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If s(f) is the power spectral density of a real, wide sense stationary random process, then which of the following is always true?
  • a)
    s(0) ≥ s(f)
  • b)
    s(f) ≥ 0
  • c)
    s(-f) = -s(f)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If s(f) is the power spectral density of a real, wide sense stationary...
For a random process X(t), the Fourier transform of the autocorrelation function RX(τ ), denoted by SX(f), is called the power spectral density of process X(t).
Thus 
Some Properties of Power spectral Density:
→ SX(f) is a real-valued even function, and SX(f) ≥ 0 for all f.
→The integral over the frequency range - π  to π  is proportional to the variance of a zero-mean random process and 2π  is the proportionality coefficient. 
→ 
RX(0) represents the average power in a WSS process.
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Community Answer
If s(f) is the power spectral density of a real, wide sense stationary...
For a random process X(t), the Fourier transform of the autocorrelation function RX(τ ), denoted by SX(f), is called the power spectral density of process X(t).
Thus 
Some Properties of Power spectral Density:
→ SX(f) is a real-valued even function, and SX(f) ≥ 0 for all f.
→The integral over the frequency range - π  to π  is proportional to the variance of a zero-mean random process and 2π  is the proportionality coefficient. 
→ 
RX(0) represents the average power in a WSS process.
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If s(f) is the power spectral density of a real, wide sense stationary random process, then which of the following is always true?a)s(0) ≥ s(f)b)s(f) ≥ 0c)s(-f) = -s(f)d)Correct answer is option 'B'. Can you explain this answer?
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