includes several test modes, allowing system designers to input test signals and create internal loopback patterns for design debugging and application-specific radio configuration optimization.
The CX9261A has an RF signal input/output frequency range of 30MHz to 7GHz. It features an added IQ calibration tracking algorithm for improved image rejection performance; a local oscillator synchronization function to ensure multi-chip synchronization even with fractional-division local oscillator frequencies; and a third receiver channel with the same frequency coverage as the other two transceiver channels, facilitating DPD functionality. The chip integrates a DPD module. Phase noise and transceiver linearity have also been optimized.
Regarding the receiver, the built-in low-noise amplifier module has been removed from the RF transceiver chip, and the analog gain adjustment range is 31dB. The transmit link output energy adjustment range is >=35dB. The internal system block diagram of the chip is shown in Figure 7 below.
The RF transceiver chip is based on a zero-IF architecture, integrating an on-chip mixer, a PLL programmable bandwidth analog filter, a 16-bit Sigma-Delta ADC module, and image rejection algorithms. The ADC module features 16x oversampling.
The receiving channel employs a direct conversion architecture, directly converting the input signal to baseband. This architecture consists of a mixer, gain amplifier, bandwidth-variable filter, and a high-speed, high-precision ADC. The receiving channel features calibration capabilities, a low noise figure, and high image rejection performance, which improves its RF performance. The 16-bit high-performance broadband ADC provides a large dynamic range.
The zero-IF receiver is implemented using direct down-conversion. Due to the IQ conversion method, image rejection can be calibrated in the digital domain. Regarding linearity, the RF transceiver chip's built-in high-linearity mixer and amplifier allow for distortion-free filtering of interference in the digital domain.
The transmitting channel also employs a direct conversion architecture, consisting of a mixer, a programmable gain amplifier, bandwidth-variable filter, and a high-speed, high-precision DAC. The transmit channel features both local oscillator leakage calibration and IQ quadrature calibration, effectively suppressing local oscillator leakage and image interference, resulting in high clutter suppression and superior RF performance.
Regarding the local oscillator implementation, the RF transceiver chip supports two local oscillator generation modes: one generated via an on-chip PLL module, and the other via an externally supplied local oscillator.
The RF transceiver chip's channel 1 and channel 2 each have an internal auxiliary ADC. The sampling clock of this module is directly connected to the RF transceiver chip's reference clock, and the sampling frequency is consistent with the reference clock. The auxiliary ADC converts the analog signal input from the on-chip temperature sensor into a digital signal to monitor the internal operating temperature of the RF transceiver chip. Simultaneously, the auxiliary ADC module can also be used to monitor the DC voltage output of external devices such as external power amplifiers, converting the voltage into a digital value for RSSI detection.
Channel 2 of the RF transceiver chip has an internal auxiliary DAC used to adjust the external crystal oscillator frequency. Users can change the auxiliary DAC's operating state and write digital codes to it via SPI write operations.
A comparison of the specifications of the CX9261A and the ADRV9002 from Analog Devices (ADI) is shown inbelow:
The CX9261A is similar to the ADRV9002 chip in transceiver structure, supporting the DPD algorithm and a transceiver channel with higher linearity. However, compared with the ADRV9002, it has significant advantages in terms of the instantaneous bandwidth range of the supported signal (75M), frequency hopping speed (ping-pong frequency hopping, 40000 hops/s), independent feedback channel, and multi-chip synchronization support.
RF Agile Transceiver Products
The B9361 is a high-performance, highly integrated broadband programmable RF transceiver developed by Institute 772, featuring dual transmit and receive capabilities. It is designed for applications such as phased array radar, satellite communication, telemetry and control communication, data links, UAVs, and defense electronics. This chip integrates an RF front-end, a flexible mixed-signal baseband, ADC/DAC, frequency synthesizer, and a configurable digital interface. It features wide bandwidth, variable bandwidth, and software-defined characteristics, significantly simplifying the design process of communication systems and reducing system size, power consumption, and cost. The chip operates at frequencies from 70MHz to 6GHz, supporting channel bandwidths from less than 200kHz to 56MHz.
