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FHSS (Frequency Hopping Spread Spectrum)

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FHSS rapidly switches the carrier frequency among many channels using a pseudorandom sequence. Processing gain: Gp = 10log10(Nchannels). 1000 channels = 30 dB against narrowband jamming. Slow hopping: Bluetooth (1600 hops/s). Fast hopping: military (10,000+ hops/s). Provides anti-jam, LPI/LPD, and interference avoidance in shared spectrum.
Category: Spread Spectrum
Bluetooth: 1600 hops/s
Gp: 10log(N) dB

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

Processing gain:
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

SystemChannelsHop RateBandGpType
Bluetooth Classic791,600/s2.4 GHz ISM19 dBSlow
SINCGARS2,320100+/s30-88 MHz34 dBSlow/fast
Link 165177,000/s960-1215 MHz17 dBFast
JTRS/SRW1000+10,000+/s2 MHz-2 GHz30+ dBFast
ISM (FCC 15.247)75+Varies2.4 GHz19+ dBSlow

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

StandardHops/sChannelsBWApplication
Bluetooth Classic1600791 MHzAudio/IoT
BLE≤1600402 MHzLow-energy IoT
802.11 FHSS2.5751 MHzLegacy WiFi
Military1000+1000+VariableECM resistant
LoRaN/A (CSS)8–64125–500 kHzLPWAN
Common Questions

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.

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