Question

Consider the DSB-SC modem with no channel impairment shown in Figure Suppose that the message is band-limited to $B = 500$ Hz and that $f_c = 2,000$ Hz. $m(t)$ $x(t)$ $v(t)$ $\times$ $\times$ LPF $\rightarrow \tilde{m}(t)$ Message (modulating signal) $A_1 \cos(2\pi f_c t)$ $A_2 \cos(2\pi f_c t)$ Modulator Demodulator Let $A_1 = 2$ and $A_2 = 3$. a. Suppose the frequency response of the LPF is $H_L(f) = \begin{cases} g, & |f| \le B \\ 0, & \text{otherwise} \end{cases}$ Find the value of $g$ that makes $\tilde{m}(t) = m(t)$. b. Suppose the impulse response of the LPF is $h_L(t) = a \text{sinc}(2016\pi t)$. Find the value of $a$ so that $\tilde{m}(t) = m(t)$.

          Consider the DSB-SC modem with no channel impairment shown in Figure
Suppose that the message is band-limited to $B = 500$ Hz and that $f_c = 2,000$ Hz.
$m(t)$ 
$x(t)$ 
$v(t)$ 
$\times$
$\times$
LPF
$\rightarrow \tilde{m}(t)$
Message
(modulating signal)
$A_1 \cos(2\pi f_c t)$
$A_2 \cos(2\pi f_c t)$
Modulator
Demodulator
Let $A_1 = 2$ and $A_2 = 3$.
a.
Suppose the frequency response of the LPF is
$H_L(f) = \begin{cases} g, & |f| \le B \\ 0, & \text{otherwise} \end{cases}$
Find the value of $g$ that makes $\tilde{m}(t) = m(t)$.
b.
Suppose the impulse response of the LPF is $h_L(t) = a \text{sinc}(2016\pi t)$.
Find the value of $a$ so that $\tilde{m}(t) = m(t)$.

Consider the DSB-SC modem with no channel impairment shown in Figure
Suppose that the message is band-limited to B = 500 Hz and that fc = 2,000 Hz.
m(t)
x(t)
v(t)
×
×
LPF
→m̃(t)
Message
(modulating signal)
A1 cos(2π fc t)
A2 cos(2π fc t)
Modulator
Demodulator
Let A1 = 2 and A2 = 3.
a.
Suppose the frequency response of the LPF is
HL(f) = g, |f| ≤ B
0, otherwise
Find the value of g that makes m̃(t) = m(t).
b.
Suppose the impulse response of the LPF is hL(t) = a sinc(2016π t).
Find the value of a so that m̃(t) = m(t).

Added by Eric H.

Question

Please give Ace some feedback