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The Bandgap Reference

A CirCuit for All SeASonSBehzad Razavi IEEE SOLID-STATE CIRCUITS MAGAZINE Summer 2016 9 SSince its inception in the late 1960s, the Bandgap circuit has served as an essential component in most inte-grated circuits. This simple, robust idea provides a temperature-indepen-dent (TI) voltage and a proportional-to-absolute-temperature (PTAT) current. In this article, we study the principles of Bandgap circuit Brief HistorySemiconductor technology does not directly offer any electric quantity that is nominally independent of the ambi-ent temperature.

outt-+ BE3 //RV 45 ou RI = 1, we have V , RR R RI V 54 5 outB= + 41 + E3 (12) concluding that the output can be arbitrarily small and have a zero TC. We now derive the PTAT current, I 1, from the circuit of Figure 6(a) and arrive at the topology shown in -Fig ure 7(c) [12]. With a voltage drop of Vn T ln across R 3, we have V t ln , RR R V R R ...

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