Calculating TIS from TRP


For many Wireless Devices the Total Isotropic Sensitivity (TIS) can be derived from Total Radiated Power (TRP) together with the transceiver properties.


TRP and TIS measurement

Many modern wireless specifications require the Total Radiated Power (TRP) and Total Isotropic Sensitivity (TIS) of a wireless device to comply to a certain class of devices.

The TRP is measured by measuring the radiated power at many points around the device and sum the values to the total power radiated.

The TIS measurement is similar but a lot more involved because the sensitivity must be measured at many points. Not only does the measurement need to ‘speak’ the protocol but the determination of sensitivity for each measurement point takes a lot more time.

TRP and TIS measurement

Radiation patterns are integrated for TRP and TIS

Many developers turn to test laboratories for these measurements but there are alternatives. With a substantial budget there are different kinds of test chambers (BlueLab, Satimo) available that can perform the TRP and, with optional components, also TIS measurements.

The MegiQ Radiation Measurement System (RMS) is capable of performing TRP measurements at a fraction of the cost but with similar accuracy. When the properties of the RF transceiver (chip) are known or measured, the TIS can be derived from the TRP results with only one additional, non-critical, sensitivity measurement.

Receiver interference

Wireless devices are usually part of a larger system that involves fast microprocessors, displays and switched power supplies. When the antenna is integrated in the device the other components can create significant amounts of in-band interfering noise that is picked up by the antenna. This raises the effective noise floor and impedes the receiver sensitivity. This is often a significant problem for devices that operate below 1.5GHz but the problem can also occur in the Wifi band.

The internal noise causes a degradation of the sensitivity and this is the main reason why the TIS is such an important number. It expresses the actual sensitivity under the working conditions of the device.

This implies a radiated sensitivity measurement and seemingly points us back to the test lab with calibrated and anechoic test setups. There is however a method that uses the receiver RSSI and does not require a calibrated radiated signal path for the sensitivity measurements.

MegiQ RMS Collage

The MegiQ RMS-0740 measures TRP

Relationship between TRP and TIS

Most wireless devices use the same antenna for both transmitting and receiving. Since the received signal goes through the same antenna as the transmitted signal, they both get the same antenna gain in their path.

The signal in a certain direction is amplified by the gain of the antenna in that direction. If the gain is greater than 0dB the signals gets amplified, otherwise it is attenuated by the antenna. Both TRP and TIS depend on the same antenna gain.

Isotropic radiation

‘Isotropic’ means that the device is compared to a theoretical Isotropic radiator, an antenna that radiates the same power in all directions. Its radiation power is a perfect sphere. This is a standard antenna and has a gain (in all directions) of 0dBi. The ‘i’ indicates that the number compares to the Isotropic radiator, but it is often left out.

A real world antenna will always have a directional character and the gain in some directions is greater than in other directions. The TRP (it is also called Total Isotropic Power, TIP) is calculated by integrating the radiated power over a sphere around the antenna and this yields a power value that can be compared to that of the same transmitter connected to an Isotropic radiator.

Likewise, the TIS is calculated by integrating the sensitivity over the sphere and this yields a sensitivity value that can be compared with the same receiver connected to an Isotropic radiator.

Deriving TIS from TRP

When the TRP is known (measured) and the conducted power of the transmitter is known (measured) the gain of the antenna can be calculated by dividing TRP by the transmit power. Since TRP is an ‘isotropic’ value the antenna gain is also an ‘isotropic’ value and is called Total Isotropic Gain (TIG) and is expressed in dBi.

The TIG is also a measure of the efficiency of the antenna: it depicts the amount of energy that is radiated compared to the amount of energy that is supplied to its input. Due to losses in the antenna the TIG is always less then 0dBi.

The TIS can then be calculated by applying the TIG to the sensitivity of the receiver. When the sensitivity of the receiver is known (measured) and the TIG is known (calculated from TRP) the TIS can be calculated by multiplying the sensitivity with the TIG:

  • TIG = TRP / Ptx, or in dB: TIG = TRP - Ptx
  • TIS = TIG * Srx, or in dB: TIS = TIG + Srx

TIG and TIS derived from TRP

TIG and TIS can be derived from TRP

Transceiver properties

For calculating the TIG and TIS the properties of the transceiver must be known. The transmitter power and the receiver sensitivity must be determined at a common point that carries both the transmit signal during transmitter operation and the receive signal during receive. An obvious point would be the common terminal of the antenna switch.

