Mixed Fourier transforms and image encryption
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Fractional Fourier transform: a survey
Proceedings of the International Conference on Advances in Computing, Communications and Informatics
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The continuous-time angular Fourier transformation (AFT) represents a rotation in continuous time-frequency space and also serves as an orthonormal signal representation for chirp signals. We present a discrete version of the AFT (DRFT) that represents a rotation in discrete time-frequency space and some properties of the transform that support its interpretation as a rotation. The transform is a generalization of the DFT. The eigenvalue structure of the DFT is then exploited to develop an efficient algorithm for the computation of this transform.