Internal Operation
The internal operation of the chip is completely digital. Each FM-tone is generated by a digital oscillator using a form of direct digital synthesis. A quarter of the log-transformed sine waveform is stored as a sampled approximation in a 256-word read-only memory (ROM) table. The rest of the sine-waveform is extrapolated via its property of symmetry. Scaling the output of an oscillator to a wanted volume would normally be done by multiplication, but the YM3812 avoids multiplications by operating on log-transformed signals, which reduces multiplications into computationally cheaper additions. Another 256-word ROM stores the exponential function as a lookup table, used to convert the logarithmic scale signal back to linear scale when required, as the final stage where the oscillator-outputs are summed together (just prior to the DAC-output bus.) The YM3812's output, a sequence of floating point numbers clocked at a sampling frequency of approximately 49716 Hz, is sent to a separate digital-to-analog converter (DAC) chip, the YM3014B.
Read more about this topic: Yamaha YM3812
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