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频带有限信号非一致采样重建的谱方法
On the band-divided approach of reconstruction for bandlimited signals from their nonuniform samples
【摘要】 本文研究带限信号的非一致采样重建问题。我们利用信号频带分割方法,导出带限信号周期非一致采样情 况下的具体重建公式,并由此给出带限信号有限采样在区间上的插值公式并对它进行了数值实验。最后利用频谱分割方法, 讨论了多带限信号一些采样策略。
【Abstract】 This paper concerns with the reconstructions for one-dimensional bandlimited signals from their nonuniform samples. We give the precise reconstruction formulas of a bandlimited signal from its recurrent samples, by dividing the band of a limitedband signal into equally-spaced sections. In term of the result, we derive interpolation formulas for a bandlimited signal from finite nonuniform samples on an interval. The sampling strategies of multiband signals are discussed by the approach used in the paper finally.
【关键词】 非一致采样;
插值;
采样;
多带信号;
重建;
【Key words】 bandlimited signal; nonuniform sampling; interpolation; sampling; multiband signal; reconstruction;
【Key words】 bandlimited signal; nonuniform sampling; interpolation; sampling; multiband signal; reconstruction;
【基金】 本文受国家自然科学基金资助(项目号10171087)
- 【文献出处】 信号处理 ,Signal Processing , 编辑部邮箱 ,2005年06期
- 【分类号】TN911
- 【下载频次】144