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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing >Band-Limited Signal Reconstruction From Irregular Samples With Variable Apertures
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Band-Limited Signal Reconstruction From Irregular Samples With Variable Apertures

机译：具有可变孔径的不规则样本的带限信号重建

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摘要

Sampling plays a critical role in remote sensing and signal analysis. In conventional sampling theory, the signal is sampled at a uniform rate at a minimum of twice the signal bandwidth. Sampling with an aperture function requires a fixed-aperture function, which can be removed by deconvolution after signal reconstruction. However, in some cases, the signal samples are available only at irregular positions, and different samples use different aperture functions. In this paper, the theory of finite-length signal reconstruction with irregular samples and variable apertures in one and two dimensions is considered. In the 1-D case, a band-limited discrete signal can be exactly reconstructed from a finite number of arbitrarily spaced samples with few restrictions on the aperture functions. Exact reconstruction in the 2-D case requires the sampling matrix be invertable, and is not always possible. Variable aperture functions, while complicating the process, can enable reconstruction for a broader range of sample locations. Practical issues are discussed, and numerical examples are provided. Variable aperture reconstruction has application in a variety of remote sensing problems. In this paper, reconstruction from 2-D irregular sampling with variable apertures is illustrated using Special Sensor Microwave/Imager radiometer observations.
机译：采样在遥感和信号分析中起着至关重要的作用。在常规采样理论中，以均匀速率对信号进行采样，采样率至少是信号带宽的两倍。具有光圈功能的采样需要固定光圈功能，可以在信号重建后通过解卷积将其删除。但是，在某些情况下，信号样本仅在不规则位置可用，并且不同的样本使用不同的光圈函数。本文考虑了一维和二维不规则样本和可变孔径的有限长度信号重构理论。在一维情况下，可以从有限数量的任意间隔采样中精确重建带限离散信号，而对孔径函数的限制很少。在2D情况下进行精确重构需要采样矩阵可逆，并且并非总是可能的。可变孔径功能虽然使过程复杂化，但可以实现更广泛范围的样本位置的重建。讨论了实际问题，并提供了数值示例。可变孔径重建技术已应用于各种遥感问题。在本文中，使用特殊传感器微波/成像仪辐射计观察到了从具有可变孔径的二维不规则采样中重建的过程。

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