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Chapter 7

Q. 7.2

An amplifier produces a one-sided noise spectrum given by S_{noise}( f ) = 5 × 10^{−16}  V^2/Hz. Determine the total output noise in a bandwidth of 1 MHz.

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We have

P_{noise} =\int_{0}^{1 MHz}{S_{noise}(f)d f}                                     (7.14)

= 5 × 10^{−10} V^2                                                     (7.15)

Note that the total integrated noise is measured in V^2 and not in V^2/Hz. This noise power corresponds to an rms voltage of \sqrt{5 × 10^{−10} V^2} = 22.4 μV.