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\end{align}</math>
where <math>M_{t}(\omega)</math> is the magnitude, and <math>\phi_{\tau}(\omega)</math> the phase, of <math>X_{t}(\omega)</math>, the Fourier transform of the signal <math>x(t)</math> shifted in time by <math>t</math> and windowed by <math>h(t)</math>.<ref name=Fitz09>{{citation |last1=Fitz |first1=Kelly R. |last2=Fulop |first2=Sean A. |title=A Unified Theory of Time-Frequency Reassignment |date=2009 |doi=10.48550/arXiv.0903.3080}} – this preprint manuscript is written by a previous contributor to this Wikipedia article; see [[Special:Diff/239438445|their contribution]].</ref>{{rp|4}}
<math>x(t)</math> can be reconstructed from the moving window coefficients by<ref name=Fitz09/>{{rp|8}}
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