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Q2. Determine the RMS value of noise voltage
Equivalent noise bandwidth of a single pole filter is given by \frac{\pi}{2}\omega_{3dB}, where
\omega_{3dB} is the
3\text{dB} bandwidth of the single pole filter in rad/s. Suppose a spectrum analyzer measures a noise voltage spectral density of
1\mu\text{V}/\sqrt{\text{Hz}} before a single pole filter with
3\text{dB} bandwidth of
5\text{MHz}. What is the RMS value of this noisy signal over an infinite bandwidth?