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Two tones of equal amplitude give indices of 0.4 and 0.3. The effective index is

  • A.0.7
  • B.0.35
  • C.0.12
  • D.0.5

Answer: D

Indices from independent tones combine in quadrature:

\[ \mu_{eff} = \sqrt{0.4^{2}+0.3^{2}} = 0.5 \]

so 0.5, and the power relation then uses that figure. 0.7 adds the indices arithmetically, which would overstate the power and could suggest over-modulation where none exists. 0.35 is their mean. 0.12 is their product. The quadrature rule is what allows a multi-tone or speech signal to be handled with the same simple power formula.

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