Bandgap References

Bandgap References - Bandgap Reference Current-mirror...

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Unformatted text preview: Bandgap Reference Current-mirror biassing using (a) an ideal current source, (b) a resistor. (a) (b) ( 29 ( 29 1 2 1 1 . 1 L W L W g R V I m DD out + ∆ = ∆ Simple circuit to establish supply-independent currents. (a) Addition of R S to define the currents, (b) alternative implementation eliminating body effect. (a) (b) ( 29 ( 29 S out TH N ox n out TH N ox n out R I V L W K C I V L W C I + + = + 2 1 2 2 μ μ Neglecting body effect, we have ( 29 , 1 1 2 S out N ox n out R I K L W C I = - μ and hence ( 29 . 1 1 1 . 2 2 2 - = K R L W C I S N ox n out μ Negative-TC Voltage , exp 4 kT E bT I g m S- = + . ln T I I V I I T V T V S S T S C T BE ∂ ∂- ∂ ∂ = ∂ ∂ ( 29 . exp exp 4 2 4 3 - +- + = ∂ ∂ + + kT E kT E bT kT E T m b T I g g m g m S , ; 2 m i S T kTn I μ α μ μ α ) exp( 3 2 kT E T n g i- α Therefore, ( 29 . 4 2 T g T S S T V kT E T V m T I I V + + = ∂ ∂ ( 29 T g T S C T BE V kT E T V m I I T V T V 2 4 ln- +- = ∂ ∂ ( 29 T q E V m V g T BE- +- = 4 Generation of PTAT voltage. 2...
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This note was uploaded on 11/07/2009 for the course ELEC ece212 taught by Professor None during the Spring '09 term at York University.

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Bandgap References - Bandgap Reference Current-mirror...

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