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Analysis and design of multirate synchronous sampling schemes for sparse multiband signals

机译:稀疏多频带信号的多速率同步采样方案的分析和设计

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We consider the problem of developing efficient sampling schemes for multiband sparse signals. Previous results on multicoset sampling implementations that lead to universal sampling patterns (which guarantee perfect reconstruction), are based on a set of appropriate interleaved analog to digital converters, all of them operating at the same sampling frequency. In this paper we propose an alternative multirate synchronous implementation of multicoset codes, that is, all the analog to digital converters in the sampling scheme operate at different sampling frequencies, without need of introducing any delay. The interleaving is achieved through the usage of different rates, whose sum is significantly lower than the Nyquist rate of the multiband signal. To obtain universal patterns the sampling matrix is formulated and analyzed. Appropriate choices of the parameters, that is the block length and the sampling rates, are also proposed.
机译:我们考虑为多频带稀疏信号开发有效采样方案的问题。先前关于多陪集采样实现的结果导致了通用采样模式(保证了完美的重构),是基于一组适当的交错模数转换器的,它们都以相同的采样频率工作。在本文中,我们提出了多陪集码的另一种多速率同步实现方式,即采样方案中的所有模数转换器均以不同的采样频率工作,而无需引入任何延迟。交织是通过使用不同的速率来实现的,这些速率之和明显低于多频带信号的奈奎斯特速率。为了获得通用模式,对采样矩阵进行了公式化和分析。还提出了参数的适当选择,即块长度和采样率。

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