Time Domain Representation of Continuous and Discrete Signals 13
R.1.28 The more general analog ramp function r(t) = t u(t) (with time and amplitude scaled)
is defi ned by
Ar t t
At t t
tt
()
(^0)
0
(^00)
for
for
where A represents the ramp’s slope and t 0 is the time shift with respect to the
origin.
R.1.29 The discrete ramp sequence denoted by r(n − m) u(n − m) is defi ned analytically
by
rn mun m
nnm
nm
()()
for
0 for
− 6 − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 6
0
0.5
1
1.5
2
n
Amplitude
pul(n/11)
FIGURE 1.15
Plot of the function pul(n/11).
r(t)
t
1
1
0
FIGURE 1.16
Plot of the analog unit ramp function r(t) = t u(t).