# Overview

## Design Resources

### Design & Integration Files

- Schematic
- Bill of Materials
- Gerber Files
- PADS Files
- Assembly Drawing

### Evaluation Hardware

Part Numbers with "Z" indicate RoHS Compliance. Boards checked are needed to evaluate this circuit

- ADL6010-EVALZ ($500.00) ADL6010 Evaluation Board
- EVAL-AD7091RSDZ ($59.00) AD7091R Evaluation Board
- EVAL-SDP-CB1Z ($99.00) Eval Control Board

### Device Drivers

Software such as C code and/or FPGA code, used to communicate with component's digital interface.

AD7091R - No-OS Driver for Renesas Microcontroller Platforms

AD7091R - No-OS Driver for Microchip Microcontroller Platforms

## Features & Benefits

- 40GHz Power Meter
- 45dB Dynamic Range
- Low Power

## Markets & Technology

- Instrumentation & Measurement
- Healthcare
- Industrial Automation Technology (IAT)
- Aerospace and Defense

## Parts Used

# Circuit Function & Benefits

A simple calibration routine is run before measurement operation, at the particular RF frequency of interest. The user can then operate the system in measurement mode. When in measurement mode, the CN-0366 Evaluation Software displays the calibrated RF input power that is applied at the input of the detector in units of dBm.

The total power dissipation of this circuit is less than 9 mW on a single 5 V supply.

# Circuit Description

The AD7091R 12-bit, 1 MSPS ADC samples the detector output, and the data is processed through a data capture board and sent to a PC for further processing and analysis. The ADC has an internal 2.5 V reference voltage that can be used to set the full-scale voltage. The internal reference can be overridden if a larger full-scale voltage is needed.

The system must be calibrated because the output voltage is dependent on the frequency of the input waveform. A correction factor is also needed when measuring modulated signals. PC based software with a simple graphical user interface is provided to perform the computations (CN-0366 Evaluation Software).

**Power Detector**

The ADL6010 is 45 dB envelope detector that operates from 500 MHz to 43.5 GHz. It has a linear in volts slope of approximately 5.9 V/V rms and an absolute detector input range from −30 dBm to +15 dBm or −43 dBV to +2 dBV in a 50 Ω system. The detector cell uses a proprietary eight Schottky diode array followed by a novel linearizer circuit that creates a linear voltmeter with an overall scaling factor (or transfer gain) of nominally ×5.9 relative to the rms voltage amplitude of the input. With an output averaging capacitor, the ADL6010 can detect a signal with a varying envelope, but a correction factor must be used to compensate for the change in output voltage for the same given input power. The output voltage is related to the rms input voltage by

where:

V_{OUT} is the voltage on the V_{OUT} pin.

Slope is approximately 5.9 V/V rms at 10 GHz.

V_{RFIN} is the rms input voltage.

Intercept is the y-axis value that the data crosses if extended.

Figure 2 shows a functional block diagram of the ADL6010.

Figure 2. ADL6010 RF/Microwave Detector Functional Diagram

Figure 3 shows the variation in the transfer function with frequency. There is approximately 300 mV of voltage deviation in the output between 1 GHz and 40 GHz. The temperature variation is less than ±0.5 dB over the entire frequency range. Figure 4 and Figure 5 show the temperature variation at 10 GHz and 40 GHz, respectively.

Figure 3. Transfer Function at Frequencies from 500 MHz to 43.5 GHz

Figure 4. Transfer Function and Error at 10 GHZ for Various Temperatures

Figure 5. Transfer Function and Error at 40 GHz for Various Temperatures

**Analog-to-Digital Converter**

The AD7091R is a 12-bit, 1 MSPS ADC with an input voltage range between 0 V and VREF, where the reference voltage is either provided by the internal 2.5 V reference or by an external reference that overrides the internal reference. The external reference can be as high as 5 V. For a 2.5 V full-scale voltage (V_{REF} = 2.5 V), the LSB size is

The output voltage of the ADL6010 is approximately 25 mV to 4 V; therefore, a 200 Ω/340 Ω resistor divider with an attenuation of approximately 1.6 reduces the amplitude of the signal so that it is always within the range of the AD7091R when using the internal 2.5 V reference.

**Data Analysis**

- Point 1: (V
_{LOW}, CODE_{LOW}) - Point 2: (V
_{HIGH}, CODE_{HIGH})

From these two points, a slope and an intercept can be found and used to calibrate the system at the particular frequency of operation.

Figure 6 shows the software power level display.

