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| Notes on power spectrum density and wind-velocity PSD |
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| DOI：10.7511/jslx20084091 |
| KeyWord:stochastic process,one-sided PSD,wind-velocity PSD,Winner-Khintchine formula,PSD estimation |
| ZHANG Wen-fu MA Chang-heng |
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| Abstract: |
| The reason that minus frequency appears in two-sided power spectrum density(PSD) of stochastic process is discussed.The actual frequency spectrum function should contains sum of minus and corresponding plus frequency component as well as the direct current part keeps invariable,and this is the underling meaning of one-sided PSD.Both one-sided PSD formula and its relation with two-sided PSD given by the standard references are improved.Based upon the work above,the modification to the transformation of Winner-Khinchine formula is presented. Furthermore,the differences between modified and former formulae are pointed out for application in different wind-velocity PSD,and numerical results prove that the modified Winner-Khinchine formulae presented by the paper are correct. |
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