Transmitter power

The transmit power is normally specified in the datasheet but is it better to measure it at the common measurement point. This is easily measured with a spectrum analyzer or power meter with the transmitter at its operation level.

Receiver sensitivity

The receiver sensitivity is more involved to measure for several reasons. First of all one must have some test setup to determine the lowest signal that can be received by the receiver. For simple protocols this can be a test device that is programmed in-house or a chip evaluation board with software. For more elaborate protocols and modulation like Wifi or CDMA a commercial test set can be used.

Most receivers are capable of reporting the signal level at the receiver input in the form of a Received Signal Strength Indication (RSSI). This value can be retrieved directly from the receiver registers, or it can be reported back to the tester through the radio protocol.

The RSSI measurement of the receiver is often well documented in the datasheet and accurate to 0.5dB but the signal is specified at the receiver input pin of the chip or module. If a receive switch or other combiner is used externally then there is an attenuation between the common measurement point and the receiver input.

To be able to translate the RSSI level to the level at the common measurement point it is necessary to do a one- time conducted verification of the RSSI report against the actual input value. While it is difficult to verify the RSSI around the threshold level, because of the high attenuation requirements and leakage problems, it often suffices to determine the RSSI value at a much higher level. With two measurements for example at -40dBm and -50dBm the linearity of the RSSI value can be tested and the difference from the actual test level can be calculated. After this measurement the receiver should be trusted to report accurate RSSI down to the sensitivity threshold level and the calculated correction factor can then be used to convert the RSSI to actual input levels.

When the RSSI behavior is established it becomes quite easy to measure the radiated sensitivity with the device in its natural operation condition. There is no need to know the signal path over the air and through the antenna since the receiver level at the common measurement point is determined through the RSSI value of the receiver. There is no need for an anechoic environment and, if there are no interfering signals from outside, the sensitivity measurement can be done at the lab bench. It is enough to determine the RSSI value of the radiated test signal at the sensitivity threshold. This can be done by moving the device or the test antenna around to find a point where the signal is very low.

TIS measurement procedure

This summarizes the steps to get to a TIS figure:

  1. Measure TRP at a test lab or with an in-house system.

  2. Measure TX power with a spectrum analyzer. This needs to be done only once.

  3. Calculate TIG

  4. Measure RSSI correction with a known level. This also needs to be done only once.

  5. Measure Radiated sensitivity with an arbitrary test configuration.

  6. Calculate TIS

For measuring against certification standards these steps should be done carefully and possible error sources should be taken into consideration. It may be desirable to measure the TRP power at a test lab and perform the remaining steps in-house.

If the TIS must be measured repeatedly during design debugging and optimization, steps 1 through 4 could be done once so that only the sensitivity measurement needs to be repeated between modifications. As long as the antenna and wiring configuration is not changed significantly the TRP should remain quite constant.

In fact, if the goal is to optimize the sensitivity then it is enough to just measure the RSSI at the sensitivity threshold and optimize this. The whole TRP and TIG measurement can be omitted. But again the antenna configuration must not be changed during these tests, otherwise the RSSI numbers can not be compared to each other.

Error sources

The preceding sections assume a theoretical system. In reality there are several other matters that can cause errors in the TIS measurement.

  • Impedances. Different impedances between the antenna, transmitter and receiver may cause different power transfer than measured with 50Ohm equipment. If the transmitter and receiver impedance are close to each other then the signals have the same power transfer.

  • Split frequency. If the transmitter and receiver are using different frequencies for upload and download the antenna characteristics between the channels may differ significantly. This can be resolved if it is possible to measure the TRP or TIG at the receive frequency.

  • Antenna diversity. If the device is using antenna diversity one must make sure to treat the antennas separately by forcing the signal to either of the antennas.

  • Interference from environment. If the receive frequency is used by other nearby devices it will be impossible to measure the radiated sensitivity in the field. A shielded chamber or GTEM cell can be used to keep unwanted signals out.

  • Reflected noise. When a shielded chamber is used without absorbers it is well possible that noise from the device or cables is reflected back into the antenna and this raises the noise floor. The chamber must be large enough or anechoic to avoid this.

  • Varying noise levels. If a processor or other component has varying levels of activity the noise level can also change over time. It is advisable to measure the sensitivity several times or over a longer period of time.


The TIS can be derived from a TRP measurement and simple sensitivity measurements that can be performed in-house. This is very useful especially during development or problem solving because there is almost instant feedback of the sensitivity performance.


Visit the RMS-0740 page for more information how to measure TRP and Radiation Patterns


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Monday, 26 February 2024

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