RF Design
Isolation
A cellular base station transmits +46 dBm (40 watts) while its receiver simultaneously listens for signals at −100 dBm (0.01 picowatts). The power ratio between transmitter and desired receive signal is 146 dB: 10 trillion to one. If the duplexer filter separating TX from RX leaks even 0.001% of the transmit power into the receiver, the leakage (−4 dBm) drowns the desired signal by 96 dB. Isolation is the measure of how well a component prevents signals from appearing where they should not: TX leaking into RX, LO leaking onto the antenna, or an off-state switch port leaking to the output. It is measured in positive dB: higher is better.
Isolation Requirements by Component
| Component | Isolation Type | Typical Value | Mechanism | Consequence if Insufficient |
|---|---|---|---|---|
| Duplexer | TX-to-RX | 50 to 55 dB | Filter rejection | RX desensitization, PA noise in RX band |
| SP4T switch (off arm) | Off-state | 25 to 40 dB | FET Cds, stacking | Band leakage, spurious emission |
| Double-balanced mixer | LO-to-RF | 30 to 40 dB | Balun symmetry | LO radiation from antenna |
| Circulator | Reverse (port 2→1) | 20 to 25 dB | Ferrite non-reciprocity | PA sees reflected power |
| Diplexer | Band-to-band | 40 to 60 dB | Filter skirt overlap | Intermodulation, blocking |
| MIMO antenna array | Element-to-element | 15 to 25 dB | Spatial separation, decoupling | Correlation, capacity loss |
Isolation (general):
Isolation (dB) = Psource port − Pisolated port
Switch off-state (capacitive leakage):
Isolation ≈ 1/(2πf·Coff·Z0), in dB: 20·log(1/(2πfCoffZ0))
Coff = 30 fF at 5 GHz in 50 Ω: Isolation = 20·log(1/(2π×5G×30f×50)) = 21.2 dB
Isolation (dB) = Psource port − Pisolated port
Switch off-state (capacitive leakage):
Isolation ≈ 1/(2πf·Coff·Z0), in dB: 20·log(1/(2πfCoffZ0))
Coff = 30 fF at 5 GHz in 50 Ω: Isolation = 20·log(1/(2π×5G×30f×50)) = 21.2 dB
Common Questions
Frequently Asked Questions
Why is TX-RX isolation critical in FDD?
TX at +46 dBm, RX detecting −100 dBm: 146 dB difference. Duplexer gives 50 dB. With filtering: 80 to 100 dB total. Even at 90 dB, TX leakage is −44 dBm, 56 dB above the desired signal. The receiver's dynamic range must handle it.
What determines switch isolation?
Off-state drain-source capacitance (Cds). Leakage worsens with frequency. GaAs pHEMT (30 fF): 25 dB at 2 GHz, 15 dB at 6 GHz. Stacking FETs adds isolation but increases IL. PIN diodes: 50 to 60 dB (lower Coff).
How does mixer isolation affect the receiver?
LO-RF leakage radiates from the antenna (regulatory issue). In direct conversion, reflected LO re-enters the mixer creating DC offset. DBM: 30 to 40 dB. Single-ended: 10 to 15 dB. Direct-conversion needs ≥40 dB.
See Also