In this paper we elaborate upon the investigation initiated in [3] of typical and distinctive properties of the Fourier transform (FT), in particular the crucial role played by the Howe dual pair (O(m), sl2). We prove in detail a result on the unique characterization of the FT making extensive use of a representation of the Lie algebra sl2. As an example, we consider the case m = 1. We refer to...

Rapid and accurate identification of enterococci at the species level is an essential task in clinical microbiology since these organisms have emerged as one of the leading causes of nosocomial infections worldwide. Vibrational spectroscopic techniques (infrared [IR] and Raman) could provide potential alternatives to conventional typing methods, because they are fast, easy to perform, and econo...

The spatial organization of stromal collagen of ex-vivo corneas has been quantified in adaptive-optics second harmonic generation (SHG) images by means of an optimized Fourier transform (FT) based analysis. At a particular depth location, adjacent lamellae often present similar orientations and run parallel to the corneal surface. However this pattern might be combined with interweaved collagen...

In this paper a criterion for optimal choice of the maximum sidelobe decay window used in the interpolated discrete Fourier transform (IpDFT) method for estimating the parameters of a sine-wave is proposed. The window chosen by the proposed criterion is the window with the lowest order, which ensures that the systematic errors that affect the sine-wave parameters estimates are very small compar...

The master equation described by Badri Krishnan et al. [1] for the time-frequency pattern using the F-statistic is studied in context of the Chebyshev polynomial modified spindown parameters for the case of gravitational wave (GW) pulsar signals. The Chebyshev polynomial method enables an analytic and numeric evaluation of the Fourier transform (FT) for both the non-demodulated and F-statistic ...

Because of mass assignment onto grid points in the measurement of the power spectrum using the Fast Fourier Transform (FFT), the raw power spectrum |δ f (k)| 2 estimated with FFT is not the same as the true power spectrum P (k). In this paper, we derive the formula which relates |δ

We present a survey on the current status of the constructions of polyphase sequences with low correlation, discrete Fourier transform (DFT), and ambiguity in both time and phase domain, including some new insights and results. Firstly, we systematically introduce the concepts of phase-shift operators and ambiguity functions of sequences, and give a new construction of polyphase sequences from ...

In this study we describe the design, synthesis, and antibacterial activity of novel pleuromutilin analogs. A series of new compounds containing piperazine and alkylamino or arylamino groups was synthesized. The new compounds were characterized via (1)H-NMR, (13)C-NMR, Fourier transform (FT)-IR and MS, and were further evaluated for their in vitro activity against seven Gram-positive, and one G...

Introduction A near-infrared spectrum (12000 – 4000 cm-1) is composed of combination and overtone bands that are related to absorption frequencies in the mid-infrared region. These combination and overtone bands correspond to the frequencies of vibrations between the bonds of the atoms making up the material. Because each different material is a unique combination of atoms, no two compounds pro...

This article summarizes the basic principles of Fourier Transform Infrared Spectroscopy, with examples of methodologies and applications to different field sciences. Handbook of instrumental techniques from CCiTUB Applications of FTIR 1 ChT.3