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Show that the spectrogram Psp (t, w) is related to the Wigner distributions of signal s(t) SP and window h(t) as +00 +00 [[

Show that the spectrogram Psp (t, w) is related to the Wigner distributions of signal s(t) SP and window h(t)

Show that the spectrogram Psp (t, w) is related to the Wigner distributions of signal s(t) SP and window h(t) as +00 +00 [[ W(t, w)W(t-t, w-w)at dw. Please answer in detailed step by step derivation. -00-00 Psp (t, w) = 1 2 Show that the spectrogram Psp(t, w) is related to the Wigner distributions of signal s(t) and window h(t) as Psp(t,w) = +00+00 = J [W 2T W.(t.w')W(t-t. w-w')dt'dw'.

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