HOPERF AN212 RF IC and Modules and Digital Sensor User Guide
- June 12, 2024
- HOPERF
Table of Contents
HOPERF AN212 RF IC and Modules and Digital Sensor
Product Information
Product Name: CMT2300A Tx Matching Guide
Product Model: AN212 Working
Frequency: 140 – 1020 MHz
Modulation: (G)FSK/OOK
Main Function: Transceiver Configuration
Register: Included Package: QFN16
Product Usage Instructions
- Class-E PA Switch Description: The basic structure of the PA circuit topology is shown in Figure 1. It consists of VDD_Tx, Lchoke, Vdrain, C, L, Lx, RF_OUT, Cs, and RLOAD.
- Class-E PA Matching Process: The matching process for the Class-E PA is summarized as follows: 2.1 Select a suitable Choke inductor: Choose an appropriate energy inductor (choke inductor) based on the frequency. The recommended inductance values for different frequencies are listed below: – Frequency 315 MHz: 270 or 330 nH – Frequency 433.92 MHz: 180 or 220 nH – Frequency 868 MHz: 100 nH – Frequency 915 MHz: 100 nH
- 2 Calculate the optimal load impedance Z-Load according to the output power: Use the formulas derived from Class-E theory to calculate the optimal load impedance Z-Load based on the output power. The formulas are as follows: PAC_out = (2 VDD^2) / (4 R (1 + X^2)) c = 2 / (1 + X^2) X = R tan(θ) = 1.1525 * R
- Select the appropriate series resonant capacitor C0: Based on the calculated optimal load impedance Z-Load, select the appropriate series resonant capacitor C0 as shown in Figure 1.
- Calculate L0 according to the selected C0: Calculate the value of L0 based on the selected C0.
- Calculate the L-shaped matching component values Lx and Cx: Using the optimal load resistance Z-Load, calculate the values of Lx and Cx for the L-shaped matching components. 6. Design a T-type low-pass filter: Design a T-type low-pass filter to complete the impedance match and transform Rant to Z-Load, as shown in Figure 2.
Impedance Match to Transform Rant to Zload
Note: For more detailed information on the working principles of Class E and the calculations involved, readers can refer to external resources available on the Internet. Please refer to the user manual for further instructions and guidelines on using the CMT2300A Tx Matching Guide.
Introduction
CMT2300 integrates a highly efficient 20dBm Class-E PA structure. This application document describes how to match the Class-E PA structure.
Usually, a high quality match requires the following points:
- Achieve the output power as design
- Consume the minimum current, i.e. the maximum efficiency.
- Satisfy the local safety requirements of users, such as ETSI, FCC, ARIB, etc
- The output power is insensitive to the change of antenna impedance
- Use the least components to optimize the cost
The part number covered in this document is shown in the following list.
Part Number Covered in this Document
Part number| Working frequency| Modulation| Main Function|
Configuration| Package
---|---|---|---|---|---
CMT2300A| 140 – 1020 MHz| (G)FSK/OOK| Transceiver| Register| QFN16
Class-E PA Switch Description
For conventional power amplifiers, matching is relatively simple and accomplished by making the load impedance and PA output impedance matching together whether it belongs to class A, class B or class C. The Class-E power amplifier is completely different from the traditional type. It is a switching power amplifier with design of changing the voltage and current waveform of the drain of the switch, so that there is no V-I overlap when the switch is closed and finally achieve high efficiency power amplifier. The basic structure of Class-E PA is shown.
Basic Structure PA Circuit Topology
L0-C0 resonates in series at the working carrier frequency, and Cshunt stores
energy during switch off, all of which forms an attenuated load network with
inductors Lx and load resistors Rload. In the switching transient process, the
energy stored in Cshunt while C0, L0 supplies energy for the load resistance
Rload, which is the damping resistance in load network. Its value has a great
influence on the drain voltage waveform of the switch. The high efficiency of
Class-E PA is achieved by no overlapping of the leakage waveform V-I of the
switch, so it is important to select the appropriate load resistance Rload.
When the load resistance Rload is too high, the current of the resonant loop
and the voltage to charge the capacitor Cshunt is low. When it is superimposed
with the charging voltage of the power supply VDD to the capacitor Cshunt, the
voltage on the capacitor Cshunt is not zero at the moment when the switch is
from cutoff to on-off, and must be discharged through the switch during the
on-off period. This situation not only wastes energy, but also causes spike
current. When the load resistance Rload is too low, not only the current in
the resonant loop but also the voltage to charge the capacitor Cshunt is high.
When it is superimposed with the voltage of the power supply VDD to charge the
capacitor Cshunt, the voltage on the capacitor Cshunt will swing to a negative
value below zero at the moment when the switch is from cutoff to on-off. This
reverse voltage will generate reverse current, which will increase the power
consumption of the switching tube due to the existance of both voltage and
current.
Class-E PA Matching Process
The last section briefly introduces the core idea and working principle of class-E PA. The detailed process is omitted here(readers can search the detailed working principles of Class E on the Internet), while steps of how to match PA are summarized as follows:
- Select a suitable Choke inductor
- Calculate the optimal load impedance Z-Load according to the output power
- Select the appropriate series resonant capacitor C0 (as shown in figure1).
