2. A sequence x[n] has DTFT given over (-T, T] by 1, 0

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2. A sequence x[n] has DTFT given over (-n,T] by
1, 0<w<TI;
x(el®) = {-1, -T<w< 0
What kind of symmetry properties does x[n] have?
(ii) Determine x[n], distinguishing even and odd values of n in your answer.
(iii) If
Y(ej") = Isin w|
for all w, express y[n] in terms of x[n].
Transcribed Image Text:2. A sequence x[n] has DTFT given over (-n,T] by 1, 0<w<TI; x(el®) = {-1, -T<w< 0 What kind of symmetry properties does x[n] have? (ii) Determine x[n], distinguishing even and odd values of n in your answer. (iii) If Y(ej") = Isin w| for all w, express y[n] in terms of x[n].
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