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Digital Waveform Generation by Pete Symons

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3 Recursive sine wave oscillators

This chapter investigates sinusoidal oscillators based upon recursive algorithms. Recursive oscillators are essentially discrete-time simulations of physical (e.g. mass-spring) oscillatory systems having a simple harmonic motion with zero damping as their solution. Accordingly, this type of oscillating system can only produce sinusoidal waveforms. The principal advantage of all recursive oscillators is their computational simplicity enabling low cost implementation. However, there are also several distinct shortcomings whose importance depends upon application. For example, non-linear frequency control, oscillation amplitude instability or arithmetic round-off noise growth over time.

There are many recursive oscillator ...

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