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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 $\text{ALWAYS}$ true?

  1. $S(0) \geq S(f)$
  2. $S(f) \geq 0$
  3. $S(-f)=-S(f)$
  4. $\displaystyle{}\int_{-\infty}^{\infty} S(f) d f=0$
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