The Synthesis Convolver

IF 1.5 Q3 ASTRONOMY & ASTROPHYSICS Journal of Astronomical Instrumentation Pub Date : 2023-07-26 DOI:10.1142/s225117172350006x
J. Bunton
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Abstract

A system, the synthesis convolver, is described that can process the output of an analysis filter bank and: • Reconstruct the analysis filter bank input signal, • Implement continuous convolution on the reconstructed signal, and • Resample the reconstructed signal to different sample rates. The synthesis convolver combines the capabilities of a synthesis filter bank and a continuous convolver. The synthesis convolver is based on earlier work but improves upon it, adding convolution and resampling. As well as reconstructing filterbank data, convolution allows dechirping of pulsar signals and resampling allows synthesized data to conform to the VLBI VDIF standard. The spectral overlap-add approach described, compared to earlier work, reduces errors and is more robust to channel gain errors. The system uses windows with smoothed or apodized edges, with the classical Tukey window being used previously. Here the Tukey window is generalized leading to a class of apodized windows. This class of windows is explored and one is found that is close to optimal in all conditions and can reduce errors by up to 40[Formula: see text]dB compared to an equivalent Tukey window. Achievable aliasing errors are lower than those of a standard polyphase synthesis filter bank. The synthesis convolver provides a high quality and versatile replacement for polyphase synthesis filter banks.
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合成卷积器
描述了一种系统,即合成卷积器,它可以处理分析滤波器组的输出,并:•重建分析滤波器组的输入信号,•对重建的信号进行连续卷积,以及•将重建的信号重新采样到不同的采样率。合成卷积器结合了合成滤波器组和连续卷积器的功能。合成卷积器是在早期工作的基础上改进的,增加了卷积和重采样。除了重建滤波器组数据外,卷积还可以对脉冲星信号进行解码,重新采样可以使合成数据符合VLBI VDIF标准。与先前的工作相比,所描述的频谱重叠添加方法减少了误差,并且对信道增益误差具有更强的鲁棒性。该系统使用平滑或apoapoed边缘的窗口,而传统的Tukey窗口被使用。在这里,Tukey窗被一般化,引申出一类离形窗。对这类窗口进行了探索,发现在所有条件下都接近最优,与等效的Tukey窗口相比,可以减少高达40 dB的误差。可实现的混叠误差低于标准多相合成滤波器组。合成卷积器为多相合成滤波器组提供了高质量和通用的替代品。
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来源期刊
Journal of Astronomical Instrumentation
Journal of Astronomical Instrumentation ASTRONOMY & ASTROPHYSICS-
CiteScore
2.30
自引率
7.70%
发文量
19
期刊介绍: The Journal of Astronomical Instrumentation (JAI) publishes papers describing instruments and components being proposed, developed, under construction and in use. JAI also publishes papers that describe facility operations, lessons learned in design, construction, and operation, algorithms and their implementations, and techniques, including calibration, that are fundamental elements of instrumentation. The journal focuses on astronomical instrumentation topics in all wavebands (Radio to Gamma-Ray) and includes the disciplines of Heliophysics, Space Weather, Lunar and Planetary Science, Exoplanet Exploration, and Astroparticle Observation (cosmic rays, cosmic neutrinos, etc.). Concepts, designs, components, algorithms, integrated systems, operations, data archiving techniques and lessons learned applicable but not limited to the following platforms are pertinent to this journal. Example topics are listed below each platform, and it is recognized that many of these topics are relevant to multiple platforms. Relevant platforms include: Ground-based observatories[...] Stratospheric aircraft[...] Balloons and suborbital rockets[...] Space-based observatories and systems[...] Landers and rovers, and other planetary-based instrument concepts[...]
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