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Compact MOSFET Models for VLSI Design by A. B. Bhattacharyya

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Appendix C:

PSP Two-point Collocation Method

In this appendix we shall discuss the two point collocation method (N = 2) given in Wang et al. [1]. The charge sheet model equation for the channel current of a MOS transistor and continuity equation give:

image

where image = image/image, and the coordinate y is normalized to the channel length L. The mobility is assumed to be constant along the channel with the value μeff. The non-quasistatic model considering the velocity saturation effect is discussed in Wang et al. [2]. Let the second term in the above equation be G(image). Thus:

image

image

which can be written as:

image

where:

image

and: ...

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