Telecoms, Datacoms, Wireless, IoT


Power amplifier theory for high-efficiency low-cost ISM-band transmitters

23 January 2008 Telecoms, Datacoms, Wireless, IoT

Low-cost ASK and/or FSK transmitter and transceiver ICs are key components in short-range radio systems designed to work in unlicensed industrial, scientific, and medical (ISM) bands between 300 MHz and 450 MHz. Applications for these short-range devices (SRDs) include remote keyless entry (RKE), tyre-pressure monitoring (TPM), remote-control and security systems.

System design, which addresses RF link budgeting, antenna design, battery life, and regulatory concerns, among a multitude of other issues, often involves a trade-off between the output power and the current drain of the transmitter. The power amplifier (PA) on Maxim's low-cost transmitters and transceivers (such as the MAX1472, MAX7044, MAX1479, and MAX7030/MAX7031/MAX7032) possess an unique feature that allows the user to control the RF power-/current-drain tradeoff while maintaining high efficiency. Managing that trade-off is key to maximising battery life for a particular application. The Maxim ICs require no modifications to handle this trade-off; simply changing the load impedance presented to the PA can change the PA's output power and current drain.

This article by Maxim's Andy Zocher briefly overviews power amplifier theory and then presents simulation results for insight into the operation of the PA on all Maxim LFRF transmitters and transceivers.

Power amplifier overview

Class A, B, and C amplifiers

A Class A amplifier is characterised by a combination of bias point and signal level where the device's average current drain does not change with the magnitude of the input signal. In Figure 1, M1 can be assumed to be a current source of magnitude IDC.

Figure 1. Schematic diagram of a class A amplifier
Figure 1. Schematic diagram of a class A amplifier

It is well known that the impedance for maximum output power is:

RLopt = VDD/IDC

The maximum output power is defined as:

Poutmax = 0,5 ∞ VDD ∞ IDC

Therefore, the peak efficiency is 50%[1]. This analysis assumes that the drain voltage of M1 can swing to ground while still maintaining a bias current of IDC. Operation in the triode region limits the practical efficiency of Class A CMOS PAs to less than 40%. As this analysis implies, the bias current of a Class A amplifier must be changed to maintain a reasonably high efficiency for different output-power levels for a given supply voltage. Class A amplifiers are most amenable to modulation schemes where linear amplification of the input signal is important, since the bias point does not change with the magnitude of the input signal.

Class B and Class C amplifiers, however, offer higher efficiencies than the Class A amplifier, but usually at reduced output-power levels and with more distortion.

The common characteristic of all Class A, B, and C CMOS amplifiers is that the active device is considered to be a voltage-controlled current source and operation in the triode region is undesirable.

Class D, E, and F amplifiers

In contrast to Class A, B and C amplifiers where operation in the triode region should be avoided, the Class D, E, and F CMOS amplifiers rely on operation in the triode region for optimum efficiency and output power. These amplifiers are often called 'switching-mode' amplifiers and are typically used in ISM-band transmitters and transceivers because of their inherent high-efficiency operation at low voltages. In a switching-mode amplifier, the output device is driven by a large-signal square wave, as shown in Figure 2.

Figure 2. Schematic of a switching-mode amplifier
Figure 2. Schematic of a switching-mode amplifier

Think of the output transistor as a resistor that is switched on and off at the operating frequency with a given duty cycle. As Figure 2 indicates, the current in the output device can be very rich in harmonics. This harmonic content depends on the duty cycle and magnitude of the driving waveform, the FET 'on' resistance, and the impedance presented to the PA. In a Class D amplifier, the duty cycle of the input signal is varied to control the output power, a process known as pulse-width modulation (PWM). Class D amplifiers are utilised most often in audio applications where the power delivered by the amplifier changes constantly.

In a Class E amplifier, the duty cycle of the input signal is fixed. The matching network is designed to minimise the voltage at the drain terminal of the switching while the switch is on. By minimising the voltage across the output device while the output device draws current, one can minimise the power dissipated by the switching device and, therefore, maximise PA efficiency.

Similar to a Class E amplifier, a Class F amplifier requires special attention to the harmonic impedances in the design of the matching network in order to enhance efficiency. In general, the matching circuits for Class F amplifiers are more complex because of the design constraints placed on harmonic impedances.

