Distortion Metric

NPR

/en-pee-ahr/ — Noise Power Ratio
Measures wideband intermodulation: apply band-limited noise with narrow notch, measure distortion filling the notch. NPR = Pnoise/Pnotch (dB). Higher = better linearity. Captures all IMD orders simultaneously (more realistic than two-tone). Satellite TWTA: 15-20 dB near saturation, 20-25 dB with back-off. SSPA: 25-35 dB. C/IM ≈ NPR − 10log(N−1). ITU-R SM.1446.
TWTA: 15-25 dB
SSPA: 25-35 dB
Method: Notched noise

Understanding NPR

NPR is the most realistic measure of wideband amplifier linearity because it simulates actual multi-carrier or multi-user loading. Unlike two-tone IMD testing (which captures only third and fifth-order products), NPR captures all orders of intermodulation distortion simultaneously, providing a single metric that directly predicts system performance under real operating conditions.

The measurement concept is elegant: fill the amplifier bandwidth with noise (representing many signals), carve out a narrow notch, and measure how much distortion power leaks into the notch. The more linear the amplifier, the deeper the notch remains at the output. This directly relates to the carrier-to-interference ratio that users will experience in a multi-carrier satellite or cellular system.

NPR Equations

NPR definition:
NPR = Pnoise(out)/Pnotch(out) (dB)
Notch depth at input: ≥35 dB

Relation to C/IM:
C/IM ≈ NPR − 10log(N−1)
N = number of equal carriers
NPR=20 dB, N=10: C/IM=10.5 dB

NPR from OIP3:
NPR ≈ 2(OIP3−Pout)−10log(N)+K
3rd-order dominated regime

Optimal input drive:
Peak NPR occurs at optimum
back-off from saturation

NPR by Device Type

DeviceNPR (peak)Back-offBandwidthApplication
TWTA15-20 dB0-3 dB36-72 MHzSatellite bent-pipe
Linearized TWTA20-25 dB1-3 dB36-72 MHzHTS satellite
GaN SSPA25-35 dB3-6 dB100-500 MHzSatellite, BTS
CATV amplifier40-50 dB15-20 dB50-1000 MHzCable distribution
DAC50-70 dBN/A1-4 GHzWideband TX
Common Questions

Frequently Asked Questions

How measured?

Band-limited white noise with narrow notch (1-5% of BW, ≥35 dB depth). Apply to DUT. Measure output: NPR = noise PSD / notch PSD. Plot vs. input drive: low power = noise-limited, peak = optimum, high power = distortion-limited. Peak NPR and its drive level are key specs.

Relation to other metrics?

C/IM ≈ NPR − 10log(N−1), N = carriers. Captures all IMD orders (not just IM3/IM5). More realistic than two-tone. For 3rd-order: NPR ≈ 2(OIP3−Pout)−10logN+K. Higher NPR correlates with lower EVM in digital systems.

Where used?

Satellite transponders: TWTA/SSPA multi-carrier loading. TWTA: 15-20 dB near sat, 20-25 dB backed off. SSPA: 25-35 dB. CATV: CSO/CTB related to NPR. DAC: SFDR measurement. Multi-carrier base stations: realistic TX linearity under multi-carrier loading.

RF Testing

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