Multiple choice

A zero-mean white Gaussian noise signal is passed through an ideal lowpass filter of bandwidth 10 kHz. The output is then uniformly sampled with sampling period 0.03 m. The samples so obtained would be

  1. correlated

  2. statistically independent

  3. uncorrelated

  4. orthogonal

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A Correct answer
Explanation

The sampling frequency is

$$ f_n = \dfrac{1}{0.03m} = 33 KHz $$

Since $f_n \ge 2 f_m$ the signal can be recovered and are correlated.