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Introduction to Switched-Capacitor Circuits

12 Introduction to Switched-CapacitorCircuitsOur study of amplifiers in previous chapters has dealt with only cases where the input signal iscontinuously available and applied to the circuit and the output signal is continuously continuous-time Circuits , such amplifiers find wide application in audio, video, and high-speed analog systems. In many situations, however, we may sense the input only at periodic instantsof time, ignoring its value at other times. The circuit then processes each sample, producing avalid output at the end of each period. Such Circuits are called discrete-time or sampled-data this chapter, we study a common class of discrete-time systems called Switched-Capacitor (SC) Circuits . Our objective is to provide the foundation for more advanced topics such as filters,comparators, ADCs, and DACs. Most of our study deals with Switched-Capacitor amplifiers butthe concepts can be applied to other discrete-time Circuits as well. Beginning with a general viewof SC Circuits , we describe sampling switches and their speed and precision issues.

S1 and 2 turn off and 3 turns on, pulling node A to ground. Since V A changes from in 0 to 0, the output voltage must change from zero to 0 C 1 =C 2. The output voltage change can also be calculated by examining the transfer of charge. Note that the charge stored on C1 just before t0 is equal to V in 0 1.After = 0, the negative feedback through

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