Question

3. Consider pulse code modulation (PCM) system given below. The input signal x(t) is sampled using flat-top sampling (PAM) technique and the sampled signal is applied to the quantizer. The output signal of the quantizer enters the encoder which produces coded bits. Then, the pulse generator converts the coded bits into sequence of pulses. $x(t)$ $\times$ $x_s(t)$ $s(t) = \sum_{k=-\infty}^{\infty} \delta(t - kT), T = \frac{1}{12f_0}, \tau = \frac{T}{2}$ $x_q(t)$ $-1 \to 00$ $x_c(t)$ $-0.5 \to 01$ $0.5 \to 10$ $1 \to 11$ $x_{PCM}(t)$ Pulse Generator Encoder Quantizer a) If the input signal is $x(t) = \cos 2\pi f_0 t$, plot the signals $x_s(t)$ and $x_q(t)$. b) If 0 and 1 are converted into rectangular pulses with amplitudes -5V, and +5V, respectively, plot the signal $x_{PCM}(t)$.

          3. Consider pulse code modulation (PCM) system given below. The input signal x(t) is
sampled using flat-top sampling (PAM) technique and the sampled signal is applied to the
quantizer. The output signal of the quantizer enters the encoder which produces coded bits.
Then, the pulse generator converts the coded bits into sequence of pulses.
$x(t)$
$\times$
$x_s(t)$
$s(t) = \sum_{k=-\infty}^{\infty} \delta(t - kT), T = \frac{1}{12f_0}, \tau = \frac{T}{2}$
$x_q(t)$
$-1 \to 00$
$x_c(t)$
$-0.5 \to 01$
$0.5 \to 10$
$1 \to 11$
$x_{PCM}(t)$
Pulse
Generator
Encoder
Quantizer
a) If the input signal is $x(t) = \cos 2\pi f_0 t$, plot the signals $x_s(t)$ and $x_q(t)$.
b) If 0 and 1 are converted into rectangular pulses with amplitudes -5V, and +5V,
respectively, plot the signal $x_{PCM}(t)$.

3. Consider pulse code modulation (PCM) system given below. The input signal x(t) is
sampled using flat-top sampling (PAM) technique and the sampled signal is applied to the
quantizer. The output signal of the quantizer enters the encoder which produces coded bits.
Then, the pulse generator converts the coded bits into sequence of pulses.
x(t)
×
xs(t)
s(t) = ∑k=-∞^∞δ(t - kT), T = (1)/(12f0), τ = (T)/(2)
xq(t)
-1 → 00
xc(t)
-0.5 → 01
0.5 → 10
1 → 11
xPCM(t)
Pulse
Generator
Encoder
Quantizer
a) If the input signal is x(t) = cos 2π f0 t, plot the signals xs(t) and xq(t).
b) If 0 and 1 are converted into rectangular pulses with amplitudes -5V, and +5V,
respectively, plot the signal xPCM(t).

Added by Emily W.

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