Journal ArticleDOI
Interpolation using type I discrete cosine transform
TLDR
In this article, a novel interpolation method using the type I discrete cosine transform (DCT-I) is introduced, where the original definition of the DCT is modified to suit this application.Abstract:
A novel interpolation method, using the type I discrete cosine transform (DCT-I), is introduced. The original definition of the DCT-I has been modified to suit this application. Three options for the modified DCT-I are proposed.read more
Citations
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Journal ArticleDOI
Prolog to a chronology of interpolation: from ancient astronomy to modern signal and image processing
E. Meijering,H. Falk +1 more
TL;DR: A chronological overview of the developments in interpolation theory, from the earliest times to the present date, brings out the connections between the results obtained in different ages, thereby putting the techniques currently used in signal and image processing into historical perspective.
Journal ArticleDOI
Interpolation using the discrete cosine transform
TL;DR: The DCT algorithms are shown to be more accurate and outperform algorithms based on the Wang modified DCT-I which was proposed to replace the DCT for interpolation purposes.
Journal ArticleDOI
DFT time-domain interpolation
TL;DR: The exact interpolation kernel for the so-called 'FFT method' is derived and compared with that for the 'zero-interlace' method associated with 'unsampling', which yields precisely the same result, but the FFT method produces it using a finite-length sum, whereas the sum for the other method is infinite-length.
Journal ArticleDOI
Discrete and continuous sine transform generalized to semisimple Lie groups of rank two
Jiri Patera,A. Zaratsyan +1 more
TL;DR: In this article, a continuous group transform, together with its discretization over a lattice of any density and admissible symmetry, is defined and described for the four compact semisimple Lie groups of rank 2.
Journal ArticleDOI
Interpolation using the discrete cosine transform : reconsideration
TL;DR: In this article, a letter by Agbinya misused the method of interpolation using the type I discrete cosine transform (DCT-I), and did not give a correct interpolation scheme using the conventional DCT.
References
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Journal ArticleDOI
A digital signal processing approach to interpolation
TL;DR: In this article, the authors examined the relative merits of finite-duration impulse response (FIR) and infinite duration impulse response(IIR) digital filters as interpolation filters and showed that FIR filters are generally to be preferred for interpolation.
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Fast algorithms for the discrete W transform and for the discrete Fourier transform
TL;DR: A systematic method of sparse matrix factorization is developed for all four versions of the discrete W transform, the discrete cosine transform, and the discrete sine transform as well as for the discrete Fourier transform, which makes new algorithms more efficient than conventional algorithms.
Journal ArticleDOI
Discrete Hartley transform
TL;DR: The discrete Hartley transform (DHT) resembles the discrete Fourier transform (DFT) but is free from two characteristics of the DFT that are sometimes computationally undesirable and promises to speed up Fourier-transform calculations.
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Interpolation by the FFT revisited-an experimental investigation
TL;DR: The experiments show that, with no input windowing, the accuracy of interpolation is almost independent of sinusoidal wavelength very close to the Nyquist limit, and small-kernal convolution methods, such as linear interpolation and cubic convolution, perform badly at wavelengths anywhere near the Nyqvist limit.