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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.

The term “bandgap reference” can be appreciated by calculating 22VT REF/ from (5), setting it to zero, finding Vn T ln from the result, and substitut-ing in (5) V . q E g 4 mV REF =+ + T (6) This expression suggests that the value of V REF extrapolated to T = 0K is equal to the bandgap voltage, Eq g/ . The problem of n = 29. 51# 07 can be ...

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