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Adaptive evaluation of the Sommerfeld-type integral using the chirp z-transform

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TLDR
An adaptive integration algorithm for the computation of the Sommerfeld-type integral has been developed that allows the user to specify the precise location of the desired range sample points and change the integration contour.
Abstract
An adaptive integration algorithm for the computation of the Sommerfeld-type integral has been developed. The algorithm allows the user to specify the precise location of the desired range sample points and change the integration contour. In addition, the algorithm can be used to recompute the Sommerfeld-type integral with different range resolutions without recomputing the integrand. It is also shown how the algorithm can be used to adaptively increase the number of integration points required to evaluate the Sommerfeld-type integral. Numerical results show that the algorithm is useful in many interesting areas. >

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Citations
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Journal ArticleDOI

A new approach in incoherent scatter F region E × B drift measurements at Jicamarca

TL;DR: In this article, a new signal processing approach based on Doppler spectrum estimation and nonlinear least squares fitting to model spectra obtained from incoherent scatter theory has been used to improve the instrumental sensitivity remarkably under low signal-to-noise conditions.
Journal ArticleDOI

Radiation from one-dimensional dielectric leaky-wave antennas

TL;DR: In this paper, the chirp z-transform (CZT) was used to calculate the radiation pattern in the one-dimensional case of dielectric leaky-wave antennas.
Journal ArticleDOI

Incoherent Scatter Spectral Theories—Part I: A General Framework and Results for Small Magnetic Aspect Angles

TL;DR: A general framework for the incoherent scatter radar spectral theories is presented in terms of the generalized Nyquist theorem, Kramers-Kronig relations, and the characteristic functions of random charge-carrier displacements in the ionosphere.
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Incoherent Scatter Spectral Theories—Part II: Modeling the Spectrum for Modes Propagating Perpendicular to ${\bf B}$

TL;DR: Incoherent scatter (IS) spectral models for collisional and magnetized F-region plasmas are developed based on a general framework described in part I and on the statistics of simulated particle trajectories.
Journal ArticleDOI

F-region electron density and T e / T i measurements using incoherent scatter power data collected at ALTAIR

TL;DR: In this article, the ALTAIR UHF radar was used in an incoherent scatter experiment to observe the low-latitude ionosphere during the Equis 2 rocket campaign.
References
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The fast Fourier Transform

TL;DR: A computer algorithm that computes the discrete Fourier transform much faster than other algorithms, is explained and examples and detailed procedures are provided to assist the reader in learning how to use the algorithm.
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The chirp z-transform algorithm

TL;DR: A computational algorithm for numerically evaluating the z -transform of a sequence of N samples is discussed, based on the fact that the values of the z-transform on a circular or spiral contour can be expressed as a discrete convolution.
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The chirp z-transform algorithm and its application

TL;DR: Applications discussed include: enhancement of poles in spectral analysis, high resolution narrow-band frequency analysis, interpolation of band-limited waveforms, and the conversion of a base 2 fast Fourier transform program into an arbitrary radix fast Fouriers transform program.
Journal ArticleDOI

A fast‐field program for sound propagation in a layered atmosphere above an impedance ground

TL;DR: In this paper, sound propagation in a layered atmosphere bounded by a ground, whose impedance is described by the Delany-Bazley-Chessell's empirical model, is formulated in terms of a Green's function integral in the spectral domain, and numerically evaluated by a Fast Field Program (FFP).
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