Switching-mode amplifiers

All Maxim CMOS ISM transmitters and transceivers provide an open-drain PA output. The duty cycle of the driving signal is a constant 25% over the full range of 300 MHz to 450 MHz. The user will design the matching network that provides the desired output-power level, current drain, and harmonic performance.

A simple model for a switching mode PA output is illustrated in Figure 3.

Figure 3. Simplified model of a switching-mode amplifier
Figure 3. Simplified model of a switching-mode amplifier

In this illustration, Rsw is the on-resistance of the FET, Cpa is the effective sum of the device parasitic capacitances, Cpkg is the package capacitance, and Cboard is the board capacitance. Table 1 summarises the typical switch resistance and capacitance for the Maxim ISM transmitters and transceivers.

Table 1. Switch resistance and capacitance summary
Table 1. Switch resistance and capacitance summary

Note that the typical switch resistances are given for VDD = 2,7 V and that the board parasitic capacitance can vary significantly with layout. Class E and F amplifier theory and matching network-design equations are well documented in literature[2,3,4] and the reader can refer to these for additional guidance. Considering the scope of this application note, it is sufficient to say, firstly, that the matching network and, therefore, the waveform at the PA output node must be designed to maximise the PA efficiency. Secondly, the maximum efficiency occurs when the voltage across the device is low when the switch is closed.

Switching-mode amplifier simulations

In many low-cost ISM applications, the system designer may not have much flexibility in design time, cost, or complexity to optimise the PA matching network for maximum efficiency. Small (high-Q), inexpensive antennas are generally more efficient at transmitting higher frequencies, but regulatory concerns limit the harmonic content of the transmitted signal. Therefore, harmonic attenuation by the matching network is extremely important. Considering these facts, we analysed the switching PA with the assumption that the output-matching network will be designed so that the voltage at the drain is highly filtered and therefore sinusoidal. See Figure 4.

Figure 4. Switching-mode amplifier waveform
Figure 4. Switching-mode amplifier waveform

Assuming that the PA is loaded with a resistance of RL and that the output voltage can swing as low as 0,1 V, the efficiency of the PA can be expressed as:

If VDD = 3 V, Rsw = 22 Ω and RL = 400 Ω, then the PA efficiency is 80% with an output power of 10,2 dBm. Of course, the voltage waveform, the switch resistance, and the load impedance are interdependent, so the above equation cannot be used as an accurate predictor of efficiency for all combinations of the variables. For this reason, SPICE has been used to model the performance of an ideal switching-mode PA. An ideal switched resistance of 11 or 22 Ω is placed across a parallel tank circuit with a Q of 10. The simulation schematic is illustrated in Figure 5; the simulated results are shown in Figure 6.

Figure 5. Simulation schematic for an ideal switching-mode amplifier
Figure 5. Simulation schematic for an ideal switching-mode amplifier

Figure 6. Ideal switching-mode amplifier performance vs. load resistance
Figure 6. Ideal switching-mode amplifier performance vs. load resistance

As Figure 6 indicates, one of the most significant advantages of the switching-mode PA is that the output power can be varied over a wide range by changing the load presented to the PA while excellent DC-to-RF efficiency is maintained. In addition, a switching amplifier with a lower switching resistance can put out more power at a higher efficiency, when compared to a higher switching resistance. The drawback of a lower switching resistance is that a higher driver current is required to charge and discharge the parasitic capacitance of the switching device.

To maximise the efficiency of a switching-mode amplifier, the switch must be turned on only near a minimum in the voltage waveform. For the example of the switched resistor loaded with a simple parallel resonant circuit, one can satisfy this requirement by minimising the imaginary component of the impedance presented to the PA at the operating frequency (including the parasitic capacitances of the device, package, and board). If the network is off resonance, or detuned, the efficiency can degrade significantly. Figure 7 illustrates the performance of an ideal switching-mode amplifier if the matching network is off resonance for Q=10 and Q=5.

Figure 7. Ideal switching-mode amplifier performance vs. detuning
Figure 7. Ideal switching-mode amplifier performance vs. detuning

As seen in Figure 7, a current-drain minimum occurs at resonance. This fact can be used to verify that a given network has been optimised for a particular operating frequency. It should also be noted that the SPICE simulations assume that: the switch resistor can be turned on and off instantly; the parasitic capacitance of the switched device does not change as the device is turned on and off; and there is no loss or parasitic impedances in the tank inductor or capacitor. These factors can degrade the performance of an actual switched-mode amplifier when compared to the ideal simulations. An iterative approach is often required to optimise the PA matching network for a particular application.

