Download Stable Structures for Nonlinear Biquad Filters Biquad filters are a common tool for filter design. In this writing,
we develop two structures for creating biquad filters with nonlinear elements. We provide conditions for the guaranteed stability of
the nonlinear filters, and derive expressions for instantaneous pole
analysis. Finally, we examine example filters built with these nonlinear structures, and show how the first nonlinear structure can be
used in the context of analog modelling.
Download Water Bottle Synthesis With Modal Signal Processing We present a method for accurately synthesizing the acoustic response of a water bottle using modal signal processing. We start
with extensive measurements of two water bottles with considerations for how the level of water inside the bottles, the area covered
by stickers attached to the exterior of the bottles, and the method
of striking the bottles affect their sound. We perform modal analysis of these measurements and implement a real-time modal water
bottle synthesizer.