Question

kk

求高手幫忙

1(35%) Determine the Fourier series representation of the periodic signal x(t) shown in Fig. 1. Plot
its frequency spectrum Ck/ versus frequency 0, 020, where Ck is the Fourier series coefficient.
xt
(0) 20
-6
-4
-2
0 2
士
4
16
10
十-20
Fig. 1

2(25%) Determine the Fourier series representation of the periodic signal x(t) shown in Fig. 2. Plot
its frequency spectrum C versus frequency 0,0 20, where C is the Fourier series coefficient.
4X(t)
H-
0.4
N
A
.
3
6
9
Fig. 2

Fig. 2
3(40%) Prove the following f(t) 4F(@) which indicates that F(w) is the Fourier transform of f(t),
and f(t) is the inverse Fourier transform of F(@). (a) 3 47618(m) (b) since“) +
H2trect(o) (c)
98(t-4) 49ej (d) 6ej 100 + 1218(0-100).