Discrete Sine Transform Dct
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Hui Li; Ping Li; Yiwen Wang; Qi Tang; Lijian Gao Signal Processing Letters, IEEE, 2009
In this letter, a new decomposition algorithm of type-IV discrete cosine transform/type-IV discrete sine transform (DCT-IV/DST-IV) and architecture of a hardware accelerator for realizing fast inverse modified discrete cosine transform (IMDCT) computation are presented. The comparisons of computational complexity with some well-known algorithms show that the proposed algorithm possesses the advantages of higher computational efficiency and simpler hardware implementation. A ...
Soo-Chang Pei; Jian-Jiun Ding Signal Processing, IEEE Transactions on, 2000
The integer transform (such as the Walsh transform) is the discrete transform that all the entries of the transform matrix are integer. It is much easier to implement because the real number multiplication operations can be avoided, but the performance is usually worse. On the other hand, the noninteger transform, such as the DFT and DCT, has a good performance, ...
Suresh, K.; Sreenivas, T.V. Signal Processing Letters, IEEE, 2008
We derive expressions for convolution multiplication properties of discrete cosine transform II (DCT II) starting from equivalent discrete Fourier transform (DFT) representations. Using these expressions, a method for implementing linear filtering through block convolution in the DCT II domain is presented. For the case of nonsymmetric impulse response, additional discrete sine transform II (DST II) is required for implementing the ...
Soo-Chang Pei; Wen-Liang Hsue Signal Processing, IEEE Transactions on, 2008
In this paper, we first establish new relationships in matrix forms among discrete Fourier transform (DFT), generalized DFT (GDFT), and various types of discrete cosine transform (DCT) and discrete sine transform (DST) matrices. Two new independent tridiagonal commuting matrices for each of DCT and DST matrices of types I, IV, V, and VIII are then derived from the existing commuting ...
Sedukhin, S.G.; Zekri, A.S.; Myiazaki, T. Parallel Processing Workshops (ICPPW), 2010 39th International Conference on, 2010
The two-dimensional (2D) forward/inverse discrete Fourier transform (DFT), discrete cosine transform (DCT), discrete sine transform (DST), discrete Hartley transform (DHT), discrete Walsh-Hadamard transform (DWHT), play a fundamental role in many practical applications. Due to the separability property, all these transforms can be uniquely defined as a triple matrix product with one matrix transposition. Based on a systematic approach to represent ...
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