The figure below is a block diagram of a simple phase-shift single-sideband mod- ulator. In many communications applications single side band (SSB) modulation is preferred because the modulated signal can be transmitted with only half the bandwidth of the original double side-band (DSB) signal without losing any information. x[n] H90 (w) cos (won) [v[n] Hoo(w): -0.2π X sin(won) ↑X (w) A The LSI system labelled H90() is an ideal phase shifter. It has the response Heo (w) -j w<0 w>0 The spectrum of the input, the DTFT X(w) is as follows 0.2π r[n] + لها s[n] y[n] Given the spectrum of the input X(w) and a value of 0.5 for wo, sketch the following spectra: (a) V(w) the DTFT of v[n] (b) R(w) the DTFT of r[n] (c) S(w) the DTFT of s[n] (d) Y(w) the DTFT of y[n] Sketch the block diagram of a system that contains ideal multipliers, adders and ideal filters that can be used to recover the input function r[n] from y[n].

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The figure below is a block diagram of a simple phase-shift single-sideband mod-
ulator. In many communications applications single side band (SSB) modulation is preferred
because the modulated signal can be transmitted with only half the bandwidth of the original
double side-band (DSB) signal without losing any information.
x[n].
H90 (w)
cos(won)
]v[n]
H90 (w):
-0.2TT
X
sin(won)
-j w<0
w>0
The LSI system labelled H90 (w) is an ideal phase shifter. It has the response H90 (w)
&
The spectrum of the input, the DTFT X(w) is as follows
↑X (w)
A
r[n]
0.2T
+
s[n]
y[n]
Given the spectrum of the input X(w) and a value of 0.5% for wo, sketch the following spectra:
(a) V(w) the DTFT of v[n]
(b) R(w) the DTFT of r[n]
(c) S(w) the DTFT of s[n]
(d) Y(w) the DTFT of y[n]
Sketch the block diagram of a system that contains ideal multipliers, adders and ideal filters
that can be used to recover the input function a[n] from y[n].
Transcribed Image Text:The figure below is a block diagram of a simple phase-shift single-sideband mod- ulator. In many communications applications single side band (SSB) modulation is preferred because the modulated signal can be transmitted with only half the bandwidth of the original double side-band (DSB) signal without losing any information. x[n]. H90 (w) cos(won) ]v[n] H90 (w): -0.2TT X sin(won) -j w<0 w>0 The LSI system labelled H90 (w) is an ideal phase shifter. It has the response H90 (w) & The spectrum of the input, the DTFT X(w) is as follows ↑X (w) A r[n] 0.2T + s[n] y[n] Given the spectrum of the input X(w) and a value of 0.5% for wo, sketch the following spectra: (a) V(w) the DTFT of v[n] (b) R(w) the DTFT of r[n] (c) S(w) the DTFT of s[n] (d) Y(w) the DTFT of y[n] Sketch the block diagram of a system that contains ideal multipliers, adders and ideal filters that can be used to recover the input function a[n] from y[n].
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