Diplexer calculator
A mixer only behaves well when it sees a resistive termination at all frequencies, not merely in the passband. An ordinary filter does not give it one: outside the passband it reflects everything back, and the mixing products return to the mixer to breed new ones. A diplexer splits the flow in two and terminates both halves — one into the wanted load, the other into a resistor.
| System impedance (Ω) | |
| Crossover frequency (MHz) | |
| Order | |
📐 The formulas
First order (two components per branch):
low-pass branch: L = R/ω₀, C = 1/(R·ω₀)
high-pass branch: the mirror image
Both branches are terminated in R, and the input impedance equals R at every frequency.
Third order — from a Butterworth prototype split across the two branches:
low-pass: L1 = g₁·R/ω₀, C2 = g₂/(R·ω₀), L3 = g₃·R/ω₀
high-pass: C1 = 1/(g₁·R·ω₀), L2 = R/(g₂·ω₀), C3 = 1/(g₃·R·ω₀)
A check point:
R = 50 Ω, f₀ = 9 MHz → L = 884 nH, C = 354 pF.
- The unwanted branch must be terminated in a real resistor. Leave it open and the whole point of a diplexer is lost
- That resistor dissipates real power: at the output of a transmit mixer this has to be allowed for
- Coil Q is not accounted for: in a real circuit the input impedance is rather less constant
- The model is ideal — in practice |Z| = R holds over roughly a decade either side of f₀
🎯 In practice
- After a diode mixer — the classic and most important use.
- Between a mixer and a crystal filter: outside its passband the filter reflects everything, and the diplexer makes up for that.
- Separating two bands in one signal path.
- Checking a diplexer is easy: look at |Z| at the input on an analyser over a wide sweep. A flat line means it is right.
- Use a non-inductive resistor: an ordinary wirewound one will ruin it.
- Set the crossover at the working IF, so the wanted signal goes into the right branch.
- A diplexer noticeably improves a mixer's IP3 — you can see it in a two-tone measurement.
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UR3PKI. «Diplexer calculator». CyberDev.Space. https://cyberdev.space/en/radio/calculators/others/diplexer (licence CC BY-NC-SA 4.0).The licence lets you use this material freely, including in teaching materials, but only with attribution to the author and a link to the source.