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In this paper a general formulation procedure and an exact analysis in the frequency domain for switched capacitor circuits with arbitrary inputs including cisoidal, sample-and-hold, and noise, are presented. No topological and duty cycle constraints have been imposed on the circuits. Transfer functions are derived explicitly in terms of circuit matrices. Various special cases of practical interest are discussed in detail. Due to the simple form of the solutions much insight has been gained in understanding the working of switched capacitor circuits. The results are numerically attractive and can be readily programmed for computer-aided design of large size circuits. A simple two-capacitor circuit has been used throughout the text for illustration under various conditions.