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首页> 外文会议>Information Sciences and Systems, 2009. CISS 2009 >Reducing computational complexity of time delay estimation method using frequency domain alignment
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Reducing computational complexity of time delay estimation method using frequency domain alignment

机译：利用频域对准降低时延估计方法的计算复杂度

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摘要

In this paper, we consider the estimation of time delays between multiple waveforms which are delayed forms of a single waveform. We use a previously defined cost function whose minimization is achieved through applying linear phase shift operators to the discrete Fourier transforms (DFTs) of the waveforms. The optimal phase shift operators result in the least differences between the phase shifted DFTs of the waveforms in the frequency domain. The time delays associated with the optimal phase shift operators become the optimal time delays between these waveforms. We demonstrate that the matrix form of the cost function is symmetric and has all zero diagonal entries. Therefore, by using these two features, we achieve a considerable reduction in the computational complexity of the optimization problem without losing accuracy. Performance investigation with six noisy speech waveforms shows that this procedure is very accurate and computationally efficient even under very noisy conditions.
机译：在本文中，我们考虑了多个波形之间的时间延迟的估计，这些波形是单个波形的延迟形式。我们使用先前定义的成本函数，该函数通过将线性相移算子应用于波形的离散傅立叶变换（DFT）来实现最小化。最佳相移算子在频域中导致波形的相移DFT之间的差异最小。与最佳相移算子相关的时间延迟成为这些波形之间的最佳时间延迟。我们证明成本函数的矩阵形式是对称的，并且所有对角线项均为零。因此，通过使用这两个功能，我们可以在不损失准确性的情况下大幅降低优化问题的计算复杂度。对六个嘈杂语音波形的性能研究表明，即使在非常嘈杂的条件下，此过程也非常准确且计算效率高。

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