Swept IMD and IM Spectrum Concepts


Other IMD topics

Swept IMD (Intermodulation Distortion) Concepts

When a device or system is subjected to multiple input frequencies, the non-linearity of the DUT can generate undesired outputs at other frequencies. Typically, two input tones of equal power separated in frequency by a specified amount are used to stimulate the device while observing the resulting frequency spectra at the output. A variety of measurements can then be utilized to determine the intermodulation distortion characteristics of the device.

The frequencies of the resulting distortion products are predictable. While many mixing products can be generated, the high and low signals of the "odd order" products (3rd, 5th, and so forth) are close enough to the original two signals to potentially interfere with adjacent communication channels. With the exception of the 2nd order product, the higher "even order" products are usually far enough away to be of no interest.

The following image and table shows two equal-power main-tones and the nearby odd-order distortion products, as well as the 2nd order product (not shown in the image). Notice that the frequency separation between adjacent odd-order products is the same as the separation of the main tones (Delta F) frequency. For most devices, these distortion products become worse as the device is pushed further into compression.

Two main tones (f1 and f2) with odd order intermodulation products.

The following table shows the calculations and example frequencies (Blue text) of the intermodulation products that are closest to the two main tones.

Product

Low (L)

High (H)

Main
tones

f1

100 MHz

f2

120 MHz

3

2f1-f2

80 MHz

2f2-f1

140 MHz

5

3f1-2f2

60 MHz

3f2-2f1

160 MHz

7

4f1-3f2

40 MHz

4f2-3f1

180 MHz

9

5f1-4f2

20 MHz

5f2-4f1

200 MHz

2

f2-f1

20 MHz

f1+f2

220 MHz

Learn about Swept IMDx for Converters Concepts

Swept IMD Parameters

The following basic parameters, offered for both Amps and Converters, are expanded to over 150 by selecting specific product tones (2,3,5,7,9), the Low-side, High-side, or Average of these tones, measured at the Input or Output of the DUT.

Learn how to select these IMD parameters.

Tone Power Parameters

Tone Power parameters measure the absolute power level of the main tones, odd-order product tones up to the 9th order, and the 2nd order product tones. These tone powers can be measured at the input and output of the DUT. Because the tones come in pairs, the Low tone, High tone, and the Average of the two can be measured and displayed.

The Average Tone Power is calculated as follows:

Avg = (High tone (dBm) + Low tone (dBm) ) / 2

When measuring the 2nd order products, only the Low tone and High tones are allowed. When the main tones are separated by less than 10 MHz, the Low tone (f2-f1) is below the frequency range of the VNA.

Tone Gain

Tone Gain (in dB) calculates the main tone Output Tone power / Input Tone power. Because the tones come in pairs, Tone Gain can be calculated for the Low tone, High tone, and the Average of the two as indicated in the Average Tone Power calculation.

For IMDx for Converters, the Input and the Output tones are typically at different frequencies.

Intermodulation Distortion Parameters

IMD parameters measure the difference in power level between the specified product tone and the main tones. These IMD parameters are calculated from the Tone Power measurements. IMD parameters can measure the odd-order product tones up to the 9th order, and the 2nd product tones, at the DUT Input or Output. For each specified product, the difference between the Low product and main tone, difference between the High product and main tone, and difference between the Averages of the product and main tone can be measured and displayed.

Swept IMD supports IMD parameters which are calculated as follows:

IMxLo =

IMxHi =

IMx =

IMxLoIn =

IMxHiIn =

IMxIn =

PwrxLo-PwrMainLo

PwrxHi-PwrMainHi

Pwrx-PwrMain

PwrxLoIn-PwrMainLoIn

PwrxHiIn-PwrMainHiIn

PwrxIn-PwrMainIn

where:

Learn how to select IMD parameters.

Intercept Point Parameters

As the main tone output power increases (black arrow), output power in the specified product tone increases at a predictable, and steeper, rate (green arrow). At some point, the power in the product tone will be equal to the power in the main tone. The power level at which this occurs is known as the intercept point. Measuring this point directly is typically not possible. Therefore, it is calculated by measuring the main tone power and the specified product tone power.

The Swept IMD App can display either the DUT Input power or DUT Output power that is required to achieve the theoretical intercept point. This is called either Input Referred (IIP) or Output Referred (OIP).

This measurement can be made for the 2nd, 3rd, 5th, 7th, and 9th order intercept points. In addition, the measurements can be made for either the Low tone, the High tone, or the Average of the two. However, for the 2nd order intercept point, only Low and High tone parameters are supported; not Average.

Swept IMD supports Intercept Point parameters which are calculated as follows:

OIPxHi =

OIPxHiIn =

OIPxLo =

OIPxLoIn =

OIPx =

OIPxIn =

IIPxHi =

IIPxHiIn =

IIPxLo =

IIPxLoIn =

IIPx =

IIPxIn =

PwrMain - IMxHi/(x-1)

PwrMain - IMxHiIn/(x-1)

PwrMain - IMxLo/(x-1)

PwrMain - IMxLoIn/(x-1)

PwrMain - IMx/(x-1)

PwrMain - IMxIn/(x-1)

PwrMainIn - IMxHi/(x-1)

PwrMainIn - IMxHiIn/(x-1)

PwrMainIn - IMxLo/(x-1)

PwrMainIn - IMxLoIn/(x-1)

PwrMainIn - IMx/(x-1)

PwrMainIn - IMxIn/(x-1)

where:

Learn how to select IMD parameters.