Figure 6. CN-0366 Evaluation Software Display

**System Transfer Function**

The slope and intercept of the system from the input of the detector to the output of the ADC are

where:

Slope_{SYS} is the system slope.

CODE_{HIGH}, CODE_{LOW} are the high and low code outputs, respectively, from the ADC.

V_{HIGH}, V_{LOW} are the high and low RF voltages, respectively.

INT_{SYS} is the system intercept.

The overall system transfer function is

where V_{IN} is the rms voltage of the input RF signal.

Solve for V_{IN} using

Therefore, the power in dBm, PIN, can be expressed as

For a 50 Ω input impedance, this equation simplifies to

**User Calibration Algorithm**

- Set the RF power to high level (V
_{HIGH}). - Measure the code from ADC (CODE
_{HIGH}). - Set the RF power to low level (V
_{LOW}). - Measure the code from ADC (CODE
_{LOW}). - Calculate the system slope (units of codes/V).
- Calculate the system intercept (units of codes).
- Store the slope and intercept as calibration coefficients.
- Measure the ADC code with an arbitrary input RF power.
- Calculate the input power using the code, slope, and intercept.

**Measurement Results for Complete Signal Chain Including ADC**

Using the CN-0366 Evaluation Software, measurements were taken across several frequencies. Each frequency was calibrated before the measurement took place. The results are shown in Figure 7, Figure 8, and Figure 9. In Figure 7, note the dependency of the error on the calibration power levels. Choosing the proper calibration levels may require some trial and error.

Figure 7 through Figure 9 show the input power measured vs. the actual power applied to the input of the ADL6010 and the error between the two.

Data was taken over temperature at 0°C, 25°C, and 70°C, and the results are shown in Figure 10, Figure 11, Figure 12, and Figure 13 for frequencies of 1 GHz, 10 GHz, 20 GHz, and 30 GHz.

Note that some measurements were taken using an early version of the software that did not have an averaging feature, which is why there is a large ripple at the lower input power levels.

Figure 7. Measured Power and Error vs. Applied Power for Various Three-Point Calibrations at 1 GHz

Figure 8. Measured Power vs. Applied Power at Various Frequencies

Figure 9. Measured Power Error vs. Applied Power at Various Frequencies

Figure 10. Measured Power and Error vs. Applied Power for Various Temperatures at 1 GHz

Figure 11. Measured Power and Error vs. Applied Power for Various Temperatures at 10 GHz

Figure 12: Measured Power and Error vs. Applied Power for Various Temperatures at 20 GHz

Figure 13. Measured Power and Error vs. Applied Power for Various Temperatures at 30 GHz

**Summary of Equations**

The following is a summary of the equations in the CN-0366, as well as additional equations to provide insight into the function of this power meter circuit.

The transfer function of the ADL6010 is given by

where:

V_{OUT} is the dc output voltage of the detector.

Slope_{DET} is the gain/slope of the detector, in V/V rms.

V_{IN} is the rms voltage of the input RF signal.

INT_{DET} is the intercept of the detector, in volts.

Solve for V_{IN} using

The ADC transfer function (when being driven by the ADL6010) is given by

CODE = V_{OUT}/LSB

LSB = V_{REF}/4096

where:

CODE is the ADC output code, a unitless number that can range from 0 and 4096.

V_{REF} is the full-scale reference voltage of the ADC, in volts. LSB is the smallest quantized voltage that the ADC can resolve, in V/step or V/bit.

Solve for V_{OUT} using

V_{OUT} = CODE × LSB

Substituting this expression in the previous V_{IN} equation yields

Referring everything back to input power yields

where R is the impedance on the RFIN pin of the ADL6010. Substituting V_{IN} into the power equation yields

Simplifying the equation yields

This equation is in terms of the ADL6010 detector output slope and intercept, which is useful for conceptual purposes to show the interactions of the system. However, for practical purposes, the transfer function of the system is required in terms of the overall system slope and intercept, where the slope has units of codes/V and the intercept has units of codes. The final transfer function can be derived as follows.

The derivation of the system transfer function in terms of system slope (slope_{SYS}) and system intercept (INT_{SYS}) begins with Equation 2, which has the input power in terms of detector slope (slope_{DET}) and detector intercept (INT_{DET}). This derivation is achieved by multiplying both the numerator and denominator of the V_{IN} expression (Equation 2) by 1/LSB, as follows:

Substituting this expression for V_{IN} into Equation 2 yields Equation 1.

