منابع مشابه
Multidimensional orthogonal FM transforms
The present a novel class of multidimensional orthogonal FM transforms. The analysis suggests a novel signal-adaptive FM transform possessing interesting energy compaction properties. We show that the proposed signal-adaptive FM transform produces point spectra for multidimensional signals with uniformly distributed samples. This suggests that the proposed transform is suitable for energy compa...
متن کاملGeneralized multidimensional Hilbert transforms in Clifford analysis
During the last fifty years, Clifford analysis has gradually developed to a comprehensive theory offering a direct, elegant, and powerful generalization to higher dimension of the theory of holomorphic functions in the complex plane. In its most simple but still useful setting, flat m-dimensional Euclidean space, Clifford analysis focusses on the so-called monogenic functions, that is, null sol...
متن کاملEmbedded Reconfigurable Architectures for Multidimensional Transforms
This paper presents a general approach for generating higher order (longer size) multidimensional (m-d) architectures from m 2 lower order (shorter sizes) architectures. The objective of our work is to derive a unified framework and a design methodology that allows direct mapping of the proposed algorithms into embedded reconfigurable architectures such as FPGAs. Our methodology is based on man...
متن کاملMultidimensional Fast Gauss Transforms by Chebyshev Expansions
A new version of the fast Gauss transform (FGT) is introduced which is based on a truncated Chebyshev series expansion of the Gaussian. Unlike the traditional fast algorithms, the scheme does not subdivide sources and evaluation points into multiple clusters. Instead, the whole problem geometry is treated as a single cluster. Estimates for the error as a function of the dimension d and the expa...
متن کاملFourth-order Tensors with Multidimensional Discrete Transforms
The big data era is swamping areas including data analysis, machine/deep learning, signal processing, statistics, scientific computing, and cloud computing. The multidimensional feature and huge volume of big data put urgent requirements to the development of multilinear modeling tools and efficient algorithms. In this paper, we build a novel multilinear tensor space that supports useful algori...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ASEG Extended Abstracts
سال: 2018
ISSN: 2202-0586
DOI: 10.1071/aseg2018abw10_3d