References

[1] Behzad Razavi, RF Microelectronics, Prentice Hall, Engelwood Cliffs, NJ, 1997.

[2] N.O. Sokal and A.D. Sokal, 'Class E: A New Class of High Efficiency Tuned Single-Ended Switching Power Amplifiers', IEEE J. Solid-State Circuits, vol. SC-10, pp. 168-176, June 1975.

[3] Scott Kee, Ichiro Aoki, Ali Hajimiri, and David Rutledge, 'The Class E/E Family of ZVS Switching Amplifiers', IEEE Transactions on Microwave Theory and Techniques, MTT-Vol.51, No. 6, May, 2003.

[4] High-Efficiency Class-E Power Amplifiers, Part I & II, Eileen Lau, Kai-Wai Chiu, Jeff Qin, John Davis, Kent Potter and David B. Rutledge, QST, Journal of the American Radio Relay League, May & June 1997.



Credit(s)



Share this article:
Share via emailShare via LinkedInPrint this page

Further reading:

Power amps for portable radio comms systems
iCorp Technologies Telecoms, Datacoms, Wireless, IoT
CML Micro expands its SµRF product portfolio with a pair of high efficiency single- and two-stage power amplifiers that offer outstanding performance for a wide range of dual-cell lithium battery-powered wireless devices.

Read more...
RF agile transceiver
Altron Arrow Telecoms, Datacoms, Wireless, IoT
The AD9361 is a high performance, highly integrated RF Agile Transceiver designed for use in 3G and 4G base station applications.

Read more...
Choosing a GNSS receiver
RF Design Telecoms, Datacoms, Wireless, IoT
Applications requiring sub-ten-meter positioning accuracy today can choose between single-band or dual-band technology. While this decision might seem as simple as flipping a coin, it is far from that.

Read more...
Tri-Teq’s latest range of filters
RFiber Solutions Telecoms, Datacoms, Wireless, IoT
Tri-Teq recently presented its latest filter products, which included passive and co-site mitigation filters (lumped element and suspended substrate technologies) and tunable filters (bandpass and harmonic switched filters).

Read more...
Why GNSS positioning precision is enabling the next wave of IoT applications
iCorp Technologies Editor's Choice Telecoms, Datacoms, Wireless, IoT
While high-performance GNSS implementations are achievable with few limitations, most real-world applications must balance power consumption, form factor and accuracy requirements.

Read more...
The evolution of 4D imaging radar
Altron Arrow Telecoms, Datacoms, Wireless, IoT
4D imaging radar is redefining automotive sensing with unmatched precision, scalability and resilience and, as global adoption accelerates, this technology is poised to become a cornerstone of autonomous mobility.

Read more...
Links Field Networks: The perfect fit for telematics in Africa
Links Field Networks Telecoms, Datacoms, Wireless, IoT
Operating at the intersection of global SIM innovation and local market intelligence, Links Field Networks has emerged as a premier provider of telematics-oriented connectivity across Africa and beyond.

Read more...
RF direct conversion receiver
iCorp Technologies Telecoms, Datacoms, Wireless, IoT
The CMX994 series from CML Micro is a family of direct conversion receiver ICs with the ability to dynamically select power against performance modes.

Read more...
Bridging the future with RAKWireless WisNode devices
Otto Wireless Solutions Telecoms, Datacoms, Wireless, IoT
The WisNode Bridge series by RAKWireless is designed to convert traditional wired industrial protocols like RS485 and Modbus into LoRa-compatible signals.

Read more...
Mission-critical RF transceiver
Vepac Electronics Telecoms, Datacoms, Wireless, IoT
The Iris SQN9506 from Sequans Communications is a wide-band RF transceiver that operates from 220 MHz to 7,125 GHz.

Read more...









While every effort has been made to ensure the accuracy of the information contained herein, the publisher and its agents cannot be held responsible for any errors contained, or any loss incurred as a result. Articles published do not necessarily reflect the views of the publishers. The editor reserves the right to alter or cut copy. Articles submitted are deemed to have been cleared for publication. Advertisements and company contact details are published as provided by the advertiser. Technews Publishing (Pty) Ltd cannot be held responsible for the accuracy or veracity of supplied material.




© Technews Publishing (Pty) Ltd | All Rights Reserved