Question

(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it the same as the real part of X(jw)? iii. Calculate the Fourier tran sfom of the odd part of (t) (e) Find the Fourier transform of()t(sin)2. Use Parseval's relation to determine the numerical value of A Jidt

Answer 1

r) X()ea)ut neither ever nor odd b Symnetry propert tis sa ut neftber eveo us Lu AD L19 119

x(-Jus) ever erl

め /us t us) 드 udl 11n. uo tH us aluo со su% 。

the sues 1i Tee 4 ル -Juslレ juo ( crouth. "U cot ush )--( C.os ush--smuy 드

la a( 1 1,17% Ciut) Jus づu) 3u9 Leg Not nat Same iri) Tber e no odd Part rs 『r)

siol by dualty pe hi (부) rs (uo

stn a t