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AMC
2010
83views more  AMC 2010»
13 years 4 months ago
Windowed Fourier transform of two-dimensional quaternionic signals
In this paper, we generalize the classical windowed Fourier transform (WFT) to quaternionvalued signals, called the quaternionic windowed Fourier transform (QWFT). Using the spect...
Mawardi Bahri, Eckhard S. M. Hitzer, Ryuichi Ashin...
ICIP
2004
IEEE
14 years 6 months ago
Quaternion wavelets for image analysis and processing
Using the concepts of two-dimensional Hilbert transform and analytic signal, we construct a new quaternion wavelet transform (QWT). The QWT forms a tight frame and can be efficien...
Wai Lam Chan, Hyeokho Choi, Richard G. Baraniuk
CAIP
1999
Springer
145views Image Analysis» more  CAIP 1999»
13 years 8 months ago
Optimized Fast Algorithms for the Quaternionic Fourier Transform
Abstract. In this article, we deal with fast algorithms for the quaternionic Fourier transform (QFT). Our aim is to give a guideline for choosing algorithms in practical cases. Hen...
Michael Felsberg, Gerald Sommer
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 4 months ago
New Sequences Design from Weil Representation with Low Two-Dimensional Correlation in Both Time and Phase Shifts
For a given prime p, a new construction of families of the complex valued sequences of period p with efficient implementation is given by applying both multiplicative characters a...
Zilong Wang, Guang Gong
JOT
2010
186views more  JOT 2010»
13 years 3 months ago
The Discrete Fourier Transform, Part 6: Cross-Correlation
This paper is part 6 in a series of papers about the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT). The focus of this paper is on correlation....
Douglas Lyon