PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

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).