2) The baseband information signal x(t) whose frequency spectrum is shown in Fig. 2 will be transmitted by using wideband FM modulation obtained by indirect FM (Armstrong method) technique (max |x(t) = 1) shown in Fig. 3. The narrowband FM signal is given by xc1 (t) = Ac cos(2n 10^t + 2n30 f x(r)dt) where it is the input to the wideband FM modulator. The wideband FM signal is given by 3 X5 0 Fig. 2 3 Xcz (t) = Ac cos(2π5 x 106t + 276 x 10³ f x(1)dt). a) Find the modulation index (B) of narrowband FM (xc₁ (t)) and wideband FM signal (xc2(t)). Justify the types of xc1 (t) and xcz (t) by considering the corresponding B. b) Determine fo, mi,n2 and properties of the BPF. c) Find the bandwidth of xc1 (t) and xcz (t). om f (kHz) d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram. e) Suppose that the signal xc2 (t) sent from the transmitter is received as r(t) = A(t) cos(2n2 x 10°t + 2n6 x 10³ fx(7)dt) at the receiver due to a distortion in the transmission medium. What can be done to eliminate this distortion effect?

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and
xc(t)
2) The baseband information signal x(t) whose frequency spectrum
is shown in Fig. 2 will be transmitted by using wideband FM
modulation obtained by indirect FM (Armstrong method)
technique (max |x(t)] = 1) shown in Fig. 3. The narrowband FM
signal is given by x1 (t) = Ac cos(2n10t + 2n30 fx (T)dt) where
it is the input to the wideband FM modulator. The wideband FM
signal is given by
0%
(z(t)
cos(2nfet+)
S\ (XS)
$1(Sa
h(t)
H(f)
Xcz (t) = Accos(2n5 x 10°t + 2n6 × 10³ fx(7)dt).
a) Find the modulation index (B) of narrowband FM (xc1 (t)) and wideband FM signal (xc2(t)).
Justify the types of xc1 (t) and xcz (t) by considering the corresponding B.
b) Determine fo, m,n2 and properties of the BPF.
c) Find the bandwidth of xc1 (t) and xcz(t).
d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram.
e) Suppose that the signal xc2 (t) sent from the transmitter is received as
(17
r(t) = A(t) cos(2π2 x 10°t + 276 x 10³ fx(T)dt) at the receiver due to a distortion in the transmission
/medium. What can be done to eliminate this distortion effect?
Fig. 1% mla
E 80 AE
y(t)
x(t)
Narrowband
FM Modulator
cos(2nfot)
101gol 01 = no¶
Xc₁(t) Frequency
Multiplier1
n₁
X()
Frequency
Multiplier2
n₂
0
Fig. 2
3
f (kHz)
BPF
?
Xcz(t)
nia=(x)omia (\)(\)
(1)(\) (11)
Fig. 3 (+ x) p(-x) 200-(x)
Transcribed Image Text:and xc(t) 2) The baseband information signal x(t) whose frequency spectrum is shown in Fig. 2 will be transmitted by using wideband FM modulation obtained by indirect FM (Armstrong method) technique (max |x(t)] = 1) shown in Fig. 3. The narrowband FM signal is given by x1 (t) = Ac cos(2n10t + 2n30 fx (T)dt) where it is the input to the wideband FM modulator. The wideband FM signal is given by 0% (z(t) cos(2nfet+) S\ (XS) $1(Sa h(t) H(f) Xcz (t) = Accos(2n5 x 10°t + 2n6 × 10³ fx(7)dt). a) Find the modulation index (B) of narrowband FM (xc1 (t)) and wideband FM signal (xc2(t)). Justify the types of xc1 (t) and xcz (t) by considering the corresponding B. b) Determine fo, m,n2 and properties of the BPF. c) Find the bandwidth of xc1 (t) and xcz(t). d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram. e) Suppose that the signal xc2 (t) sent from the transmitter is received as (17 r(t) = A(t) cos(2π2 x 10°t + 276 x 10³ fx(T)dt) at the receiver due to a distortion in the transmission /medium. What can be done to eliminate this distortion effect? Fig. 1% mla E 80 AE y(t) x(t) Narrowband FM Modulator cos(2nfot) 101gol 01 = no¶ Xc₁(t) Frequency Multiplier1 n₁ X() Frequency Multiplier2 n₂ 0 Fig. 2 3 f (kHz) BPF ? Xcz(t) nia=(x)omia (\)(\) (1)(\) (11) Fig. 3 (+ x) p(-x) 200-(x)
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