Digital Signal Processing Reference
In-Depth Information
x
(
t
)=
u
(
t
)
x
[
k
]=
u
[
k
]
1
1
t
k
0
0
(a)
(b)
x
[
k
]= rect
()
k
x
(
t
)= rect
()
t
2
N
+
1
t
1
1
t
k
t
t
0
−
N
0
N
−
2
2
(c)
(d)
x
(
t
)= sgn(
t
)
x
[
k
]= sgn(
k
)
1
1
t
k
0
0
−1
−1
(e)
(f)
r
(
t
)=
tu
(
t
)
r
[
k
]=
ku
[
k
]
slope = 1
t
k
0
0
(g)
(h)
x
(
t
)=sin(
w
0
t
)
x
[
k
] =sin(
W
0
k
)
1
1
t
k
2
p
2
p
0
0
0
w
0
W
0
(i)
(j)
x
(
t
)=sinc(
w
0
t
)
1
x
[
k
] =sinc(
W
0
k
)
1
t
k
0
1
0
1
−
w
0
w
0
(k)
(l)
Fig. 1.12. CT and DT elementary functions. (a) CT and (b) DT unit step functions. (c) CT and (d) DT rectangular pulses. (e) CT and
(f) DT signum functions. (g) CT and (h) DT ramp functions. (i) CT and (j) DT sinusoidal functions. (k) CT and (l) DT sinc functions.
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