Gaussian shapes minimize the bandwidth-duration product

Evidence

The Gaussian shape represents an optimum trade between the speed of variation in the temporal envelope and the bandwidth of the associated spectrum, in that the product of the bandwidth and duration is a minimum for the Gaussian shape. — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 89

Categorization

• DEFINE: Defines the Gaussian envelope as the optimum under the bandwidth-duration uncertainty tradeoff.