Abstract
The problem in designing an automatic gain controller (AGC) for a low-frequency oscillator is to assure that the dc voltage is related to the amplitude of oscillation. For a switched-capacitor (SC) oscillator composed of three SC phase-shifters, the capacitances yielding a dc voltage proportional to the square of the oscillation amplitude are discussed. By the stated-variable method, the SC oscillator was analyzed to determine the conditions under which the outputs of three phase-shifters are equal in amplitude and different in phase by 120 degrees. When the condition is satisfied, the dc voltage is obtained by summing the three squared outputs. An SC oscillator was designed based on the circuit analysis, and its performance agreed well with the analytical results.
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