823 B
823 B
Homework 4 - Aidan Sharpe
Problem 1
A multilevel digital communication system sends one of 16 possible levels over the channel every 0.8[ms].
a
What is the number of bits corresponding to each level? Or what is the number of bits per symbol?
16 levels = \log_2(16) = 4 bits per symbol.
b
What is the baud rate?
1 symbol per 0.8[ms] = \frac{1}{0.8 \times 10^{-3}} = 1250 symbols per second.
c
What is the bit rate?
4 bits per symbol at 1250 baud is 5000[bps].
Problem 2
The input to a differential coding signal is 10110010. Begin with reference digit 1. What is the encoded sequence?
Apply XOR operation to each element, diagonally down and left, and store the result below.
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | |
|---|---|---|---|---|---|---|---|---|
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |