Comm Notes
Coaxial cable construction, impedance characteristics, signal propagation, attenuation, and applications in communication systems
Coaxial Cables: The Shielded Highway for Signals
Coaxial cable — or simply "coax" — has been a workhorse of communication systems for over a century. From the cable connecting your TV antenna to the massive submarine cables crossing ocean floors, coaxial cables provide a reliable, shielded path for signal transmission. Their unique concentric geometry gives them excellent electromagnetic shielding and consistent impedance characteristics that make them ideal for high-frequency signal transport.
Construction and Geometry
Think of it this way: a coaxial cable is like a pipe within a pipe, with insulation between them. This concentric geometry creates a self-shielding transmission line where the outer conductor acts as both a return path and an electromagnetic barrier.
From inside out:
- Center conductor: Solid or stranded copper wire (carries the signal)
- Dielectric insulator: Polyethylene, PTFE (Teflon), foam, or air (maintains spacing)
- Outer conductor (shield): Braided copper, aluminum foil, or solid copper tube (carries return current and provides shielding)
- Outer jacket: PVC or polyethylene (mechanical and environmental protection)
The geometry is defined by two key dimensions: inner conductor diameter (d) and outer conductor inner diameter (D). These determine the cable's electrical characteristics.
Characteristic Impedance
The characteristic impedance depends on the conductor dimensions and dielectric material:
Z₀ = (138/√εᵣ) × log₁₀(D/d) ohms
Where εᵣ is the relative permittivity (dielectric constant) of the insulating material.
Standard impedances:
- 50 Ω: RF/microwave equipment, cellular base stations, laboratory instruments
- 75 Ω: Video and TV distribution, cable television, satellite receivers
- 93 Ω: Early computer networks (now obsolete)
Why two different standards? 50 Ω minimizes attenuation loss for air-dielectric cables. 75 Ω minimizes signal reflections (best for wideband signals like video). The choice was made decades ago and standardized.
Signal Propagation
Signals travel through coax as TEM (Transverse Electromagnetic) waves:
Velocity of propagation: v = c/√εᵣ (typically 66-85% of the speed of light)
- Solid polyethylene (εᵣ = 2.3): v ≈ 66% of c
- Foam polyethylene (εᵣ = 1.5): v ≈ 82% of c
- Air dielectric (εᵣ ≈ 1.0): v ≈ 95% of c
Velocity factor (VF = v/c) is important for determining electrical length in antenna systems and delay calculations.
Attenuation
Signal loss in coaxial cable has two main components:
Conductor loss: Increases as √f (skin effect concentrates current at higher frequencies) Dielectric loss: Increases linearly with frequency
Total attenuation (dB/100m) at various frequencies:
| Cable Type | 100 MHz | 1 GHz | 3 GHz |
|---|---|---|---|
| RG-58 (thin 50Ω) | 5.3 | 18.5 | 35 |
| RG-6 (TV 75Ω) | 2.0 | 6.5 | 12 |
| RG-213 (thick 50Ω) | 2.6 | 8.5 | 16 |
| LMR-400 (low loss) | 1.5 | 5.0 | 9.4 |
| 7/8" hardline | 0.5 | 1.7 | 3.0 |
Higher-quality cables with larger diameter, foam dielectric, and solid outer conductor achieve lower loss — essential for long cable runs and high frequencies.
Bandwidth and Frequency Range
Coaxial cable supports an extremely wide frequency range:
- Lower limit: DC (0 Hz) — coax can carry DC power + signals simultaneously
- Upper limit: Determined by when higher-order modes can propagate (cutoff frequency)
- Cutoff frequency: fc = c/(π(D+d)√εᵣ) — typically several GHz for standard cables
Practical frequency limits:
- RG-58 (5mm): Useful to ~1 GHz
- RG-6 (7mm): Useful to ~3 GHz
- Semi-rigid (3.5mm): Useful to ~18 GHz
- Precision lab cables: 40+ GHz with proper connectors
Shielding Effectiveness
The outer conductor provides electromagnetic shielding — protecting the inner signal from external interference and preventing signal leakage:
- Single braid: 60-80 dB shielding (adequate for most applications)
- Double braid: 80-100 dB (broadcast quality)
- Solid copper tube: >120 dB (CATV trunk lines, laboratory)
- Tri-shield (foil + braid + foil): 90-110 dB
For cable TV systems, shielding effectiveness is critical — inadequate shielding causes signal ingress (external signals leaking in, causing interference) and egress (cable signals leaking out, violating FCC emissions limits).
Applications
- Cable Television (CATV): RG-6/RG-11 distributing 5-1000 MHz to homes
- Cellular base stations: Low-loss cables connecting radio equipment to tower-mounted antennas
- Broadcast: Connecting transmitters to antennas (high-power rigid coax)
- Laboratory: Test equipment connections (precision 50Ω cables with SMA/N connectors)
- Ethernet (historical): 10BASE2 (thin coax) and 10BASE5 (thick coax) — now replaced by twisted pair
- Satellite receivers: RG-6 from dish to indoor receiver (950-2150 MHz IF signal)
- CCTV/surveillance: Video signal distribution
Connectors
| Connector | Impedance | Frequency | Application |
|---|---|---|---|
| F-type | 75Ω | 0-3 GHz | TV, satellite, cable |
| BNC | 50/75Ω | 0-4 GHz | Lab equipment, video |
| N-type | 50Ω | 0-11 GHz | RF systems, cell towers |
| SMA | 50Ω | 0-18 GHz | Microwave, test equipment |
| Type 7-16 (DIN) | 50Ω | 0-7.5 GHz | High-power cell tower feeds |
Key Takeaways
- Coaxial cable's concentric geometry creates a self-shielding transmission line with consistent impedance, supporting DC to multi-GHz frequencies.
- Characteristic impedance Z₀ = 138/√εᵣ × log₁₀(D/d) — standardized at 50Ω (RF) and 75Ω (video/broadcast).
- Attenuation increases with frequency (√f for conductor loss) and decreases with cable diameter — larger cables mean lower loss.
- Shielding effectiveness (60-120+ dB) prevents external interference from corrupting signals and prevents signal leakage.
- The upper frequency limit depends on cable diameter — smaller cables support higher frequencies before higher-order modes propagate.
- Despite competition from fiber optics and twisted pair, coax remains essential for cable TV, cellular tower feeds, broadcast, and laboratory applications.
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