DOUBLE-SUM TECHNIQUE FOR PERFORMING A FOURIER TRANSFORMATION

Structural acoustics often utilizes Fourier transformation to either r eveal a phenomenon that is more directly recognized in one domain than in its Fourier conjugate domain or to employ complementarity in order to decipher a phenomenon. In this paper, a novel computational techni que is introduced. This technique advantageously performs this transfo rmation in situations in which specific spatial scales govern aliased factors in the integrand of a Fourier transformation. The technique ca n factorially save computational steps over corresponding computations that employ discrete Fourier transform procedures.