In this paper, one-dimensional (1-D) fast 8 8 inverse integer transform algorithm for Windows Media Video 9 (WMV-9/VC-1) is proposed. Based on the symmetric property of the integer transform matrix and the matrix operations, which denote the row/column permutations and the matrix decompositions, the efficient fast 1-D 8 8 inverse integer transform is developed. Therefore, the computational comp...

We study the following question: if f is a nonzero measurable function on [ 0 , ∞ ) and m n are distinct nonnegative integers, does ratio ˆ / of Laplace transforms powers uniquely determine ? By inverse transform, answer yes or zero. Under some assumptions smoothness we show that in general case also affirmative. The question arose from problem economics, specifically auction theory, where cumu...

The chirplet transform is the generalization form of fast Fourier Transform, short-time Fourier transform, and wavelet transform. It has the most flexible time frequency window and successfully used in practices. However, the chirplet transform has not inherent inverse transform, and can not overcome the signal reconstructing problem. In this paper, we proposed the improved chirplet transform (...

Harmonic analysis is at the heart of much of signal and image processing. This is mainly the harmonic analysis of abelian groups, and ultimately, after sampling, and quantizing, finite abelian groups. Nevertheless, this general group theoretic viewpoint has proved fruitful, yielding a natural group-based multiresolution framework as well as some new and potentially useful nonabelian examples. T...

The traditional study of reproducing systems involves the Gabor systems, that are generated by the action of translations and modulations on a single or finite family of functions in L2(Rn), and the affine systems, where the dilations are used rather than the modulations. In this paper, we show that the interplay of all three operators yield a wide variate of reproducing systems, and we employ ...

High Efficiency Video Coding (HEVC) inverse transform for residual coding uses 2-D 4x4 to 32x32 transforms with higher precision as compared to H.264/AVC’s 4x4 and 8x8 transforms resulting in an increased hardware complexity. In this paper, an energy and area-efficient VLSI architecture of an HEVC-compliant inverse transform and dequantization engine is presented. We implement a pipelining sche...