Figure shows the block diagram of a beterodyne spectrum analyzer. It consists of a variable-frequency oscillator, multiplier, band-pass filter, and root mean square (RMS) meter. The oscillator has amplitude A and square over the range ?₀ to ?₀ + W, where ?₀ is the mid-band frequency of the filter and W is the signal bandwidth. Assume that ?₀ = 2W, the filter bandwidth ?? is small compared with ?0 and that the pass-band magnitude response of the filter is one. Determine the value of the RMS meter output for a low-pass input signal g (t).

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Input signal gle) RMS meter Band-pass Output signal filter Variable frequency oscillator