INT_{DET} has units of volts, Slope_{DET} has units of V/V rms, and LSB has units of V/codes. Multiplying by 1/LSB converts INT_{DET} into its equivalent ADC code and converts the detector slope into the system slope with unit of codes/V rms, yielding the following relations:

INT_{SYS} = INT_{DET}/LSB

Slope_{sys} = Slope_{DET}/LSB

A complete set of design files, including schematics, layouts, Gerbers, and bill of materials for the CN-0366 circuit are available in the CN-0366 Design Support Package.

# Common Variations

Figure 14. Generic Application of Power Meter Using a Coupler

When calibrating this setup, the previously described calibration routine does not change. The loss of the coupler and transmission lines are calibrated out and accounted for in the slope and intercept equations. Use the voltage level applied to the input of the coupler when computing the system slope and intercept. The system slope and intercept using the input voltage to the detector and the ADC output code are as follows:

where: V

_{HIGH}, V

_{LOW}are the high and low voltages, respectively, applied to the input detector (generalized as V

_{IN}in Figure 14). CODE

_{HIGH}, CODE

_{LOW}are the high and low outputs of the ADC.

If a known voltage is applied to the input of the coupler (generalized as V

_{COUPLER}in Figure 14), the general relationship between the input of the coupler and the input of the detector is

V

_{IN}= V

_{COUPLER}× Voltage Loss

where Voltage Loss is a constant attenuation factor in fractional form.

For example, a 20 dB voltage loss from the input of the coupler to the input of the detector is a voltage loss factor of 1/10.

If the voltage levels at the input of the coupler are used instead of the input of the detector, a new expression for the system slope that includes the coupler and transmission line loss is

where the V_{HIGH}’ and V_{LOW}’ are the high and low calibration voltages, respectively, at the input of the coupler.

The same equation in terms of the input voltages of the detector and the loss of the coupler and transmission lines is

Figure 15 shows the transfer function at 1 GHz and 5 GHz for a system using a coupler with 10 dB loss.

Figure 15. Measured Power and Error vs. Applied Power at 1 GHz and 5 GHz for System Using 10 dB Coupler

# Circuit Evaluation & Test

**Equipment Needed**

The following equipment is needed to perform the evaluations described in the CN-0366:

- The ADL6010-EVALZ evaluation board.
- The evaluation board.
- The EVAL-SDP-CB1Z SDP board.
- The Agilent E8257D signal generator.
- The Agilent 34410A digital multimeter.
- A PC running Windows
^{®}7 connected to the SDP board via a USB cable (supplied with the EVAL-SDP-CB1Z). - A 5 V power supply to supply ADL6010-EVALZ board.
- A 9 V ac-to-dc, wall-mounted converter to supply the EVAL-AD7091RSDZ evaluation board (supplied with the EVAL-AD7091RSDZ). Note that the EVAL-SDP-CB1Z is powered from a regulator on the EVAL-AD7091RSDZ.
- The CN-0366 Evaluation Software.

**Getting Started**

Make the following modifications and link settings to the ADL6010-EVALZ evaluation board and the EVAL-AD7091RSDZ evaluation board to implement the circuit shown in Figure 1.

For the ADL6010-EVALZ, replace R1 with a 200 Ω resistor (0402 size).

For the EVAL-AD7091RSDZ, replace R1 with a 0 Ω resistor (0603 size), and replace C13 with a 340 Ω resistor (0603 size). For the EVAL-AD7091RSDZ link settings, set LK1 to Position C, set LK2 to Position C, and leave LK3 and LK4 open.

Figure 16. Functional Block Diagram for Testing RF and Microwave Power Meter

**Functional Block Diagram**

Figure 16 shows the functional block diagram of the test setup that was used for testing the receive chain.

**Setup and Test**

- Turn on all test equipment and wait for the test equipment to warm up.
- Connect the ADL6010-EVALZ evaluation board input to the Agilent signal generator (connecting directly from the signal generator to the evaluation board via a barrel connector is recommended).
- Connect the ADL6010-EVALZ evaluation board output to the input of the EVAL-AD7091RSDZ evaluation board.
- Connect the EVAL-SDP-CB1Z SDP board to the EVAL- AD7091RSDZ evaluation board.
- Connect the SDP board to a PC via the USB cable that is provided with the SDP board
- Download and install the CN-0366 Evaluation Software onto the PC that is connected to the SDP control board.
- After the software is installed properly, run the executable.
- Turn on the signal generator and set it to a power and frequency within the operating limits of the ADL6010.
- To obtain an accurate power reading, run the calibration routine in the software.
- The software GUI now calculates and displays the correct power that is applied to the input of the ADL6010.