Wave Digital Mass-Spring Oscillator

Let's look again at the mass-spring oscillator of §F.3.4, but this time without the driving force (which effectively decouples the mass and spring into separate first-order systems). The physical diagram and equivalent circuit are shown in Fig.F.32 and Fig.F.33, respectively.

Note that the mass and spring can be regarded as being in parallel or
in series. Under the parallel interpretation, we have the WDF shown
in Fig.F.34 and Fig.F.35.^{F.5}
The reflection coefficient
can be computed, as usual, from
the first alpha parameter:

This result, , is just the ``impedance step over impedance sum'', so no calculation was really necessary.

- Oscillation Frequency
- DC Analysis of the WD Mass-Spring Oscillator
- WD Mass-Spring Oscillator at Half the Sampling Rate
- Linearly Growing State Variables in WD Mass-Spring Oscillator
- A Signal Processing Perspective on Repeated Mass-Spring Poles
- Physical Perspective on Repeated Poles in Mass-Spring System
- Mass-Spring Boundedness in Reality
- Energy-Preserving Parameter Changes (Mass-Spring Oscillator)
- Exercises in Wave Digital Modeling

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