Journal ArticleDOI
A Family of Optimal Window Functions for Spectral Analysis with the Spectrum Sidelobe Falloff Rate Multiple of 12 dB per Octave
G. V. Zaytsev,A. D. Khzmalyan +1 more
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TLDR
In this article, a synthesis problem is solved for low-order windows with the sidelobe spectrum falloff rate equal to 12n decibel per octave (dB/oct), where n is an integer, that are optimal by the criterion of the minimum highest spectrum sidelobe level over a given frequency region outside the main lobe.Abstract:
A synthesis problem is solved for low-order windows with the sidelobe spectrum falloff rate equal to 12n decibel per octave (dB/oct), where n is an integer, that are optimal by the criterion of the minimum highest spectrum sidelobe level over a given frequency region outside the main lobe. To obtain this sidelobe falloff rate, it is proposed to synthesize the windows in the form of a portion of the Fourier series in terms of cosine functions with an odd number of half-waves along the observation interval. A synthesis method for the optimal functions with verification of the solution is developed. Order 3 to 6 windows with sidelobe falloff rates 12, 24, and 36 dB/oct are synthesized and their parameters are presented.read more
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Journal ArticleDOI
Generalized Adaptive Polynomial Window Function
João F. Justo,Wesley Beccaro +1 more
TL;DR: The Generalized Adaptive Polynomial window function is proposed, a non-linear polynomial form in which all the current window functions could be considered as special cases, and its functional flexibility allows fitting the expansion coefficients to optimize a certain desirable property in time or frequency domains.
Journal ArticleDOI
Enhanced target detection using a new combined sonar waveform design
TL;DR: A method for combining wideband and narrowband waveforms is proposed to improve target detection in shallow water environments and a sonar waveform design suitable for target speed has been proposed too.
Journal ArticleDOI
Synthesis of Fast-Decaying Window Functions [Lecture Notes]
TL;DR: A window function is a mathematical function that is zero valued outside some chosen interval as discussed by the authors , and it can be used for filtering, detection, and estimation, which are in general real and even functions.
Proceedings ArticleDOI
A Family of Optimal Polynomial Windows for Harmonic Analysis with Arbitrary Spectrum Sidelobe Falloff Rate
TL;DR: In this article, a method is proposed to construct polynomial windows for spectral analysis with an arbitrary spectrum sidelobe envelope falloff rate $V$ ≥ 6 decibel per octave.
References
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Journal ArticleDOI
On the use of windows for harmonic analysis with the discrete Fourier transform
TL;DR: A comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared is included, and an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.
Journal ArticleDOI
Some windows with very good sidelobe behavior
TL;DR: Correct plots of Harris' windows are presented and additional windows with very good sidelobes and optimal behavior under several different constraints are derived.
New Methods for Harmonic Analysis of Signals Using Window Functions
TL;DR: New methods for high efficiency window function calculation are described and modification of Dolph-Chebyshev and Barcilon-Temes window functions is proposed, which improves some characteristic features of the windows.