Showing papers on "Phase correlation published in 1975"
01 Feb 1975
TL;DR: A CCD transversal filter chip, which performs a 500-point discrete Fourier transform using the chirp z-transform algorithm, will be described.
Abstract: A CCD transversal filter chip, which performs a 500-point discrete Fourier transform using the chirp z-transform algorithm, will be described. Performance characteristics will be demonstrated, new operational modes presented, and system applications discussed.
23 citations
TL;DR: In this paper, it was shown that every locally summable function that is positive definite in Cooper's sense belongs to R(
Abstract: exists and is finite. The motivation for the present work stems from Cooper's paper ([3]), where he generalized the notion of a positive definite function, which owes its inception to 1\\iathias ([7]) and its importa,nce to Bochner ([1]). It will turn out, that every locally summable function that is posit,ive definite in Cooper's sense belongs to R(
10 citations
01 Sep 1975
TL;DR: A Gaussian method for fast evaluation of approximations to Fourier integral transforms is presented, which is faster than the FFT for transforms of functions that require considerable computer time to compute.
Abstract: A Gaussian method for fast evaluation of approximations to Fourier integral transforms is presented. This method is faster than the FFT for transforms of functions that require considerable computer time to compute. It is especially useful when transforms of high accuracy are needed.
6 citations
TL;DR: In this article, Fourier transforms of LEED intensities contain convolution products of functions of the interatomic vectors with data truncation, lattice vibration and potential windows, and the dominant structural information in the transform originates from kinematical processes.
Abstract: Fourier transforms of LEED intensities contain convolution products of functions of the interatomic vectors with data truncation, lattice vibration and potential windows. The dominant structural information in the transform originates from kinematical processes. Extraction of structural parameters of the surface, can be achieved upon a proper deconvolution of the windows from the transforms of the intensities.
2 citations
01 Apr 1975
TL;DR: A numerical image reconstruction technique is proposed, where the images are calculated by performing a Fourier transform once instead of transforming twice as in the conventional method, which enables us to reconstruct images from off-axis holograms.
Abstract: A numerical image reconstruction technique is proposed, where the images are calculated by performing a Fourier transform once instead of transforming twice as in the conventional method. This technique enables us to reconstruct images from off-axis holograms. An image reconstruction experiment was done with a sound-wave hologram of 18 kHz.
01 Jan 1975
TL;DR: In this article, the discrete Fourier transform (DFT) is defined and several properties of its properties are developed, such as convolution and correlation theorems and spectral properties such as amplitude, phase, and power spectra.
Abstract: The Fourier representation of analog signals was discussed in the previous chapter. This representation is now extended to data sequences, and digital signals. To this end, the discrete Fourier transform (DFT) is defined and several of its properties are developed. Specifically, the convolution and correlation theorems are described and the spectral properties such as amplitude, phase, and power spectra are developed. By illustrating the 2-dimensional DFT, it is shown that the DFT can be extended to multiple dimensions. Finally, the concepts of time-varying Fourier power and phase spectra are introduced.