New algorithms for multidimensional discrete Hartley transform
Signal Processing
Fast unified computation of the multi-dimensional discrete sinusoidal transforms
Applied Mathematics and Computation
Pipeline architectures for radix-2 new Mersenne number transform
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2008 custom integrated circuits conference (CICC 2008)
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In the processing of real-valued data, a purely real transform such as the Hartley transform is more desirable than the complex Fourier transform because it avoids unnecessary complex computations. This advantage is most significant in multidimensional transformations, where a large amount of data has to be processed. A multidimensional fast Hartley transform algorithm is described that successively applies 1D Fourier transforms. Redundant operations are reduced to a minimum. Special indexing schemes (parity operators) are introduced to avoid unscrambling procedures