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BASIC ANALOG MODULES<br />

187<br />

EXPONENTIAL CONTROL<br />

VOLTAGE INPUT<br />

~<br />

LINEAR<br />

CONTROL<br />

VOLTAGE<br />

FOR<br />

CONSTANT<br />

MODULATION<br />

INDEX<br />

lout EXPONENTIAL<br />

Y------------~______o~L~ER~~T<br />

OUTPUT<br />

(8)<br />

Fig. &-6. Practical exponential converter. (A) Exponential voltage to current<br />

converter. (B) Linear voltage to current converter.<br />

op-amp bias currents, is typically set to around 10 /LA. When connected to<br />

the oscillator to be described later, a current range from about 0.25 /LA to<br />

0.25 rnA will cover the audible range. The resistor in series with the<br />

amplifier output serves to limit the maximum output current to a safe value.<br />

Like the two-diode circuit, the matched transistors cancel the major temperature<br />

dependence <strong>of</strong> the exponential converter. The output current flows into<br />

this exponential converter and the voltage-compliance range is from roughIy<br />

ground to the positive collector breakdown voltage. Note that negative-going<br />

input voltages result in increasing magnitudes <strong>of</strong> output current. The polarity<br />

may be reversed simply by swapping connections to the bases <strong>of</strong> the two<br />

transistors. This circuit performs well but still has two remaining imperfections,<br />

which will be remedied later.<br />

Linear Control Input<br />

A linear control input for the dynamic depth frequency modulation<br />

described in Chapter 3 can easily be added to this exponential converter. One<br />

possibility is to simply modulate the reference current by summing the linear<br />

control voltage with the reference voltage in the reference current regulator.<br />

The effect can be understood by noting the overall I/O relation for the<br />

exponential converter: lout = I",je39vin. Thus, the linear control voltage<br />

input multiplies the oscillator frequency by factors greater than unity for<br />

positive inputs or less than unity for negative inputs. Linear frequency modulation<br />

implemented through this input will be such that the modulation<br />

index (ratio <strong>of</strong>frequency deviation to center frequency) will be constant as the

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