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Addition. Why adder?Neural networkContinuous time signal processing applicationLow power / small size. Addition / Subtraction Using Op-Amp. R1. R2. Rf. V1. V2. = -Rf ( V1/R1 V2/R2). V1. V2. R1. R2. R1. R2. = R2/R1 ( V1 - V2 ). R1. R2. V1. V2. = R2/R1 ( V3
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1. CMOS Analog Addition/Subtraction Jaehyun Lim
Department of Computer Science and Engineering
The Pennsylvania State University
3. Addition / Subtraction Using Op-Amp
4. Addition / Subtraction Using Op-Amp
5. Other OP-Amp Applications
differentiator / integrator
active filters
I / V converter
positive / negative voltage reference
voltage supply
wave form generator
oscillator
and more…and more…and more…
6. Addition
Design #1
7. Addition
Design #1
8. Addition
Design #2
9. Addition
Design #2
10. Addition
Design #3
11. Subtraction
Design #1 (from adder Design #2)
12. Subtraction
Design #1
13. Reference
[1] M. Al-Nsour, et al., “Analog Computational Circuits for Neural Network Implementation,” Proceedings of ICECS '99. The 6th IEEE International Conference on Volume 1, 5-8 Sept. 1999 pp. 299 - 302 vol.1
[2] S. W. Tsay and R. W. Newcomb, “A Neural-Type Pool Arithmetic Unit,” Circuits and Systems, 1991., IEEE International Sympoisum on 11-14 June 1991 pp. 2518 - 2521 vol.5
[3] A. Diaz-Sanchez, et al., “A Compact High Frequency VLSI Differential Analog Adder,” Circuits and Systems, 1996., IEEE 39th Midwest symposium on Volume 1, 18-21 Aug. 1996 pp. 21 - 24 vol.1
[4] H. Chaoui, “CMOS Analogue Adder,” Electronics Letters Volume 31, Issue 3, 2 Feb. 1995 pp. 180 – 181
[5] C. Chang, et al., “Low-Voltage Analog Tripler Circuit,” Journal of Analog Integrated Circuits and Signal Processing, vol. 26, pp. 125-128, Feb. 2001.
[6] R. Fried and C. Enz, “A Family of Very Low-Power Analog Building Blocks Based on CMOS Translinear Loops,” Analog and Mixed IC Design, 1997. Proceedings., 1997 2nd IEEE-CAS Region 8 Workshop on 12-13 Sept. 1997 pp. 73 – 78
[7] “An Applications Guide for Op Amps,” National Semiconductor Application Note 20, Feb. 1969
[8] G. Clayton and Steve Winder, “Operational Amplifiers,” Newnes, 2003
14. Simulation
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