FHSS (Frequency Hopping Spread Spectrum)
Understanding FHSS
FHSS was originally developed for military anti-jam communications (famously co-invented by actress Hedy Lamarr and George Antheil in 1942 for torpedo guidance). By rapidly changing frequencies, the signal becomes difficult to jam, intercept, or detect. Today, FHSS is used commercially in Bluetooth, ISM-band radios, and industrial IoT. In military applications, fast-hopping systems with encrypted hopping patterns provide robust, covert communications even in contested electromagnetic environments.
FHSS Parameters
Gp = 10log(W/R) = 10log(Nhop)
W = spread BW, R = data rate
Hop rate:
Rhop = 1/Tdwell
Jamming margin:
Mj = Gp − Lsys − SNRreq
FHSS System Comparison
| System | Channels | Hop Rate | Band | Gp | Type |
|---|---|---|---|---|---|
| Bluetooth Classic | 79 | 1,600/s | 2.4 GHz ISM | 19 dB | Slow |
| SINCGARS | 2,320 | 100+/s | 30-88 MHz | 34 dB | Slow/fast |
| Link 16 | 51 | 77,000/s | 960-1215 MHz | 17 dB | Fast |
| JTRS/SRW | 1000+ | 10,000+/s | 2 MHz-2 GHz | 30+ dB | Fast |
| ISM (FCC 15.247) | 75+ | Varies | 2.4 GHz | 19+ dB | Slow |
Key Equations
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
| Standard | Hops/s | Channels | BW | Application |
|---|---|---|---|---|
| Bluetooth Classic | 1600 | 79 | 1 MHz | Audio/IoT |
| BLE | ≤1600 | 40 | 2 MHz | Low-energy IoT |
| 802.11 FHSS | 2.5 | 75 | 1 MHz | Legacy WiFi |
| Military | 1000+ | 1000+ | Variable | ECM resistant |
| LoRa | N/A (CSS) | 8–64 | 125–500 kHz | LPWAN |
Frequently Asked Questions
Anti-jam?
Narrowband jammer blocks 1/N hops. 1000 channels: jammer affects 0.1% of hops. FEC recovers lost data. Wideband jammer must spread power across all channels: needs G_p dB more power. 1W narrowband = 1000W wideband equivalent.
Slow vs. fast?
Slow: multiple symbols per hop. Bluetooth (1600 hops/s). Fast: multiple hops per symbol. Military (10,000+ hops/s). Fast provides within-symbol diversity and better anti-jam. Requires sub-us synthesizer switching.
Applications?
Bluetooth: 79 channels, 2.4 GHz, AFH avoids Wi-Fi. Military: SINCGARS, Link 16, JTRS with encrypted patterns. FCC Part 15.247: FHSS gets higher power allowance in ISM. LoRa: frequency hopping via CSS chirps.