Many natural and man-made signals including speech and music are well-modeled by Laplace distributions. Yet testing, evaluation, design, and simulation of devices and systems are often performed with a sine or noise with much different distributions. Such practice, while generally useful, can lead to erroneous estimates of system performance. Three novel methods each with several optimized variations are presented herein to generate continuous—and computable at arbitrary instants of time—signals with nearly Laplace distributions. Further, each method produces signals that are band-limited and thus do not require a low pass filter when used with sampled systems or limited-bandwidth channels. In the bargain, some distribution functions are presented that might not be widely known. Implementations are summarized in readily accessible form. Other distributions can also do well modeling the same signal types and the methods described can all be adapted to generate signals with these density distributions that are strongly peaked around the origin.
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