Datasheet
LM13700
SNOSBW2E –NOVEMBER 1999–REVISED MARCH 2013
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Voltage Controlled Filters
OTA's are extremely useful for implementing voltage controlled filters, with the LM13700 having the advantage
that the required buffers are included on the I.C. The VC Lo-Pass Filter of Figure 32 performs as a unity-gain
buffer amplifier at frequencies below cut-off, with the cut-off frequency being the point at which X
C
/g
m
equals the
closed-loop gain of (R/R
A
). At frequencies above cut-off the circuit provides a single RC roll-off (6 dB per octave)
of the input signal amplitude with a −3 dB point defined by the given equation, where g
m
is again 19.2 × I
ABC
at
room temperature. Figure 33 shows a VC High-Pass Filter which operates in much the same manner, providing a
single RC roll-off below the defined cut-off frequency.
Additional amplifiers may be used to implement higher order filters as demonstrated by the two-pole Butterworth
Lo-Pass Filter of Figure 34 and the state variable filter of Figure 35. Due to the excellent g
m
tracking of the two
amplifiers, these filters perform well over several decades of frequency.
Figure 31. Floating Voltage Controlled Resistor
Figure 32. Voltage Controlled Low-Pass Filter
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