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In this section, we provide precise mathematical definitions for the cannam@95: transforms that FFTW computes. These transform definitions are fairly cannam@95: standard, but some authors follow slightly different conventions for the cannam@95: normalization of the transform (the constant factor in front) and the cannam@95: sign of the complex exponent. We begin by presenting the cannam@95: one-dimensional (1d) transform definitions, and then give the cannam@95: straightforward extension to multi-dimensional transforms. cannam@95: cannam@95:
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