A SOMEWHAT UNUSUAL APPROACH TO LUMPED ELEMENT MODELING: TIME DOMAIN IMPLEMENTATION OF COMPUTER-AIDED POLYNOMIAL SOLUTIONS TO LTI SYSTEMS VIA THE BILINEAR TRANSFORM (LUMPED ELEMENT TRANSDUCER EDITION)
INTRO Imagine you want to simulate a speaker, utilizing Thiele-Small parameters. It’s traditional and “easy” to obtain a frequency response graph with a lumped element model and a Laplace transform, but we live in the time domain, and you can’t hear a graph. I’ve stumbled into a method for directly translating any lumped element model of an LTI system into a set of filters which allow you to model the system’s response in time! Not only can…
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There are far more than five senses available to you in this awful wonderful human sensorium and one of them is the sense that You Could’ve Done Better. But this was not one of those times. You ever see something and think “I bet I could make that, but better, and more cost-effective”? You ever think “I could make a portable, hi-fi, PA speaker with shit-your-pants bass, noise-complaint SPL, and art-gallery looks”? You ever sit at home…
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Alexander Niemeyer 