A novel window for harmonic analysis

Tseng, Fung-I; Sarkar, Tapan K.; Weiner, D.D.

doi:10.1109/tassp.1981.1163534

Cited by 29 publications

(4 citation statements)

References 3 publications

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“…It is possible to create a wide dip centred at a specified frequency without broadening the mainlobe [22]. However, the suppression of the near-sidelobes is obtained at the expense of a broadened mainlobe.…”

Section: Model Derivationmentioning

confidence: 99%

“…As mentioned in the Introduction, several methods for designing window functions with steerable sidelobes have been proposed. Steerable sidelobes were first proposed by Tseng et al [22,23], for which the IDFT is needed to evaluate the temporal weights. Zhong et al [24] evaluated explicit expressions of windows with steerable sidelobes using the sum of the cosine terms.…”

Section: Simulations and Experimentsmentioning

confidence: 99%

“…Due to the importance and significance of window functions, the literature on this topic is unsurprisingly extensive (e.g., see [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25] and the references therein). Traditional windows, including triangular, Hamming, Hanning, Blackman, and other well-known windows, aim at smoothing the truncated impulse response in the time domain, resulting in lower sidelobes at the expense of a wider mainlobe [1].…”

Section: Introductionmentioning

confidence: 99%

“…In [21], optimized trapezoid convolution windows are proposed, leading to a narrow main lobe width but retaining a low PSL as well as a fast SLFOR. In particular, Tseng provided a novel window function with steerable sidelobes with which a deep dip can be steered to any frequency, effectively improving the detectability of a small tone without degrading its resolvability [22,23]. Several windows combining steerable sidelobes and other properties were presented in [24,25].…”

Section: Introductionmentioning

confidence: 99%

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A Novel Method for Designing General Window Functions with Flexible Spectral Characteristics

Sun

Liu

Cai

et al. 2018

Sensors

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In the field of sensor signal processing, windows are time-/frequency-domain weighting functions that are widely applied to reduce the well-known Gibbs oscillations. Conventional methods generally control the spectral characteristics of windows by adjusting several of the parameters of closed-form expressions. Designers must make trade-offs among the mainlobe width (MW), the peak sidelobe level (PSL), and sometimes the sidelobe fall-off rate (SLFOR) of windows by carefully adjusting these parameters. Generally, not all sidelobes need to be suppressed in specified applications. In this paper, a novel method, i.e., the inverse of the shaped output using the cyclic algorithm (ISO-CA), for designing window functions with flexible spectral characteristics is proposed. Simulations are conducted to test the effectiveness, flexibility and versatility of the method. Some experiments based on real measured data are also presented to demonstrate the practicability. The results show that the window functions generated using the cyclic algorithm (CA) yield better performance overall than the windows of conventional methods, achieving a narrower MW, a lower PSL, and a controllable SLFOR. In addition, steerable sidelobes over specified regions can be acquired both easily and flexibly while maintaining the original properties of the initial window as much as possible.

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Section: Model Derivationmentioning

confidence: 99%

Section: Simulations and Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Novel Method for Designing General Window Functions with Flexible Spectral Characteristics

Sun

Liu

Cai

et al. 2018

Sensors

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A design technique for window functions

Tsuchiya¹

1999

Electron. Comm. Jpn. Pt. II

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This paper describes a novel and simple design technique for windows in the form of a weighted sum of cosine terms. First, it is made clear that not only does there not exist a basic difference between the Blackman–Harris windows and the Z‐window proposed by Zhong and colleagues, there is just a difference in mathematical expression, because the coefficients of both window families can be interconverted easily. Next, by focusing on the limitation of the duration time which is the essential property of windows, a novel and simple windows design technique based on the frequency domain sampling theorem is explained. Windows designed using most conventional design techniques have as a parameter the sample number N, because these conventional design techniques basically use the discrete Fourier transform (DFT). On the other hand, the design technique proposed in this paper can realize windows for an arbitrary purpose, which need not include N as a parameter. © 1999 Scripta Technica, Electron Comm Jpn Pt 2, 82(1): 43–48, 1999

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Biometry of retina choroid layer

Cennamo

Daponte

1990

Documenta Ophthalmologica Proceedings Series

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A novel window for harmonic analysis

Cited by 29 publications

References 3 publications

A Novel Method for Designing General Window Functions with Flexible Spectral Characteristics

A Novel Method for Designing General Window Functions with Flexible Spectral Characteristics

A design technique for window functions

Biometry of retina choroid layer

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