... reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution ... reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution ... reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution...
... used, the
reagent on which the conversion is based must be speci ed.
Conversion is defined by the following expression:
Conversion D
amount of reagent consumed
amount supplied
D
(amount in feed ... equations could then be solved sequentially, as shown in Figure 1.14,
to produce a calculated value for x
6
, which could be compared with the assumed value
and the procedure repeated until a satisfactory ... or
volume, needs to be stated.
ppm D
quantity of component
total quantity
ð 10
6
Note. 1 ppm D 10
4
per cent.
Minute quantities are sometimes quoted in ppb, parts per billion. Care is needed here,
as...
... j
−
1
4πt
sin πt +
1
4π
2
t
2
(cos πt − 1)
38
SOLUTIONS MANUAL
Communication Systems Engineering
Second Edition
John G. Proakis
Masoud Salehi
Prepared by Evangelos Zervas
Upper Saddle River, New ... original spectrum
has been shifted by f
=
1
2T
s
. In order to bring the spectrum back to the origin and reconstruct
x(t) the sampled signal x
1
(t) has to be multiplied by e
−j2π
1
2T
s
t
= e
−j2πWt
. ... W
2W
)X
1
(f)
Problem 2.39
1) The linear interpolation system can be viewed as a linear filter where the sampled signal
x(t)
∞
n=−∞
δ(t − nT
s
) is passed through the filter with impulse response
h(t)=
1+
t
T
s
−T
s
≤...
... write
∞
n=−∞
|x
n
|
2
=
−M
n=−∞
|x
n
|
2
+
M
n=−M
|x
n
|
2
+
∞
n=M
|x
n
|
2
7
SOLUTIONS MANUAL
Communication Systems Engineering
Second Edition
John G. Proakis
Masoud Salehi
Prepared by Evangelos Zervas
Upper Saddle River, New ... of the PM and FM modulated signals is plotted in the next figure for
positive frequencies. Only those frequency components lying in the previous derived bandwidth
are plotted. Note that doubling ... value of φ(t) is achieved for t = 2 and is equal to 3πk
f
. Thus, the desired relation
between k
p
and k
f
is
k
p
=3πk
f
2) The instantaneous frequency for the PM modulated signal is
f
i
(t)=f
c
+
1
2π
d
dt
φ(t)=f
c
+
1
2π
k
p
d
dt
m(t)
For...