LOUIS ADRIAN MENDOZA
1
Solution:
𝐹𝑚𝑎𝑥 = 6000 Hz
𝐹𝑁 = 2(𝐹𝑚𝑎𝑥)
𝐹𝑁 = 2(6000 Hz)
𝐹𝑁 = 12000 hz or 12 kHz
• Based upon the max frequency, what sampling rate must be
exceeded in order to accurately reconstruct the signal from its
samples?
LOUIS ADRIAN MENDOZA
2
Consider the following analog waveform. This
waveform is sampled at a 500 Hz rate and quantized
with a 2-bit quantizer (i.e., A/D converter) if the
input range is -1.0 to +1.0 V.
(a) Circle the sample points (first sample is at time t
= 0 sec).
(b) Indicate the quantization intervals and
corresponding digital words.
(c) Indicate the digital word assigned to each sample
point.
(d) What is the stream of binary bits generated after
the A/D conversion is complete?
(e) What is the resulting bit rate from this A/D?
LOUIS ADRIAN MENDOZA
f = 500 Hz
N=2
f = 1/500 Hz
f = 0.002 s or 2 ms
𝑉𝑚𝑎𝑥 = 1
𝑉𝑚𝑖𝑛 =-1
10
q. levels
Range
00
-1 - (-0.501)
01
- 0.5 – (- 0.001)
10
0 – 0.499
11
0.5 – 0.999
2 𝑏𝑖𝑡𝑠
11
Rb = 𝑠𝑎𝑚𝑝𝑙𝑒𝑠 𝑥
500 𝑠𝑎𝑚𝑝𝑙𝑒𝑠
𝑆𝑒𝑐
Rb = 1000 bits/sec
N =2
q =
q =
𝑉𝑚𝑎𝑥
− 𝑉𝑚𝑖𝑛
2𝑁
1 −(−1)
01
22
q = 0.5v
00
10
11
11
10
00
Stream of binary bits = 101111100001
01