HA2556 Datasheet, PDF (18/20 Pages) Intersil Corporation – Wideband Four Quadrant Analog Multiplier (Voltage Output)

HA2556
DESIGN INFORMATION (Continued)
The information contained in this section has been developed through characterization by Intersil Semiconductor and is for use as
application and design information only. No guarantee is implied.
Values for α to give a desired M root or power are as follows:
ROOTS - FIGURE 19
POWERS - FIGURE 20
M
α
M
α
0.5
0
1.0
1
0.6
≈ 0.25
1.2
≈ 0.75
0.7
≈ 0.50
1.4
≈ 0.5
0.8
≈ 0.70
1.6
≈ 0.3
0.9
≈ 0.85
1.8
≈ 0.15
1.0
1
2.0
0
Sine Function Generators
Similar functions can be formulated to approximate a SINE
function converter as shown in Figure 22. With a linearly
changing (0 to 5V) input the output will follow 0^o to 90^o of a
sine function (0 to 5V) output. This configuration is theoreti-
cally capable of ±2.1% maximum error to full scale.
By adding a second HA-2556 to the circuit an improved fit
may be achieved with a theoretical maximum error of 0.5%
as shown in Figure 23. Figure 23 has the added benefit that
it will work for positive and negative input signals. This
makes a convenient triangle (±5V input) to sine wave (±5V
output) converter.
HA-2556
V_IN
V_OUT
1
REF
NC 2
16 NC
15 NC
NC 3
NC 4
+
5
Y
6_-
-V 7
8
14 NC
+
13
X
- ¹²
11 +V
+
+
Σ
-
Z
10
-⁹
R2
R6
470 470
R1
R5
262 ₁₄₁₀
23.1K
71.5K
X⁺
X^-
V_OUT
V_OUT
10K
HA-2556
5.71K
V_IN
X⁺
X^-
V_OUT
Y⁺
Z⁺
Y^-
Z^-
10K
HA-2556
Y⁺
Z⁺
Y^-
Z^-
VOUT
=
3^---.^-1^--5-8^--V1---6I^-N-7^{----–+-----00--.-}.0^-0^--51--4-7^--97--4-9^--V1---9^-I3-N-V^---_I2^-_N^---
≈

5 sin _
-₂^π
⋅
V_---5-I-N--


-5V ≤ V_IN ≤ 5V max theoretical error = 0.5%FS
FIGURE 23. BIPOLAR SINE-FUNCTION GENERATOR
Further Reading
1. Pacifico Cofrancesco, “RF Mixers and ModulatorsMade
with a Monolithic Four-Quadrant Multiplier” Microwave
Journal, December 1991 pg. 58 - 70.
2. Richard Goller, “IC Generates Nonintegral Roots” Elec-
tronic Design, December 3, 1992.
R3
R4
644
1K
VOUT
=
VI _N -₍---₀⁽--_.-¹⁶---₀-–-₈--₂-⁰--^.-–¹---²-₀-⁸-_.-⁴-₀--^V5--_V-^I-^N-_I--_N⁾---₎-
≈

5 sin _
2^-π
⋅
V_---5I--N-


for; 0V ≤ VIN ≤ 5V
max theoretical error = 2.1%FS
where:
0.6082 = ------^R----⁴------
5 ( 0.1284) = ------^R----²------
R3 + R4 ^;
R1 + R2
5 ( 0.05) = ------^R----⁶------
R5 + R6
FIGURE 22. SINE-FUNCTION GENERATOR
Spec Number 511063-883
8-24