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    • 2. 发明申请
    • SYSTEM, METHOD, APPARATUS, AND COMPUTER PROGRAM PRODUCT FOR CALCULATING A SAMPLED SIGNAL
    • 用于计算采样信号的系统,方法,装置和计算机程序产品
    • WO2013056375A1
    • 2013-04-25
    • PCT/CA2012/050744
    • 2012-10-18
    • GRISHIN, AlexeyZHIRKOV, AlexanderORAEVSKY, Alexey
    • GRISHIN, AlexeyZHIRKOV, AlexanderORAEVSKY, Alexey
    • G06F17/10G06F17/14H04W88/02
    • G06F17/142G06F17/10H03H17/0213H03H17/0282H03H17/0642H03H2017/0298
    • A method, apparatus, and computer program product for calculating a sampled signal are disclosed. A method in accordance with the disclosure may include determining discrete samples of a continuous signal having a finite spectrum and using a function series expansion to calculate at least a portion of the continuous signal over the discrete samples. In accordance with some embodiments, an original signal may be calculated over discrete samples with arbitrary accuracy. Polyphase filtering is not used in some embodiments. Some embodiments can be used for arbitrary, including irrational, variation of the sampling rate of the signal with a bounded spectrum. Some embodiments provide for much faster calculation than direct application of the Kotelnikov (Nyquist-Shannon) theorem. In some embodiments, the calculation may be performed according to the disclosed theorem but, instead of discrete signal convolutions with kernels having different phases, a function series expansion may be used.
    • 公开了一种用于计算采样信号的方法,装置和计算机程序产品。 根据本公开的方法可以包括确定具有有限频谱的连续信号的离散样本,并且使用函数序列展开来计算离散样本上的连续信号的至少一部分。 根据一些实施例,可以以任意精度对离散样本计算原始信号。 在一些实施例中不使用多相滤波。 一些实施例可以用于任意的,包括不合理的,具有有界光谱的信号的采样率的变化。 一些实施例提供比直接应用Kotelnikov(奈奎斯特 - 香农)定理更快的计算。 在一些实施例中,可以根据所公开的定理来执行计算,但是可以使用功能系列扩展来代替具有不同相位的内核的离散信号卷积。