A bandgap
voltage reference circuit (1) produces a bandgap
voltage reference (Vref) on an output terminal (3) relative to a common ground
voltage terminal (4). The circuit (1) develops a PTAT voltage across a primary
resistor (r3) which is reflected and gained up across an output
resistor (r4) and summed with a CTAT voltage to produce the
voltage reference (Vref). A first circuit comprising a PTAT voltage
cell (15) having first and second
transistor stacks of first and second transistors (Q1,Q2) and (Q3,Q4) operated at different current densities develops a PTAT (2ΔVbe) across a first
resistor (r1). The PTAT voltage developed across the first resistor (r1) is applied to an inverting input of a first op-amp (A1), the output of which is coupled to a first end (9) of the primary resistor (r3). A first voltage level relative to the ground terminal (4) is applied to the first end (9) of the primary resistor (r3) through a
feedback loop of the first op-amp (A1) having a second resistor (r2) and a third
transistor (Q5), similar to the first transistors (Q1,Q2). A second end (11) of the primary resistor (r3) is held at a second voltage level of one first base-emitter voltage relative to the ground terminal (4) by a second op-amp (A2) so that a PTAT voltage is developed across the primary resistor (r3) by the difference of the first voltage level and the second voltage level. The PTAT voltage developed across the primary resistor (r3) is reflected and gained up across the output resistor (r4) in a
negative feedback loop (20) of the second op-amp (A2) and is summed with the first base-emitter voltage derived from the first
transistor (Q2) to produce the bandgap
voltage reference (Vref) on the output terminal 3, which is given by the equation:Vref=Vbe(1)+2ΔVbe(1+r2r1)r4r3FIG. 5 to accompany the abstract.