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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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Proceedings ArticleDOI
06 Jul 2014
TL;DR: This paper reformulate the fuzzy transform of higher degree proposed originally for an approximation of continuous functions to the discrete case and introduces two types of Fm-transform which components are defined using polynomials in the first case and using specific values of these polynomial values in the second case.
Abstract: In this paper, we reformulate the fuzzy transform of higher degree (F m -transform) proposed originally for an approximation of continuous functions to the discrete case. We introduce two types of F m -transform which components are defined using polynomials in the first case and using specific values of these polynomials in the second case. We provide an analysis of basic properties of F m -transform.

13 citations

Journal ArticleDOI
TL;DR: The authors explain theoretically this asymmetrical performance of the DCT as well as the behavior of the modified Hermite transform (MHT) and the discrete Hadamard transform (DHT), which perform symmetrically regardless of the sign of the autocorrelation coefficient.
Abstract: The discrete cosine transform (DCT) is considered as a suboptimum transform for many practical source-coding applications. Autoregressive order 1 (AR(1)) source models are good first approximations to several natural signals. It is known that the performance of the DCT depends on the sign of the autocorrelation coefficient of the AR(1) source. The authors explain theoretically this asymmetrical performance of the DCT as well as the behavior of the modified Hermite transform (MHT) and the discrete Hadamard transform (DHT), which perform symmetrically regardless of the sign of the autocorrelation coefficient. >

13 citations

Journal ArticleDOI
TL;DR: A new polynomial transform algorithm for the MDDWT is obtained that needs no operations on complex data and the number of multiplications for computing an r-dimensional DWT is only 1 times that of the commonly used row-column method.
Abstract: The multidimensional (MD) polynomial transform is used to convert the MD W transform (MDDWT) into a series of one-dimensional (1-D) W transforms (DWTs). Thus, a new polynomial transform algorithm for the MDDWT is obtained. The algorithm needs no operations on complex data. The number of multiplications for computing an r-dimensional DWT is only 1 times that of the commonly used row-column method. The number of additions is also reduced considerably.

13 citations

Proceedings ArticleDOI
15 Oct 2003
TL;DR: In this paper, the authors proposed a new spectral estimator based on discrete cosine transform (DCT) and modified group delay function (MGD) for the clean autoregressive (AR) process.
Abstract: This paper proposes a new spectral estimator based on discrete cosine transform (DCT) and modified group delay function (MGD) (DCTMGD). The new estimator provides a significant reduction in variance and bias, better signal detection ability and frequency resolution compared with those of based on DFT (DFTMGD). The DCT provides reduced bias and hence enables good signal detection ability. The MGD enables better variance reduction without any loss in frequency resolution. For two sinusoids in noise, it has an improvement in variance of about 63% for SNR= 20 dB and 57% for SNR=0 dB, over those of DFTMGD. For the clean autoregressive (AR) process, the root mean square error (RMSE) reduces by 35% over that of DFTMGD. Further it is able to detect a sinusoid which is about 25 dB below AR spectral peaks.

13 citations

Proceedings ArticleDOI
27 May 2008
TL;DR: In this paper, an alternative transform based on the correlation of the residual signal is proposed for the improvement of the H.264/AVC coding efficiency, which combines the discrete sine transform and the integer cosine transform in order to greatly compact the energy of the signal.
Abstract: An alternative transform based on the correlation of the residual signal is proposed for the improvement of the H.264/AVC coding efficiency. To make use of this alternative transform in video coding, discrete sine transform and integer sine transform are used alternately with integer cosine transform in order to greatly compact the energy of the signal when the correlation coefficients of the signal are relatively low. Therefore, the discrete sine transform and the integer sine transform are suggested to be used in conjunction with the integer cosine transform in H.264/AVC. The alternative transform that selects the optimal transform between two transforms by using rate-distortion optimization in H.264/AVC shows a coding gain compared with H.264/AVC. Based on the experimental results, the proposed method with the discrete sine transform achieves a BD-PSNR gain of up to 0.68 dB compared to JM 10.2 at relatively high bitrates.

13 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20234
202234
202124
202021
201925
201833