November 9, 2015
1
Problem 3.25
Let A be the peak to peak value of the signal. The peak error is 0.5% and the
peak to peak error is 0.005 A. The required level of quanitization is then find
as follows:
A
= 200 2n = q
0.005 A
So we find that q = 256 and n

Problem 7.6
a- The time average mean is zero. The statistical average mean is
11'
E[X(t:] = [Lilacs (Ef0t+)$ = $sin2rf0t+
E [sin (Baht + 9? sin cfw_Zfgt + air/'2
:rr
2 E [ sin (Efu 005 (Eftj'l
H
= J [sin (rfut + KPH]
12
The time average mrianee is 112,1

Problem 2.9
a. Power. Since it is a periodic signal, we obtain
Th Th
P1=i 40:32[4't+21rf3dt=i 2[1+m[3m+4w;3]e=2w
TD i] Tu D
where Ta. = lf s is the period. The cosine in the above integral integrat to zero because
the interval of integratation is two peri

Problem 2.40
a- 'W'rite
oos [Ellist + 3 sin cfw_QUITE 2 Ross cfw_Elnt H
= R cos 3 cos cfw_Elmt + R sin 3 sin cfw_20st
Thus
Boos 3 = Enos [201d]
Rsin = 3sin [Bill'st
Square both equations? add? and take the square root to obtain
R: u+32 = v4 =6_TI'.32
Divi

Problem 4.6
From the problem statement
arc cfw_t 2 Ac cos [211 [40 t + lsin cfw_2r [5 ]
Since f3 = 4!] and fm = 5 cfw_it is important to note that In is an integer multiple of n)
there is considerable overlap of the portion of the spectrum centered about

1. (20 points) Multiple Choice Choose the answer which best completes the sentence
1.1 [5 points] The Fourier Transform of a periodic time-domain signal is
(a) periodic in the frequency domain
(b) discrete in the frequency domain
(c) continuous in the fre

Problem 5.1
a. Split phase or bipolar RE;
I). NRZ ehange or NRZ mark;
o. Split phase;
dWSPl ihfhmge
e. Polar RE;
f. Unipolar RE.
Problem 5.5
This is a matter of adapting Figure 5.2. third - fth plots, to the data sequence given in
the problem statement.
P

Problem 2.74
The Hilbert transform of the given signal is
EE = 2 sin (fr
The signal 3, cfw_t is
w;- (t) = w cfw_t + it
Zens [:52m5 + j? sin cfw_527:1
263-51511
a- We have, for ]. = 25 Hz,
:5 (t) = my [g = seimeim = 261% = Enos [2111 + jsin [2m
:53 [t] = 2