PA Design

Load Pull

/lohd pull/
Load pull varies the impedance presented to a transistor and maps power, efficiency, and linearity contours on the Smith chart. Finds Zopt for each target: Pmax, PAEmax, ACPRmin (usually different impedances). Passive tuners (Maury, Focus): handle 100W+. Active: synthesizes any impedance including |Γ|>1. Harmonic load pull: critical for Class F/J waveform engineering.
Output: Smith chart contours
Passive: |Γ|<0.9
Active: Full Smith chart

Understanding Load Pull

Load pull is how PA designers bridge the gap between transistor data sheets and real-world matching networks. Data sheets provide S-parameters at a single operating point, but PA performance depends critically on the impedance at the fundamental, second harmonic, and third harmonic frequencies. Load pull measurements reveal the complete picture: where maximum power occurs, where maximum efficiency occurs (usually at a different impedance), and where the best linearity occurs (at yet another impedance).

Load Pull Concepts

Load-pull contours:
Constant Pout = f(ΓL) on Smith chart
Constant PAE = g(ΓL)

Optimal load:
Zopt = Ropt + jXopt
Ropt ≈ (VDD−Vknee)²/(2Pout)

Contour spacing:
∼1 dB circles, 5% PAE circles

Load Pull System Comparison

System|Γ| RangePowerSpeedHarmonicApplication
Passive mechanical0-0.9100W+Slow (min/pt)Separate tunersHigh-power GaN
Active open-loop0-1.0+LimitedFastEach harmonicFull Smith chart
Active closed-loop0-1.0+ModerateModerateReal-timeModulated signals
Hybrid passive+active0-1.0+HighModerateFundamental+harmonicDoherty PA design
Simulated (X-params)FullAnyFastestAll harmonicsInitial exploration

Key Equations

Decibel conversion:
Power: dB = 10log(P2/P1)
Voltage: dB = 20log(V2/V1)

dBm to watts:
P(W) = 10(dBm−30)/10
0 dBm = 1 mW, +30 dBm = 1 W

Wavelength:
λ = c/f = 300/f(MHz) meters

Comparison

MetricTypicalHigh-PowerUnitNotes
Pout @opt+20 to +30+40 to +50dBmAt Zopt
PAE @opt40–55%55–75%%GaN advantage
Gain @opt10–158–12dBCompressed
VSWR contour1.5–3:12–5:1ratio−1dB contour
Source pullNFmin circlesdBNoise opt
Common Questions

Frequently Asked Questions

What does it produce?

Smith chart contours for power, PAE, ACPR, EVM. Each parameter has different optimum impedance. PA designer chooses compromise Z meeting all specs. Essential for Doherty design where impedance modulates with power.

System types?

Passive tuner: handles 100W+, limited |Gamma|<0.9. Active: synthesizes any Z including negative resistance. Hybrid: passive fundamental + active harmonic. Modern: real-time with 5G NR modulated waveforms.

Harmonic importance?

Harmonic terminations shape waveforms and set PA class. Class F: 2f0 short, 3f0 open = 90.7% efficiency. Without harmonic load pull, cannot determine these impedances experimentally. Requires multi-port tuner systems.

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