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: The authors propose an orthogonal, unitary transformation called the modified Hermite transformation (MHT) and its extension, which is called the modular modified Hermites transformation (MMHT), which is efficient computationally and comparable to the DCT for AR(1) source models with positive correlation coefficients.
Abstract: The authors propose an orthogonal, unitary transformation called the modified Hermite transformation (MHT) and its extension, which is called the modular modified Hermite transformation (MMHT). The MHT algorithm, which is an efficient algorithm, is explained and explored. The MHT is compared to the discrete cosine transform (DCT) for various AR(1) input signal source models using the performance criterion of gain over PCM, denoted by /sup N/G/sub TC/. The MHT algorithm requires only 2N real multiplications or divisions for a transformation of a signal block of N samples. It is also used for the inverse transformation, IMHT, and makes this new transform attractive. It is efficient computationally and comparable to the DCT for AR(1) source models with positive correlation coefficients, it is somewhat better than the DCT for negative correlation coefficients. >
33 citations
TL;DR: In this paper, it was shown that information of order six suffices to determine a structure uniquely, where six is the number of atoms in a set of equal atoms that can occupy positions on a circle subdivided into equally spaced markings.
Abstract: The three-dimensional configuration of crystallized structures is obtained by reading off partial information about the Fourier transform of such structures from diffraction data obtained with an X-ray source. We consider a discrete version of this problem and discuss the extent to which `intensity only' measurements as well as `higher-order invariants' can be used to settle the reconstruction problem. This discrete version is an extension of the study undertaken by Patterson in terms of `cyclotomic sets', corresponding to arrangements of equal atoms that can occupy positions on a circle subdivided into N equally spaced markings. This model comes about when the usual three-dimensional Fourier transform is replaced by a one-dimensional discrete Fourier transform. The model in this paper considers molecules made up of atoms with possibly different (integer-valued) atomic numbers. It is shown that information of order six suffices to determine a structure uniquely.
33 citations
Patent•
17 Jul 2001
TL;DR: In this article, a generalized lapped biorthogonal transform embedded inverse discrete cosine transform (ge-IDCT) was proposed as an alternative to the traditional IDCT within a system for image compression.
Abstract: A generalized lapped biorthogonal transform embedded inverse discrete cosine transform (ge-IDCT) (20), as an alternative to the inverse discrete cosine transform (IDCT) within a system for still image compression. The ge-IDCT (20) takes advantage of the DCT (18) front end of the generalized lapped biorthogonal transform (GLBT) in inverse transforming the DCT (18) coefficients. Non-linear weighting is used in the embedded lapped transform domain (16), so that the ge-IDCT (20) can reconstruct the signal with alleviated blockishness. In another embodiment, the disclosed system includes a post-processing method to reduce anomalies caused by blocking artifacts by applying a lapped orthogonal transform-embedded inverse discrete cosine transform (le-IDCT), as a substitute for the usual inverse DCT (18). For the reduction of ringing artifacts, a nonlinear robust filter is applied to the decoded picture frame.
33 citations
31 Dec 2012
TL;DR: Experimental results show the promising performance of the proposed algorithm for watermarking with peak Signal to Noise Ratio values for the watermarked image in the range of 65 to 85 dB and maximum correlation of 0.9998 are achieved.
Abstract: This paper proposes a Digital Watermarking Algorithm using a unique combination of Discrete Wavelet Transform (DWT), Discrete Fourier Transform (DFT) and Singular Value Decomposition (SVD) for secured transmission of data through watermarking digital color images. The singular values obtained from SVD of DWT+DFT transformed watermark is embedded onto the singular values obtained from SVD of DWT+DFT transformed color image. Experimental results show the promising performance of the proposed algorithm for watermarking. Peak Signal to Noise Ratio (PSNR) values for the watermarked image in the range of 65 to 85 dB and maximum correlation of 0.9998 are achieved.
33 citations
Patent•
22 Oct 1969TL;DR: In making a record of the exact Fourier transform of an array of beams of electromagnetic radiation, the phase of each of a substantial fraction of the beams is shifted by a constant amount before recording the transform as discussed by the authors.
Abstract: In making a record of the exact Fourier transform of an array of beams of electromagnetic radiation, the phase of each of a substantial fraction of the beams is shifted by a constant amount before recording the transform.
33 citations