End sem 7; week 2 winter session 2025

7th-Semester-Fall-2024/ECOMMS/homework/homework-4/homework-4.md

@@ -0,0 +1,28 @@
+# 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 |