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HA9P2556-9Z Datasheet(PDF) 10 Page - Intersil Corporation |
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HA9P2556-9Z Datasheet(HTML) 10 Page - Intersil Corporation |
10 / 18 page 10 FN2477.7 April 25, 2013 . . A multiplier can’t do nonintegral roots “exactly”, but it can yield a close approximation. We can approximate nonintegral roots with Equations 19 and 20 of the form: Figure 18 compares the function VOUT = VIN 0.7 to the approximation VOUT = 0.5VIN 0.5 + 0.5V IN. This function can be easily built using an HA-2556 and a potentiometer for easy adjustment as shown in Figures 19 and 20. If a fixed nonintegral power is desired, the circuit shown in Figure 21 eliminates the need for the output buffer amp. These circuits approximate the function VIN M where M is the desired nonintegral power or root. NC NC VX + (VGAIN) V- VIN V+ NC NC HFA0002 5k Ω VOUT 500 Ω NC NC HA-2556 + - 14 15 16 9 13 12 11 10 1 2 3 4 5 7 6 8 Σ + - REF Y X Z FIGURE 16. VOLTAGE CONTROLLED AMPLIFIER 0 0.2 0.4 0.6 0.8 1.0 0 0.2 0.4 0.6 0.8 1.0 INPUT (V) FIGURE 17. EFFECT OF NONINTEGRAL POWERS/ROOTS X0.7 X0.5 X1.5 X2 V O 1 α – ()V IN 2 αV IN + = (EQ. 19) V O 1 α – ()V IN 1/2 αV IN + = (EQ. 20) FIGURE 19. NONINTEGRAL ROOTS - ADJUSTABLE 0 0.2 0.4 0.6 0.8 1.0 0 0.2 0.4 0.6 0.8 1.0 INPUT (V) FIGURE 18. COMPARE APPROXIMATION TO NONINTEGRAL ROOT X0.7 0.5X0.5+ 0.5X X NC NC V- VIN V+ NC NC HA-2556 HA-5127 NC NC VOUT 0V ≤ VIN ≤ 1V 0.5 ≤ M ≤ 1.0 α 1- α + - 14 15 16 9 13 12 11 10 1 2 3 4 5 7 6 8 Σ + - REF Y X Z + - + - + - HA-2556 |
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