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  • 标题:Downsampling Non-Uniformly Sampled Data
  • 本地全文:下载
  • 作者:Frida Eng ; Fredrik Gustafsson
  • 期刊名称:EURASIP Journal on Advances in Signal Processing
  • 印刷版ISSN:1687-6172
  • 电子版ISSN:1687-6180
  • 出版年度:2008
  • 卷号:2008
  • DOI:10.1155/2008/147407
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Decimating a uniformly sampled signal a factor D involves low-pass antialias filtering with normalized cutoff frequency 1 / D followed by picking out every D th sample. Alternatively, decimation can be done in the frequency domain using the fast Fourier transform (FFT) algorithm, after zero-padding the signal and truncating the FFT. We outline three approaches to decimate non-uniformly sampled signals, which are all based on interpolation. The interpolation is done in different domains, and the inter-sample behavior does not need to be known. The first one interpolates the signal to a uniformly sampling, after which standard decimation can be applied. The second one interpolates a continuous-time convolution integral, that implements the antialias filter, after which every D th sample can be picked out. The third frequency domain approach computes an approximate Fourier transform, after which truncation and IFFT give the desired result. Simulations indicate that the second approach is particularly useful. A thorough analysis is therefore performed for this case, using the assumption that the non-uniformly distributed sampling instants are generated by a stochastic process.

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