The optimum sizing of the front-end FET in transimpedance amplifiers (TIA) is revisited. Analytical solutions based on a second-order shunt-feedback TIA model that includes the feedback-resistor noise are derived. It is shown that the optimum FET size can be smaller or larger than suggested by the well-known capacitive matching rule, depending on whether the noise optimization is carried out under a constant gain-bandwidth-product constraint or a constant load-capacitance constraint.
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Eduard Säckinger (2012) studied this question.
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