Design of windows with steerable sidelobe dips

Zhong, Jicun; Han, Zhijiang; Lü, Wei

doi:10.1109/78.139233

Cited by 15 publications

(14 citation statements)

References 6 publications

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“…The PSW given in Equation (18) and its PSD function given in Equation (20) can be obtained by following exactly the same procedure as explained in deriving Equations (15) and (17). For easy reference, the step-by-step procedure to design PSW's using the SSR approach is summarised as follows.…”

Section: Steepest Sidelobe Roll-off (Ssr) Methodsmentioning

confidence: 99%

Synthesisation of pulse shaping waveforms for spectral efficient digital modulations: some practical approaches

Chen

Cai

Chao

et al. 2005

Trans Emerging Tel Tech

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SUMMARYBandwidth efficiency of all digital modulations is associated closely with baseband pulse shaping waveforms (PSW's) before carrier modulation. Traditional PSW designing approaches usually work in a way such that the design of PSW's in the time domain hardly reveals a direct connection with their spectral characteristics. In other words, designing process of the PSW's offers too little degree-of-freedom to control spectral properties of the resultant signals. This paper will present a methodology, based on which several new PSW synthesising approaches, including time-domain convolution (TDC), steepest sidelobe roll-off (SSR) and zero-point insertion (ZPI) methods, will be proposed to design different PSW's with controllable spectral characteristics, such as sidelobe roll-off rate, main lobe width and null positions in their power spectral density functions. In particular, the SSR and ZPI methods are based on a truncated cosine function series, which can be further generalised to use other seed functions. The results show that the approaches can help us to generate a PSW database containing a wide collection of promising PSW's to suit for diverse wireless applications, such as traditional digital modems as well as emerging ultra-wideband systems.

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Section: Steepest Sidelobe Roll-off (Ssr) Methodsmentioning

confidence: 99%

Synthesisation of pulse shaping waveforms for spectral efficient digital modulations: some practical approaches

Chen

Cai

Chao

et al. 2005

Trans Emerging Tel Tech

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“…They explained that the Z-window has the merits of both the BlackmanHarris windows and the Tseng windows because the Z-window can be expressed by a simple formula, and can create dips in the side-lobe characteristics [7].…”

Section: Preliminariesmentioning

confidence: 99%

“…Zhong and colleagues proposed a windows family called the Z-window in the form of a sum of cosine terms, and demonstrated that the SLFOR is essentially 6 dB/octave [7]. This paper will show that the coefficients of the Z-window family and conventional windows in the form of a sum of cosine terms are converted easily.…”

Section: Introductionmentioning

confidence: 95%

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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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“…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%

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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Design of windows with steerable sidelobe dips

Cited by 15 publications

References 6 publications

Synthesisation of pulse shaping waveforms for spectral efficient digital modulations: some practical approaches

Synthesisation of pulse shaping waveforms for spectral efficient digital modulations: some practical approaches

A design technique for window functions

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

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