- Calculate L0 according to the selected C0
- Calculate the L-shaped matching component values Lx and Cx according to the optimal load resistance Z-Load;
- Design a T-type low-pass filter
Now let’s go through all the steps in detail.
Select a suitable Choke inductor
This inductor is also called energy inductor, the higher the frequency, the
better the resistance. However, both of the value of inductor Q and self-
resonant frequency are low in application, so the inductor can not be the
highest. According to experience, this inductor value can be selected at
different frequencies as follows:
Frequency | Inductance value |
---|---|
315 MHz | 270 or 330 nH |
433.92 MHz | 180 or 220 nH |
868 MHz | 100 nH |
915 MHz | 100 nH |
Calculate the optimal load impedance Z-Load according to the output power
Below shows the formulas derived from Class-E theory:
According to the formula, the output power of PA is related to three parameters: 1) supply voltage; 2) PA output capacitance Cshunt; 3) Operating frequency. As shown in figure 2, the optimal load impedance Z-Load = R+jX, where R is the optimal load resistance mentioned above. It is closely related to the output power and output capacitance of PA. In the design of the CMT2300, the output capacitance of the PA is approximately 3pF. Below we list the optimal load impedance Z-Load at 20dBm output at different frequencies.
Frequency | Optimum load impedance ( Z-Load ) |
---|---|
315 MHz | 30.9+ j35.6 Ω |
433.92 MHz | 22.4 + j25.9 Ω |
868 MHz | 11.2 + j12.9 Ω |
915 MHz | 10.6 + j12.2 Ω |
Select the appropriate series resonant capacitor C0 and calculate L0
Combined with step 3 and step 4, it is required that C0 and L0 work on the
series resonance. Therefore, there will be countless combinations of values.
How to choose? Large component values are with low self-resonant frequency
while low component values are more sensitive to parasitic parameters. Thus,
do not choose particularly high or low component values. If you want low
harmonics, choose high inductance, low capacitance; If you want low current
and high efficiency, choose low inductance and high capacitance.
Calculate the L-shaped matching component values Lx and Cx according to the
optimal load resistance Z-Load
If the load impedance of the antenna is already known, and the impedance is
higher than Z-Load, it can be matched by an L-shape matching; However,
L-shaped matching is limited by conversion impedance ratio and the value of
components cannot be flexibly selected. Also, harmonic suppression is not
enough. Therefore, it is not recommended to match the optimal load resistance
directly to the antenna. An intermediate transition impedance Rmid can be
introduced (which can be any value larger than the optimal load impedance) to
attach a T-shape filter to match the Rmid to the antenna load. Below takes the
50Ω antenna as an example, as shown
Resistance Impedance Matching Convension between Rant and Rmid
As shown in Figure 3, point A (marked in red) in the figure is defined as
the impedance Rmid of an intermediate transition. Obviously, the impedance of
point A needs to be higher than the optimal load resistance Z-Load.
Considering that the post level T filter can use appropriate values of the
components, it needs to convert the impedance of point A to the following
values according to the calculation. The example is as follows:
Frequency | Optimum Load Impedance | Rmid Resistance Value |
---|---|---|
315 MHz | 30.9+ j35.6 Ω | 70 |
433.92 MHz | 22.4 + j25.9 Ω | 50 |
868 MHz | 11.2 + j12.9 Ω | 50 |
915 MHz | 10.6 + j12.2 Ω | 50 |
Matching the best load impedance in the above table to Rmid resistance can obtain the value of Lx and Cx, as shown in figure 2. It is obviously that L0 and Lx can be combined into one inductance. If we convert the best load resistance Z-Load to the impedance at point A as cited above, the corresponding values can be obtained as follows:
Frequency | C0 | L0 + Lx | Cx |
---|---|---|---|
315 MHz | 12 pF | 47 nH | 12 pF |
433.92 MHz | 15 pF | 27 nH | 9.1 pF |
868 MHz | 9.1 pF | 10 nH | 6.8 pF |
915 MHz | 8.2 pF | 10nH | 6.2 pF |
Impedance at point A can also be converted to other impedance values with the corresponding component values changed. Either Rmid and C0, L0 can be selected on the basic that the calculated component value is closest to a suitable nominal value. Note that the parasitic capacitance of PA end to GND has to be updated according to the application of different circuit boards. This parasitic capacitance can be summed up in Cshunt and it is about 3pF in our application sample board. While in other circuit boards, this value may be changed and the PA optimal load will change according with the same calculation and matching way.
Design a T – shape low – pass filter
T-shape low-pass filter not only plays the role of suppressing higher
harmonics, but also match the impedance conversion of point A to the antenna
impedance. Be careful not to set the Q value of T-shape low-pass filter too
high. The higher the Q value, the better the harmonic suppression. While it
will be sensitive to the change of antenna impedance and leads to efficiency
decline.
Revise History
Version | Chapter | Description | Date |
---|---|---|---|
0.1 | All | Initial | 2023/01/03 |
Contacts
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Address: 30th floor of 8th Building, C Zone, Vanke Cloud City, Xili Sub-
district, Nanshan, Shenzhen, GD, P.R. China
Tel: + 86-755-82973805 / 4001-189-180
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Post Code: 518052
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Website: www.hoperf.com
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References
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