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Q2. Determine the RMS value of noise voltage Equivalent noise bandwidth of a s...

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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}\frac{\pi}{2}\omega_{3dB}, where \omega_{3dB}\omega_{3dB} is the 3\text{dB}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}}1\mu\text{V}/\sqrt{\text{Hz}} before a single pole filter with 3\text{dB}3\text{dB} bandwidth of 5\text{MHz}5\text{MHz}. What is the RMS value of this noisy signal over an infinite bandwidth?

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