Topic
Discrete sine transform
About: Discrete sine transform is a research topic. Over the lifetime, 3269 publications have been published within this topic receiving 73181 citations.
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TL;DR: Based on Arnold transform and discrete fractional angular transform, a double image encryption algorithm is designed and the parameters of the two transforms serve as the additional keys for enhancing the security.
89 citations
18 May 1993
TL;DR: In this article, the authors present criteria for choosing the DFT window and derive a constraint for the window coefficients to insure that quantization error does not influence the estimate of the amplitude of a sine wave from the main lobe of its DFT.
Abstract: The discrete Fourier transform (DFT) can be used to compute the signal-to-noise ratio (SNR) and harmonic distortion of a waveform recorder. When the data record contains a non-integer number of cycles of the sine wave, energy leaks from the sine wave and its harmonics to adjacent frequencies. A.L. Benetazzo et al. (1992) describe a windowed DFT method for computing the RMS value of a sine wave from the magnitude of the main lobe of its DFT and recommend the use of minimum energy windows. We present criteria for choosing the DFT window. A constraint for the window coefficients is derived to insure that quantization error does not influence the estimate of the amplitude of a sine wave from the main lobe of its DFT. >
89 citations
TL;DR: A new factorization of the discrete Hartley transform is presented and it is used to derive new algorithms for the DHT and the discrete cosine transform with reduced number of multiplications.
Abstract: A new factorization of the discrete Hartley transform (DHT) is presented. It is used to derive new algorithms for the DHT and the discrete cosine transform (DCT) with reduced number of multiplications.
88 citations
TL;DR: The 3D discrete definition of the Radon transform is shown to be geometrically faithful as the planes used for summation exhibit no wraparound effects and there exists a special set of planes in the 3D case for which the transform is rapidly computable and invertible.
88 citations
TL;DR: The scale invariance of the Mellin transform and its optical synthesis in real-time are discussed in this article, where a scale invariant correlation and a combined Fourier-Mellin transform that is both scale and shift invariant are discussed.
Abstract: The scale invariance of the Mellin transform and its optical synthesis in real-time are discussed. An initial off-line demonstration of an optical Mellin transform is presented. A scale invariant correlation and a combined Fourier-Mellin transform that is both scale and shift invariant are discussed. Applications of these transforms in optical data processing and optical pattern recognition are emphasized.
87 citations