Composite Triple Beat (CTB)

From the NCTA Standard, composite triple beat is defined as the modulation beat of the target channel signal caused by triple beat resulting from the nonlinear characteristic of the DUT. Composite triple beat is expressed as the ratio of the target channel signal level to the maximum mean level of beat components dispersed around the carrier of that target channel.

Swept IMD supports two parameters of this type:

The equations for these two parameters are as follows:

Mid-Band CTB(dB)=-2(Pi-Ps)+6+10Log(3N2/8)+CTB Offset

Band Edge CTBE(dB)=-2(Pi-Ps)+6+10Log(N2/4)+CTB Offset

Where:

Note: CTB OFFset and N values can ONLY be set using SCPI or COM commands.

Learn how to select IMD parameters.

Composite Second-Order (CSO)

From the NCTA Standard, composite second order is defined as the modulation beat of the target channel signal caused by second order beat resulting from the nonlinear characteristic of the DUT. Composite second order beat is expressed as the ratio of the target channel signal level to the maximum mean level of beat components dispersed around 0.75 MHz and 1.25 MHz above and below the carrier of that channel.

Swept IMD supports a CSO parameter which is calculated as follows:

CSO(dB)=(Pi-Ps)+10Log(N)+CSO Offset

Where:

Note: CSO OFFset and N values can ONLY be set using SCPI or COM commands.

Learn how to select IMD parameters.

Cross-Modulation Distortion

From the NCTA Standard, cross modulation is defined as the distortion that causes modulated carrier components of undesired channels to amplitude-modulate the target channel carrier due to the nonlinear characteristic of the unit under test. Cross modulation distortion is expressed as the ratio of the target channel carrier level to the level of modulated components of the carrier of the target channel resulting from modulated signals of undesired channels.

Swept IMD supports an XMOD parameter which is calculated as follows:

XMOD=-2(Pi-Ps)+6dB+20Log(N)

Where:

Make Cross Modulation settings using SCPI or COM commands.

How the IMD Application Works

The following diagram illustrates how the VNA is configured to generate the two main tones.

This shows a PNA-X with dual sources and the internal combiner. A 2-port or 4-port N522xA model can also be used. Learn how to Configure External Source and Combiner.

2-port PNA-X generates the f1 and f2 main tones.

Depending on the specified parameters and sweep type, the sources and receivers are tuned to the appropriate frequencies in order to measure all of the required main and product tone powers. For example, an IM3 parameter requires the measurement of both main tones, and the 3rd order High and Low tone powers.

The Narrowband IF path is used for IMD measurements to help reduce spurious responses. Because the narrowband filter has a bandwidth of about 28 kHz, using an IFBW greater than 30 kHz does nothing to improve measurement accuracy. Learn how to set IFBW for IMD.

Limiting Stimulus Settings and Out of Range Product Tones

Because the main tones are generated by the VNA internal sources and external sources, the frequencies of the main tones must always be within the frequency range of the VNA or external source. Sweep parameter values are adjusted when necessary to ensure that f1 and f2 frequencies are within these limits.

However, the VNA DOES allow you to make settings that cause the selected IM products to fall outside the frequency range of the VNA. For example, with the main tones at 10 MHz and 15 MHz, the VNA will allow you to select the parameter IM3Lo (3rd low side product tone). However, the frequency of this product will be at 2f1-f2 or 5 MHz, which is below the frequency range of the VNA. In these cases, the trace data is set to zero, which converts to -200 dB in Log Mag format.

Limited Number of Acquisitions

The total number of acquisitions per sweep can not exceed 10,003 points. The number of acquisitions is determined by multiplying the number of trace points, by the number of tones frequencies, then by 2 (for both Input and Output frequencies). The VNA will automatically reduce the number of trace points to ensure the total number of acquisition points does not exceed 10,003.

How an IM Spectrum Channel Works

Before reading this topic, you should become familiar with IMD Concepts.

The IM Spectrum channel provides a traditional spectrum analyzer view of the intermodulation distortion behavior of a device. Unlike the Swept IMD channel, the main tones (F1 and F2) are fixed while the receiver is swept over a frequency range of interest in order to generate a display as shown below.

IM Spectrum trace (bottom) with Swept IMD traces (top)

A typical spectrum analyzer does NOT have a signal source. This one does. The signal source, or stimulus, settings for the F1 and F2 main tones can be set in either the IM Spectrum channel or the Swept IMD channel. These settings include the frequencies and power levels of the main tones.

Receiver Settings

The settings for the IM Spectrum receiver can be set ONLY in the IM Spectrum channel. These settings include how many tone products to view - which determines the center and frequency span - and the Resolution Bandwidth.

You can choose from several Resolution Bandwidths which also determines the number of data points used in the channel. The higher the Res BW, the fewer the number of data points.  The formula for determining the number of points is:

N = (Span/ResBW) * 3

The IM Spectrum channel performs multiple measurements for each data point in order to reject unwanted images which are generated by the VNA internally. This provides a high degree of confidence that signals captured in a trace are real and are not spurious responses generated in the measurement process.

IM Spectrum Parameters

You can select from three different IM Spectrum parameters.

  1. The tones OUT of the DUT (default parameter).

  2. The tones IN to the DUT (to be sure that the input signals are pure). NOT supported in IMx Spectrum

  3. Reflected tones off the DUT input. NOT supported in IMx Spectrum

Learn how to select IM Spectrum parameters for Amplifiers or Converters.

Learn all about IM Spectrum for Amplifiers or Converters.

See list of all IMD topics.