Download Dispersion Modeling in Waveguide Piano Synthesis Using Tunable Allpass Filters This paper extends a previously proposed method for designing filters simulating the dispersion phenomenon occurring in string instruments. In digital waveguide synthesis, the phenomenon is traditionally modeled by inserting an allpass filter to the string model feedback loop. In this paper, the concept of tunable dispersion filter design, which provides a closed-form formula to design a dispersion filter, is applied to a cascade of first-order allpass filters. Moreover, the method is extended to design a filter cascade including an arbitrary number of first-order filters. In addition, it is shown how the designed dispersion filter can be used in a waveguide piano synthesis model.
Download The Beating Equalizer and its Application to the Synthesis and Modification of Piano Tones This paper presents an improved method for simulating and modifying the beating effect in piano tones. The beating effect is an audible phenomenon, which is characteristic to the piano, and, hence, it should be accounted for in realistic piano synthesis. The proposed method, which is independent of the synthesis technique, contains a cascade of second-order equalizing filters, where each filter produces the beating effect for a single partial by modulating the peak gain. Moreover, the method offers a way to control the beating frequency and the beating depth, and it can be used to modify the beating envelope in existing tones. The results show that the proposed method is able to simulate the desired beating effect.