4) RF Fundamentals β€” Waves, Power and Decibels

πŸ“‘ Link Budget β€” The Chain of Gain and Loss
TRANSMIT Tx Power (W) β†’ Tx Antenna Gain (dBi) β†’ EIRP = P_tx + G_tx βˆ’ L_feed (dBW) PROPAGATION FSPL (dB) = 20 log₁₀(4Ο€ d / Ξ») β†’ Atmospheric loss β†’ Rain fade β†’ Scintillation RECEIVE Rx Antenna Gain (dBi) β†’ G/T (dB/K) β†’ Received Power (dBW) β†’ C/Nβ‚€ (dBHz) QUALITY METRICS C/Nβ‚€ β†’ Eb/Nβ‚€ = C/Nβ‚€ βˆ’ 10 log₁₀(Rb) β†’ compare to required Eb/Nβ‚€ for chosen modcod MARGIN Link Margin = Available Eb/Nβ‚€ βˆ’ Required Eb/Nβ‚€ Β· typically β‰₯ 3 dB for clear sky, β‰₯ 6 dB with rain KEY NUMBERS TO KNOW FSPL GEO C-band β‰ˆ 196 dB Β· Ku β‰ˆ 206 dB Β· Ka β‰ˆ 213 dB Every element of the chain is a dB addend β€” a link budget is a bookkeeping exercise in decibels
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πŸ“– Theory – 4) RF Fundamentals β€” Waves, Power and Decibels

I. The Radio Wave
β€’ Electromagnetic wave: Ξ» = c / f.
β€’ Polarisation β€” linear (H/V) or circular (RHCP/LHCP).
β€’ Propagation at speed of light.

II. Frequency Bands
β€’ L, S, C, X, Ku, Ka.
β€’ Higher frequency = more bandwidth, worse propagation.
β€’ Lower frequency = larger antennas, better penetration.

III. Power in Decibels
β€’ dB = 10 log₁₀(P₁/Pβ‚‚).
β€’ dBW β€” power relative to 1 W.
β€’ dBm β€” power relative to 1 mW.
β€’ dBi β€” antenna gain relative to isotropic.

IV. Gain and Loss
β€’ Amplifiers add gain (dB).
β€’ Cables, filters, feeders add loss (dB).
β€’ Total is a sum of dB contributions.

V. Noise
β€’ Thermal noise: N = kTB.
β€’ Noise figure β€” degradation of SNR.
β€’ Noise temperature β€” equivalent input noise.
β€’ G/T β€” figure of merit for a receiving station.

VI. Antennas
β€’ Parabolic reflector β€” gain ∝ (Ο€D/Ξ»)Β².
β€’ Beamwidth ∝ Ξ»/D.
β€’ Efficiency 55–70% typical.
β€’ Phased arrays β€” electronic steering for LEO.

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πŸ“ Advanced Essay (AI-Marked)

Question:
Critically analyse the RF fundamentals underpinning satellite communication. Discuss propagation, the decibel system, the concepts of gain and loss, and the noise characteristics that constrain link performance.
πŸ“‹ Rubric: Knowledge (30%) Β· Analysis (30%) Β· Literature (20%) Β· Structure (10%) Β· Originality (10%). 1500–2500 words.

πŸ“ Practice MCQs (15)

Q1: How does DB differ from alternatives?

Q2: Why is Parabolic antenna important?

Q3: What are the limitations of Noise temperature?

Q4: How does Polarisation differ from alternatives?

Q5: Explain Noise figure in satellite communication.

Q6: Explain Gain in satellite communication.

Q7: What are the limitations of Loss?

Q8: How does DBW differ from alternatives?

Q9: What is DBm?

Q10: What are the limitations of Wavelength?

Q11: How does Parabolic antenna differ from alternatives?

Q12: What is DBi?

Q13: What are the limitations of Polarisation?

Q14: What are the limitations of DBW?

Q15: Why is Gain important?

Module score: 0/0