Towards a discrete electronic transmission line as a musical harmonic oscillator
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Proceedings of the Sound and Music Computing Conference, page 569--575. Berlin, Logos, (2013)

In analogy with strings and acoustic pipes as musical har- monic oscillators, a novice electronic oscillator is consid- ered. The equivalent circuit of a discrete representation of strings and pipes, which takes the form of a discrete transmission line, is constructed with real electronic com- ponents. The proposed model includes the ” equivalent se- ries resistances”, which seems to be the only relevant de- fault for both capacitors and inductors for this application. In an analytical approach, the complex wave number is de- rived, allowing the study of both the wave's dispersion and attenuation in function of frequency and resulting in rec- ommended and critical component values. Next, compo- nents are selected for a first eight-node prototype, which is numerically evaluated and then practically constructed and measured. The results prove a good match between theory and practice, with five distinguishable modes in the entrance impedance. A new prototype design is planned, which is expected to have much improved quality factors.
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