The B9361's two independent direct-conversion receive channels both exhibit excellent noise figure and linearity. The receive channels employ a quadrature down-conversion architecture, with each channel featuring independent automatic gain control (AGC), DC offset correction (DCOC), quadrature correction, and digital filtering functions. Each channel features two high dynamic range analog-to-digital converters (ADCs) that digitize the quadrature I-channel and Q-channel signals via a low-noise amplifier (LNA), mixer (MIXER), analog baseband filter (AFilter), and ADC. A 12-bit output signal is then generated at a Nyquist sampling rate through a configurable decimation filter bank and a variable-coefficient 128th-order finite impulse response (FIR) filter.
The transmit channel employs a direct conversion architecture, achieving low noise and good modulation accuracy through a variable-coefficient 128th-order FIR filter, configurable interpolation filter, digital-to-analog converter (DAC), AFilter, mixer, and power preamplifier (PA). This transmitter design delivers excellent TX EVM, less than -38 dB, providing a design margin for the selection of external power amplifiers. A transmit (TX) power detector can be used as a power detector, enabling highly accurate TX power measurement.
The Focus of RF Agile Transceiver Development
A new era for RF (radio frequency) devices is dawning due to significant advancements in the research, design, and implementation of communication systems. In particular, the development of communications, aerospace, and defense, as well as high-speed instrumentation, the Internet of Things (IoT), and cooperative sensor networks (CSNs) are driving the adoption of novel solutions to dynamically meet the ever-increasing data volume demands of broadband high-speed communication and mobile communications spectrum. However, current state-of-the-art technologies and devices require a reasonable maturation time to meet current and upcoming communication standards. Therefore, research into various technologies, not only to develop flexible microwave components with reconfigurable characteristics but also to achieve appropriate frequency tuning, requires analysis from different domains. Flexible components can be used for information transmission and reception in different frequency bands, enabling multi-band and multi-standard services. Combining these flexible components with platforms based on Software-Defined Radio (SDR) and Cognitive Radio (CR) can provide a promising solution for service convergence within a single device, as well as versatility in terms of operating frequencies.
The development of modern wireless communication devices is constrained by stringent multi-standard and multi-band requirements. The proliferation of wireless voice and data communication standards implemented in mobile devices presents challenges not only to IC design but also to packaging and board development. The main challenges for future mobile devices will be, on the one hand, reducing integrated devices and PCB area to achieve lower costs through optimized System-on-Chip (SoC) and System-on-Package (SiP) technologies. On the other hand, the coexistence of numerous RF front-ends in multi-band transceiver ICs also presents challenges that need to be addressed. This trend is moving towards monolithic radio architects. This has led to a demand for frequency-flexible, multi-mode, multi-standard RF architectures in nanoscale CMOS-based system-on-chip solutions.
Figure 11 illustrates a multi-mode, multi-standard, reconfigurable architecture. Signal transmission and reception are performed through continuous and wide-range tuning operations based on integrated circuits and tunable components. RF signal processors, along with various mixers, cover a wide spectrum, while tunable components are used to control and optimize narrowband signals within the continuous tuning range. Furthermore, significant optimization of the number of parallel chains can be achieved through the use of tunable or voltage-controlled components. This allows the same hardware to be adapted to another service, or to accommodate any mismatch in antenna impedance under changing conditions. Therefore, equipment can be reconfigured to improve its performance and overall efficiency by analyzing analog measurements (such as antenna matching and power consumption) and digital measurements (such as bit error rate (BER) and error vector magnitude (EVM)).
