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Perceptually Alias-Free Waveform Generation Using the Bandlimited Step Method and Genetic Algorithm

Quasi-Bandlimited waveforms may be synthesized by smoothing the discontinuities of trivial waveforms using the Bandlimited Step Method (BLEP) that produces excellent results with low computational overhead [1]. The correction scheme first starts with a sinc function—the impulse response of a low-pass filter—and uses it to generate offset values that are applied to the points around the discontinuity. Windowing the sinc function prior to use is found to reduce aliasing at the expense of the harmonic envelope, whose shape is no longer ideal. In this paper we explore two methods for generating the initial sinc function in an effort to achieve a perceptually alias-free waveform. Both approaches involve using the Genetic Algorithm as a search method.

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