Noninverting Op Amp with Inverting Negative Reference

Problem:
How does a designer implement a noninverting op amp with inverting negative reference?

Solution:
The transfer equation takes the form of Y = mX + b and is given in the following.

The transfer function slope is positive, and the dc intercept is positive. This is the minimum component count configuration for this transfer function. The reference termination resistor is connected to a virtual ground, so R_G is the load across V_REF. R_F and R_G are contained in both halves of the equation. Thus it is hard to obtain the desired slope and dc intercept without modifying V_REF or placing an attenuator in series with V_IN.


Refer to the following links:
Single-Supply Circuit Circuit Collection Introduction Describing The Split-Supply Topology
Single-Supply Circuit Collection Boundary Conditions
Single-Supply Circuit Collection Amplifiers