A discrete model for the efficient analysis of time-varying narrowband communication channels

A discrete model for the efficient analysis of time-varying narrowband communication channels
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用于有效分析时变窄带通信信道的离散模型

DOI:
10.1007/s11045-007-0032-1
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发表时间:
2007
影响因子:
2.5
通讯作者:
Götz Pfander
Götz Pfander
中科院分区:
工程技术4区
文献类型:
--
作者:
Niklas Grip;Götz Pfander

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我们推导了一种有效的数值算法,用于分析某些类别的希尔伯特-施密特算子,这些算子自然出现在无线无线电和声纳通信信道模型中。我们证明了许多窄带有限寿命系统,如无线无线电通信,可以很好地用平滑和紧支持的扩展函数来建模。此外,我们利用这一事实推导出一种快速算法,用于计算这些算子相对于时频局部化Gabor基(如脉冲型OFDM基)的矩阵表示。因此,我们对信道使用最小的近似、简化和假设。此外,我们使用多变量设置来允许应用程序,例如天线阵列。例如,所导出的算法和软件可用于比较不同的系统设置和脉冲形状如何影响作用于给定信道的OFDM系统的对角化特性。
We derive an efficient numerical algorithm for the analysis of certain classes of Hilbert–Schmidt operators that naturally occur in models of wireless radio and sonar communications channels. We show that many narrowband finite lifelength systems such as wireless radio communications can be well modelled by smooth and compactly supported spreading functions. Further, we exploit this fact to derive a fast algorithm for computing the matrix representation of such operators with respect to well time-frequency localized Gabor bases (such as pulseshaped OFDM bases). Hereby we use a minimum of approximations, simplifications, and assumptions on the channel. Moreover, we use a multivariate setting to allow for applications to, for example, antenna arrays. The derived algorithm and software can be used, for example, for comparing how different system settings and pulse shapes affect the diagonalization properties of an OFDM system acting on a given channel.
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