Question

Consider a digital communication system where we sent Aₖ​p(t)cos(2πfc​t) for each symbol where Aₖ​= ±1,±3,±5,±7 and p(t) is given by:

p(t)={5 ​0≤t≤10μs
0 else ​
How many bits can be sent with one symbol? Write a mapping from bits to symbols for this system.

Answer 1

In this digital communication system, one symbol can represent 3 bits using the given equation and values. A mapping from bits to symbols can be created using the 8 different values Aₖ​ can take.

Step-by-step explanation:

In this digital communication system, one symbol is sent using the equation Akp(t)cos(2π function), where Ak can be ±1, ±3, ±5, or ±7, and p(t) is a function defined as 5 for 0 ≤ t ≤ 10μs and 0 otherwise.

To determine the number of bits that can be sent with one symbol, we need to find the number of different values Ak can take. In this case, Ak can take 8 different values (±1, ±3, ±5, and ±7), which can be represented by 3 bits (23 = 8).

Therefore, one symbol can represent 3 bits in this system.