Direct Modulation and Subcarriers

  • Direct BPSK: the data spectrum is centered on the RF carrier
  • BPSK on a subcarrier (here 70 kHz): the data first modulates a subcarrier, so the data sidebands move to ±70 kHz around the RF carrier
  • Calculated average spectra: uncoded 10 kbit/s NRZ, no pulse shaping; PSD relative to unit complex-envelope power per Hz; no receiver noise; display stops at −80 dB/Hz

Residual Carrier With a BPSK Subcarrier

  • Illustrative RF spectrum: 32 kbit/s BPSK on a 1.024 MHz subcarrier
    • Lower sideband at −1.024 MHz, residual carrier at 0, upper sideband at +1.024 MHz
    • Unshaped NRZ data: each sideband has a 64 kHz first-null span (2×32 kHz)
  • The residual carrier is power left in the carrier itself — useful for acquisition and tracking (modulation trade), but it doesn’t carry data

Data Power Is Part of Total Signal Power

  • Illustrative allocation of total received RF power: ranging 20%, residual carrier 30%, data 50%

Data Power Fraction

  • 𝑞=𝑆data𝑆total,[𝑆data/𝑁0]=[𝑆total/𝑁0]+10log10(𝑞)

q = 0.5

  • 10log10(0.5)=−3.0: the data-channel S/N₀ is 3.0 dB lower than the total S/N₀
  • Assumed power fractions sum to 100%; modulation indices and waveform design determine the actual split (the diagram shows allocation, not signal flow)
  • [𝑞] appears explicitly in the Eb/N₀ link equation and feeds energy per bit

Subcarrier Examples and Ranging Tones

  • Direct: 100 kbit/s telemetry modulates the RF carrier without an added subcarrier
  • Subcarrier: 100 kbit/s data on a 1.024 MHz subcarrier — account for both RF sidebands
  • Combined: 20 kbit/s telemetry on a 70 kHz subcarrier, plus ranging tones at 4, 20, 100, and 500 kHz
  • These are illustrative plans: modulation indices set the power split; receiver compatibility sets usable combinations
  • PN ranging uses a known pseudo-random pattern and correlation; it need not use a telemetry subcarrier
  • Reference: JPL DSN 810-005, Module 206 (Telemetry General Information)