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DIFFERENT ANALOG SIGNAL PROCESSING MATHEMATICAL FUNCTIONS WITH CMOS VLSI CIRCUITS
H. Chibl`∗ and A. Ghandour∗ e
References
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[8] M. Valle, D.D. Caviglia, & G.M. Bisio, An experimental analogVLSI neural network with on-chip back-propagation learning,Appendix A: A Summary of All Equations Discussed in This PaperExplanation of Each Equation1. It is a static quadratic function between output current and input voltage that varies in the range “V0 < Vw < Vdd”.2. It is a static quadratic function between output current and input voltage that varies in the range “0 < Vw < V0.3. It is the combination of (1) and (2). It gives a static quadratic function (positive values only) between outputcurrent and input voltage that varies in the range “0 < Vw < Vdd”.4. It is the diﬀerence between (1) and (2). It gives a static quadratic function (positive and negative values) betweenoutput current and input voltage that varies in the range “0 < Vw < Vdd”.5. It is a static square-root function with respect to Ib, which varies between 0 and Ibmax.6. It is a static linear function with respect to Ib, which varies between 0 and Ibmax.7. It is a combination of (5) and (6). It gives a static general equation in SI and WI.8. It is a linear function “SI” or square-root function “WI”. It is a static function.9. It presents a static diﬀerence linear function.10. It presents a two-quadrant multiplier that multiplies Vin by Vw, where Vin can be positive or negative and Vw is onlypositive. It can be viewed in two modes as in (11) and (12).11. It shows a wide-range linear function “SI” and wide-range quadratic function “WI”. It is a dynamic function.The parameter a1 depends on Vin, which controls the linear or quadratic function.12. It shows a linear function in SI or WI. The wideness of the linear function in SI is larger than in WI. It is a dynamicfunction. The parameter b1 depends on Vw, which controls the linear function slope.13. It can be considered four-quadrant multiplier, which multiplies Vin by Vw, where Vin and Vw can be positiveor negative.Analog Integrated Circuits and Signals Processing, 9, 1996,231–245.
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DOI:
10.2316/Journal.205.2009.3.205-4719
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(205) International Journal of Modelling and Simulation - 2009
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