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首页> 外文期刊>IEEE Transactions on Information Theory >The wide-band ambiguity function and Altes' Q-distribution: constrained synthesis and time-scale filtering
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The wide-band ambiguity function and Altes' Q-distribution: constrained synthesis and time-scale filtering

机译：宽带歧义函数和Altes的Q分布：约束合成和时标滤波

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摘要

Two problems of interest in wideband signal processing are addressed. The first problem concerns the synthesis of wideband radar/sonar signal waveforms given the desired shape (as a function of time delay and time scale) of the cross correlator (matched filter) output; this function is termed the wideband ambiguity function (WBAF). Constraints on the transmitted waveforms that are manifest as closed convex subsets in the delay-scale space can also be incorporated into the synthesis procedure. The alternating convex projection theorem is used to generate a (weakly) convergent iterative algorithm for waveform synthesis. The second problem addressed concerns the closely related problem of signal recovery from R.A. Altes' (IEEE Trans. Acoust., Speech, Signal Proc., vol.38, no.6, p.1005-12, June 1990) Q-distribution and modified versions thereof. The Q-distribution is intimately related to the WBAF via a unitary transformation. Admissible modifications include affine convolutions and other operators with closed convex range. The application in terms of filtering in a time-scale domain is considered.
机译：解决了宽带信号处理中感兴趣的两个问题。第一个问题涉及给定互相关器（匹配滤波器）输出的所需形状（作为时间延迟和时间标度的函数）的宽带雷达/声纳信号波形的合成；该功能称为宽带模糊度功能（WBAF）。在延迟尺度空间中表现为闭合凸子集的传输波形上的约束也可以合并到合成过程中。交替凸投影定理用于生成波形合成的（弱）收敛迭代算法。解决的第二个问题与从R.A.恢复信号密切相关。 Altes（IEEE Trans.Acoust。，语音，信号处理，第38卷，第6期，第1005-12页，1990年6月）Q-分布及其修改版本。通过单一变换，Q分布与WBAF密切相关。允许的修改包括仿射卷积和其他具有封闭凸范围的算子。考虑在时标域中进行过滤方面的应用。

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