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Musical-Applications-of-Microprocessors-2ed-Chamberlin-H-1987

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SOUND MODIFICATION METHODS 65<br />

longer harmonically related. Sounds that normally have harmonic spectra<br />

undergo a complete change in some aspects <strong>of</strong> their timbre when shifted a<br />

few tens <strong>of</strong> hertz, while other aspects are relatively unaffected. In particular,<br />

they tend to take on a sort <strong>of</strong> "watery" texture. Quality spectrum shifters that<br />

have good low-frequency response and work properly even with small<br />

amounts <strong>of</strong> shift are still relatively complex and expensive.<br />

A related but much simpler device is the balanced modulator, which is<br />

also known as a ring modulator. The·device has two signal inputs that are<br />

identical and an output. In operation, an instantaneous output voltage equal<br />

to the product <strong>of</strong> the two input voltages with all algebraic sign conventions<br />

observed is generated. Figure 2-9 shows the output waveform with two<br />

different frequency sine waves as inputs. Note that the output spectrum<br />

contains neither <strong>of</strong> the input frequencies but does contain a sum frequency <strong>of</strong><br />

1,200 Hz and a difference frequency <strong>of</strong> 800 Hz.<br />

In order to more fully understand the physical effect, consider an<br />

experiment in which one <strong>of</strong> the inputs is connected to a complex waveform<br />

with a lot <strong>of</strong> frequency components and the other input is connected to a<br />

variable-frequency sine wave oscillator. With the oscillator set to zero frequency,<br />

the output is the same as the other input. As the oscillator frequency<br />

increases, a spectral plot <strong>of</strong> the output, as in Fig. 2-10, would show each<br />

frequency component splitting into twO components, which then move away<br />

from each other. Thus, one copy <strong>of</strong> the input spectrum shifts down in<br />

FREQUENCY (Hz)<br />

+<br />

Or----------r--------1'-----------t--~--~-.<br />

lAl<br />

Fig. 2-9. Action <strong>of</strong> the balanced modulator. (A) Input to A.

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