IM products have the same attribute as harmonics with respect to drive power, and the power in the IM product (sometimes called the tone power, or PWRm for the mth‐order IM power) increases in direct proportion to the input power and the order of the IM product. Thus, if the tone power is plotted along with the output power against an x‐axis of input power, the plot will look like Figure 1.8, where the extension of the slope of the output power and IM tone‐powers at low drives will intersect. This point of intersection for the third‐order IM product is known as the third‐order intercept point, or IP3. Similarly, IP5 is the fifth‐order intercept point, etc.
Figure 1.8 Output power and IM tone‐power versus input power.
It is also interesting to note that in general at high powers, the IM tone‐powers may not increase but may decrease or have local minima. This is because of the effect of high‐order IM products re‐mixing and creating significant signals that lie on the lower‐order products and can increase or decrease their level, depending upon the phasing of the signals.
There is often some confusion about third‐order IM products (IM3) and third‐order intercept point (IP3), and both are sometimes referred to as third‐order intermod. For clarity, in this book, the intercept point will always be referred to as IP.
Finally, for amplifiers used as a low‐noise amplifier (LNA) at the input of a receiver chain, it is often desired to refer the IP level to the input power, which would produce an intercept point at the output. This is distinguished as the input intercept point (IIP), and in the case of ambiguity, the normal intercept point referencing to the output power should be most properly referred to as the output‐referred intercept point (OIP). The most common intercept points are the third‐order ones, OIP3 and IIP3. The input and output intercept points differ by the gain of the amplifier at drive level where the measurements are made.
The details of two‐tone IM measurements are discussed at length in Chapter 8.
1.6.4 Adjacent Channel Power and Adjacent Channel Level Ratio
One figure of distortion common with modulated signals is the adjacent channel power (ACP) and adjacent channel level ratio (ACLR). Sometimes a third term, adjacent channel power ratio (ACPR), is used instead of ACLR. All are measures of out‐of‐channel spectral regrowth caused principally by the third‐order intermodulation distortion occurring because of a modulated signal. During testing, a modulated signal waveform is applied to the DUT. Figure 1.9 shows the output spectrum of a signal modulated with 16 quadrature amplitude modulation (16 QAM) over a 40 MHz BW, applied to an amplifier.
Figure 1.9 Spectral regrowth causing ACP in a 16 QAM signal.
It is a repetitive periodic waveform from an arbitrary waveform generator, which must be comprised of a multiple sinewave signals, typically thousands of tones, each of which can intermodulate with each other one. In a typical modulated signal, each tone can have a nearly random amplitude and phase, so it is quite complicated to measure each distortion product directly. In general, this figure of merit measures the intermodulation products, which appear in the adjacent channel to the channel under test, as a total integrated power using band power measurements.
In the figure, the lower and upper ACP region is identified, and the signal here is caused by the third‐order distortion in the amplifiers. Also identified is the outline of the distortion profile of the amplifier. ACP is used as a figure of merit as it is easy to discern the distortion level in the adjacent channel where there is no signal. However, the distortion occurs in‐channel as well as out‐of‐channel and is usually a bit higher in the center of the channel. The sloped response of the distortion profile is typical and can be understood by considering the density of signals that can create the intermodulation distortion. Note the outer edges of the adjacent channel where the distortion signal is lowest; only the outermost tones of the main signal can intermodulate to create a signal at these outer reaches of the adjacent channel. At the edge of the adjacent channel nearest the main signal, any two signals that are separated by one‐half the main‐signal bandwidth can intermodulate to create a signal here. The density of these signals is quite high, roughly half the power of the main signal. In the center of the main signal, where the distortion is not apparent because it is masked by the main‐signal power, it is outlined by the distortion profile curve in the figure; any two closely spaced signals can cause distortion power here. The density of such signals is over the whole bandwidth, so the distortion level here is roughly twice that at the close‐in edge of the ACP signal. Even though this distortion is masked by the main signal, it is still present and causes errors in the transmitted signal.
The total integrated power is the ACP. The ratio of the ACP to the total power in the main channel is the ACLR, shown by the Markers 1 and 2 in the figure (they are set to be a delta‐marker with respect to the reference Marker R, which shows the main tone absolute power). Often, test system noise can mask the ACP or ACLR to some extent and becomes the limitation of the measurement. Details of the ACP and ACLR measurements are found in Chapter 8.
1.6.5 Noise Power Ratio (NPR)
Widely found in the satellite communications industry, noise power ratio (NPR) is a measure of distortion, and not of noise at all. In the early days of satellite development, the industry needed a measure of distortion for satellite components but could not use the more common IMD or ACP. Most satellite systems have strongly channelized amplifiers, where the communication signals fill an entire channel and are filtered at the output so adjacent channel distortion would be filtered away, and could not be used as a figure of merit for the in‐channel distortion. Furthermore, the communications protocols for satellites could change over the life of the satellite, and often many different communication methods could be used in the same channel. NPR was developed to emulate a densely loaded communications channel but still provide a means to determine distortion.
In the early days, NPR signals were generated by using a noise diode followed by a filtered amplifier. This would produce a noise signal at high power, of the specified channel. This was followed by a narrow band‐stop filter, which blocked the noise signal in the middle of the channel. When this signal was applied to the system component, distortion of the amplifier could be seen in the notch of the NPR signal. Figure 1.10 shows an example NPR signal, after passing through an amplifier. This is not one created by a noise diode, but rather using an arbitrary waveform generator, which is programmed to produce an additive‐white‐gaussian‐noise (AWGN) signal with a notch at its center. In fact, the use of noise diodes to produce NPR signals has been essentially replaced throughout the industry with arbitrary waveform‐generated signals. In this example, the AWGN signal is created in a low‐frequency baseband generator and then upconverted inside the signal source to the desired center frequency. Some unflatness is apparent in the passband of the signal due to frequency response of the signal source.