In virtual analog synthesis of traditional waveforms, several approaches have been developed for smoothing the discontinuities in trivial waveforms to reduce or eliminate aliasing while attempting to preserve both the time and frequency domain responses of the original analog waveforms. The Bandlimited Step Method (BLEP) has been found to produce excellent results with low computational overhead. 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. This paper discusses the relationships that exist between the BLEP method, Gibbs Phenomenon, and the Lanczos Sigma correction method.
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