New constructions of weight windows based on atomic functions in problems of speech-signal processing

Кравченко, В. Ф.; Басараб, М. А.; Пустовойт, В. И.; Pérez-Meana, H.

doi:10.1134/1.1364722

Cited by 4 publications

(5 citation statements)

References 2 publications

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“…, L − 1), if k = 0, owing to dG dx = cos(x) and dQ dx = 1 cos 2 (x) , then dG dx < dQ dx . Moreover as G and Q come from 0 all, (4) has no solution on the interval 0 < x < π.…”

Section: Proof (3) Becomesmentioning

confidence: 96%

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Sinc Sum Function and Its Application on FIR Filter Design

Wang

2009

Acta Appl Math

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A new function is found and is defined as sinc sum function by the author. It has outstanding properties of stairs shape, global symmetry, local symmetry, derivative formula simplicity, local extreme certainty, oscillation regularity, extreme value stability, etc. These properties are proved. Geometry meaning is explained. As an application of the function, the author has developed a new method to design FIR digital filters with adjustable weights. Filter formula in time domain is the weighted sum of sub-filters. A novel form of frequency response expression is deduced which is the sum of sinc sum functions. One of the remarkable characteristics of the form is that weights of sub-filters can be directly calculated according to the expression. Completing the calculation of the weights means finishing the design of a filter. The weights can be either adjustable or fixed. A method to determine the weights are given. Three examples using the method are selected for the consideration that the new method can be easily compared with some famous window methods. Three new filter formulas are produced. Much better performances can be obtained using these formulas compared with using Hanning window and Blackman window respectively. And the performance designing with the new method is slightly better than that with Hamming window. For fixed weights it is almost as easy as using fixed window to calculate filter coefficients.

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“…, L − 1), if k = 0, owing to dG dx = cos(x) and dQ dx = 1 cos 2 (x) , then dG dx < dQ dx . Moreover as G and Q come from 0 all, (4) has no solution on the interval 0 < x < π.…”

Section: Proof (3) Becomesmentioning

confidence: 96%

“…Window functions are continually discovered or improved, for instance, Weight Windows Based on Atomic Functions [4], Polynomial windows [5], Z-window [6], New bases of functions [7]. Each window function has its special characteristics and is used in deferent situations.…”

mentioning

confidence: 99%

Sinc Sum Function and Its Application on FIR Filter Design

Wang

2009

Acta Appl Math

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“…AFs are widely used in different areas of computational physics and also in digital signal processing and image restoration 10,11 , however until now they begin to use in radar applications. It is well known that a main role in numerical approximation is played by algebraic and trigonometric (exponential) polynomials.…”

Section: Windowingmentioning

confidence: 99%

“…And, finally the AF g k (x) is presented in (10) and can be applied as a window, where F k (u) is expressed below 8,11 : …”

Section: Windowingmentioning

confidence: 99%

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Windowing technique in FM radar realized by FPGA for better target resolution

2006

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Remote sensing systems, such as SAR usually apply FM signals to resolve nearly placed targets (objects) and improve SNR. Main drawbacks in the pulse compression of FM radar signal that it can add the range side-lobes in reflectivity measurements. Using weighting window processing in time domain it is possible to decrease significantly the side-lobe level (SLL) of output radar signal that permits to resolve small or low power targets those are masked by powerful ones. There are usually used classical windows such as Hamming, Hanning, Blackman-Harris, KaiserBessel, Dolph-Chebyshev, Gauss, etc. in window processing. Additionally to classical ones in here we also use a novel class of windows based on atomic functions (AF) theory. For comparison of simulation and experimental results we applied the standard parameters, such as coefficient of amplification, maximum level of side-lobe, width of main lobe, etc.In this paper we also proposed to implement the compression-windowing model on a hardware level employing Field Programmable Gate Array (FPGA) that offers some benefits like instantaneous implementation, dynamic reconfiguration, design, and field programmability.It has been investigated the pulse compression design on FPGA applying classical and novel window technique to reduce the SLL in absence and presence of noise. The paper presents simulated and experimental examples of detection of small or nearly placed targets in the imaging radar Paper also presents the experimental hardware results of windowing in FM radar demonstrating resolution of the several targets for classical rectangular, Hamming, Kaiser-Bessel, and some novel ones: Up(x),

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