The components of a high-frequency agile transceiver can be divided into distinct cores along the transmitter (Tx) and receiver (Rx) paths: a wide-frequency-range transceiver with a tunable RF front-end (red area), baseband signal processing, and a control unit (green area) that communicates with the entire platform. This includes reconfiguration of frequency, signal bandwidth, and modulation schemes, and adaptive control of tunable components such as the matching network (yellow/blue area).
On the transmitter side, different custom mobility standards can be adaptively set, such as in terms of RF bandwidth and operating frequency. The main idea is that after the IQ signals are set for transmission in baseband, they are converted to analog signals via a D/A converter. In this way, the IQ signals are then amplified and mixed to the desired RF center frequency. Subsequently, the control unit, along with the DC supply voltage, selects an appropriate bias voltage for the matching network using a lookup table or adaptive algorithm to perform precise front-end reconfiguration on the amplifier or antenna side. This can be performed for the required power level, defined operating frequency, and channel bandwidth.
On the receiver side at the antenna input port, the RF signal is monitored by a matching circuit module and appropriately adapted in terms of power, frequency, and bandwidth as in the transmitter case. The signal is then mixed for direct down-conversion by a signal processor. The resulting IQ signal is subsequently digitized by an A/D converter and processed in baseband.
Reconfigurability, a crucial concept in communication systems, was foreseen over 20 years ago. Reconfiguring radios to achieve higher hardware performance is not only a requirement but also a necessity in current radio architectures used for services and portable devices in the sub-6 GHz spectrum. Advances in software and hardware development have consistently aimed at this idea, leading to the evolution of key concepts in modern radio architectures, such as software-defined radio and cognitive radio.
Ideally, software-defined radio has the ability to adapt RF bands within the spectrum determined by the user or platform itself, i.e., performing frequency conversion and/or coexistence considering different air interfaces. Furthermore, by using cognitive radio technology alongside the radio, a degree of identification can be provided based on observation or perception of the environment. This means performing reconfiguration of the communication platform to utilize available resources.
The number of circuits present in the device is continuously optimized and reduced. For example, according to the semiconductor technology roadmap, Moore's Law for nanoscale integrated circuits and carbon nanotubes are considered alternatives to silicon technology in future microelectronics. This has thus proposed an ambitious revolution in communication standards and protocols. However, current devices in mobile systems are largely inadequate to meet these standards and protocols. Examples include IMT-Advanced for 4G and 5G, which is not yet standardized. Therefore, these upcoming communications require hardware architectures that are still limited by the complexity and high power consumption represented by multi-band and multi-standard devices.
With the steady growth of services and applications for portable devices, there is an urgent need for dynamic and adaptive communication methods. Therefore, flexible reconfiguration should be considered at every layer of a typical communication system, from the application layer to the physical layer. While clear roadmaps for protocols and standards have been established, the RF front-end of the device encounters a bottleneck at the physical layer.
From a hardware perspective, CMOS-based transceivers that are fully integrated for SDR applications have emerged in recent years.
Figure 12 shows an overview of current multi-band RF chip transceivers. These RF signal processors are used in deployments that comply with the standards and technologies adopted in today's mobile communication systems.
This transceiver can leverage its flexibility to enable additional implementations of reconfigurable transceivers based on CR and SDR technologies. Three different signal processors are compared: Lime Microsystems' LMS6002D and LMS7002D, and Analog Devices' AD9361.
The development of modern wireless communication devices is driven by stringent multi-standard and multi-band requirements. The numerous wireless voice and data standards implemented in mobile devices pose challenges not only to IC design but also to packaging and circuit board development. On one hand, a major challenge for future RF transceivers is reducing costs through optimized System-on-Chip (SoC) and System-in-Package (SiP) technologies, thereby reducing integrated devices and PCB area. On the other hand, the coexistence of numerous RF front-ends in multi-band transceiver ICs presents challenges that need to be addressed. The trend is towards single-chip radio architectures. This has led to the demand for frequency-flexible, multi-mode, and multi-standard RF architectures in nanometer-scale CMOS-based SoC solutions.