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HA9P2556-9 Datasheet(PDF) 7 Page - Intersil Corporation |
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HA9P2556-9 Datasheet(HTML) 7 Page - Intersil Corporation |
7 / 18 page 7 FN2477.6 April 29, 2008 Which simplifies to Equation 10: The last basic configuration is the Square Root as shown in Figure 5. Here feedback is provided to both X and Y inputs. The Balance equation takes the form of Equation 11: Which equates to Equation 12: The four basic configurations (Multiply, Divide, Square and Square Root) as well as variations of these basic circuits have many uses. Frequency Doubler For example, if ACos( ωτ) is substituted for signal A in the Square function, then it becomes a Frequency Doubler and the equation takes the form of Equation 13: And using some trigonometric identities gives the result in Equation 14: Square Root The Square Root function can serve as a precision/wide bandwidth compander for audio or video applications. A compander improves the Signal-to-Noise Ratio for your system by amplifying low level signals while attenuating or compressing large signals (refer to Figure 17; X0.5 curve). This provides for better low level signal immunity to noise during transmission. On the receiving end, the original signal may be reconstructed with the standard Square function. Communications The Multiplier configuration has applications in AM Signal Generation, Synchronous AM Detection and Phase Detection to mention a few. These circuit configurations are shown in Figures 6, 7 and 8. The HA-2556 is particularly useful in applications that require high speed signals on all inputs. HA-2556 1/5V X Y VOUT Z VX+ VX- VY+ VY - VZ+ VZ- ∑ W A A + - + - + - + - FIGURE 4. SQUARE W A2 5 ------- = (EQ. 10) HA-2556 1/5V X Y VOUT Z VX+ VX- VY+ VY- VZ+ VZ- W A ∑ + - + - A + - + - FIGURE 5. SQUARE ROOT (FOR A > 0) W () W – () × 5A – () = (EQ. 11) W5A = (EQ. 12) ACos ωτ () () ACos ωτ () () × 5W () = (EQ. 13) W A2 10 ------- 1Cos 2 ωτ () + () = (EQ. 14) HA-2556 1/5V X Y VOUT Z VX+ VX- VY+ VY- VZ+ VZ- ∑ W ACos( ωΑτ) CCos( ωCτ) CARRIER AUDIO W AC 10 -------- Cos ω C ω A – ()τ Cos ω C ω A + ()τ + () = + - + - A + - + - FIGURE 6. AM SIGNAL GENERATION HA-2556 1/5V X Y VOUT Z VX+ VX- VY+ VY- VZ+ VZ- ∑ W AM SIGNAL CARRIER LIKE THE FREQUENCY DOUBLER YOU GET AUDIO CENTERED AT DC + - + - A + - + - FIGURE 7. SYNCHRONOUS AM DETECTION AND 2FC. HA-2556 1/5V X Y VOUT Z VX+ VX- VY+ VY- VZ+ VZ- ∑ W ACos( ωτ) ACos( ωτ+φ) W A2 10 ------- Cos φ () Cos 2ωτ φ + () + () = DC COMPONENT IS PROPORTIONAL TO COS(f) + - + - A + - + - FIGURE 8. PHASE DETECTION HA-2556 |
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