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Gabor transform of time-varying systems: exact representation andapproximation

机译：时变系统的Gabor变换：精确表示和近似

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Approximate modeling of discrete-time linear time-varying systems is studied based on a representation of linear systems in the Gabor time-frequency space. The time-varying system is assumed to be given in input-output or kernel representation. This representation has previously received attention because of its applicability in frozen-time analysis and design of optimal control for time-varying systems but requires a large number of coefficients. Motivated by its application to signal analysis, the Gabor transform is considered as a tool for the representation and approximation of linear time-variant systems. In order to show the main results, the class of systems considered is restricted to the one usually considered in the frozen-time approach. An example is included to illustrate the potential application of the technique
机译：基于Gabor时频空间中线性系统的表示，研究了离散时间线性时变系统的近似建模。假设时变系统以输入输出或内核表示形式给出。由于该表示法在冻结时间分析和时变系统的最优控制设计中的适用性，因此以前受到了关注，但是需要大量系数。由于其在信号分析中的应用，Gabor变换被认为是用于表示和近似线性时变系统的工具。为了显示主要结果，考虑的系统类别仅限于冻结时间方法中通常考虑的系统。包含一个示例以说明该技术的潜在应用

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