An analogue, non-periodic signal f is given by Set, t<0 f(t)=1-t, 0, 01 (a) write your answer in the format Find the Fourier transform f(a) of f. In addition, (b) f(a)= a(a)+jb(a), where a (a) and b(a) are real (not complex). Is the signal band-limited? Justify. (c) Explain in words the relationship between the signal f given above and the signal 9 given below 3(t-1) e t<1 g(t)=1-3(t-1), 1

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An analogue, non-periodic signal f is given by
(et, t<0
0<t<1
t>1
Let,
f(t)=1-t,
0,
(a)
write your answer in the format
Find the Fourier transform f(a) of f. In addition,
f(a)= a(a)+jb(a),
where a (a) and b(a) are real (not complex).
(b)
Is the signal band-limited? Justify.
(c)
Explain in words the relationship between the
signal f given above and the signal 9 given below
(e3(t-1)
g(t)=1-3(t-1),
0,
t<1
1<t<4/3
t> 4/3.
(d)
g(a), without computing it from definition.
Use your answer to parts (a) and (c) to obtain
Transcribed Image Text:An analogue, non-periodic signal f is given by (et, t<0 0<t<1 t>1 Let, f(t)=1-t, 0, (a) write your answer in the format Find the Fourier transform f(a) of f. In addition, f(a)= a(a)+jb(a), where a (a) and b(a) are real (not complex). (b) Is the signal band-limited? Justify. (c) Explain in words the relationship between the signal f given above and the signal 9 given below (e3(t-1) g(t)=1-3(t-1), 0, t<1 1<t<4/3 t> 4/3. (d) g(a), without computing it from definition. Use your answer to parts (a) and (c) to obtain
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