Electromagnetic Spectrum

Radio Frequency

/ray-dee-oh free-kwen-see/ — RF
EM waves from 3 kHz to 300 GHz. λ = c/f (1 GHz = 30 cm, 28 GHz = 10.7 mm). Bands: VHF (30-300 MHz, FM/TV), UHF (300 MHz-3 GHz, cellular/WiFi/GPS), SHF (3-30 GHz, satellite/radar/5G), EHF (30-300 GHz, mmWave). Governed by Maxwell's equations. Noise floor: −174 + 10log(BW) dBm/Hz. FSPL = 32.4 + 20log(f) + 20log(d). 5B+ cellular subscribers, 18B+ WiFi devices worldwide.
Range: 3 kHz-300 GHz
c: 3×108 m/s
λ = c/f

Understanding RF

Radio frequency is the foundation of wireless communication. From the first spark-gap transmitters of the late 1800s to today's 5G millimeter-wave phased arrays, RF engineering has enabled humanity to communicate without wires across rooms, cities, continents, and even interplanetary distances. Every wireless device, from a Bluetooth earphone to a deep-space probe, operates on the same electromagnetic principles described by Maxwell's equations.

RF engineering sits at the intersection of physics, electrical engineering, and materials science. It requires understanding of electromagnetic wave propagation, circuit design at high frequencies where wavelength effects dominate, antenna theory, signal processing, and the interaction of EM waves with materials and the environment. The discipline becomes increasingly challenging as frequencies rise into the millimeter-wave and sub-THz ranges.

Fundamental RF Equations

Wavelength-frequency:
λ = c/f = 3×108/f (m)
1 GHz: 30 cm, 5 GHz: 6 cm
28 GHz: 10.7 mm, 77 GHz: 3.9 mm

Free-space path loss:
FSPL = 32.4 + 20log(fMHz) + 20log(dkm)
2.4 GHz, 100 m: 80 dB
28 GHz, 100 m: 101 dB

Thermal noise floor:
N = kTB = −174 + 10log(BW) dBm
BW = 100 MHz: N = −94 dBm

Friis transmission:
Pr/Pt = GtGr(λ/4πd)²

RF Spectrum Band Allocation

BandFrequencyWavelengthApplicationExample
VHF30-300 MHz1-10 mBroadcast, aviationFM radio, ATC
UHF300 MHz-3 GHz10-100 cmCellular, WiFi, GPSLTE, 802.11
SHF3-30 GHz1-10 cmSatellite, 5G, radar5G NR, VSAT
EHF30-300 GHz1-10 mm5G mmWave, radarn258, auto radar
Sub-THz100-1000 GHz0.3-3 mm6G research, imagingD-band backhaul
Common Questions

Frequently Asked Questions

What frequency range?

3 kHz to 300 GHz (ITU). VLF (3-30 kHz): submarine. LF (30-300 kHz): navigation. MF (0.3-3 MHz): AM radio. HF (3-30 MHz): shortwave. VHF (30-300 MHz): FM/TV. UHF (0.3-3 GHz): cellular/WiFi/GPS. SHF (3-30 GHz): satellite/radar/5G. EHF (30-300 GHz): mmWave. "Microwave" = 300 MHz-300 GHz. "mmWave" = 30-300 GHz.

Fundamental equations?

λ=c/f (1 GHz=30 cm). FSPL=32.4+20logf+20logd. Friis: Pr/Pt=GtGr(λ/4πd)². Noise: N=kTB=−174+10log(BW). Link budget: P_RX = P_TX+G_TX−L_TX−FSPL+G_RX−L_RX. These equations form the foundation of all RF system design.

Why important?

Enables all wireless: 5B cellular subscribers, 18B WiFi devices, GPS, satellite, automotive radar, MRI, industrial heating. $200B+ wireless infrastructure market annually. RF engineers design antennas, amplifiers, filters, mixers, oscillators, and complete transceiver systems. Growing importance as spectrum becomes congested and 6G/sub-THz emerge.

RF Engineering

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