In a particular phase modulation system, each symbol is able to represent 6 bits. What sort of PSK is being used

plain PSK

QPSK

8PSK

16PSK

64PSK

256PSK

To determine the type of PSK (Phase Shift Keying) being used in a phase modulation system where each symbol represents 6 bits, we need to calculate the number of distinct symbols that can be represented.

In PSK, the number of distinct symbols is equal to the number of different phase shifts that can be applied. The formula to calculate this is:

Number of distinct symbols = 2^(number of bits per symbol)

Let's substitute the given value of 6 bits per symbol into the formula:

Number of distinct symbols = 2^(6) = 64

Now, we can compare the calculated number of distinct symbols with the options provided:

- plain PSK: Does not match the calculated 64 symbols.
- QPSK: Represents 4 symbols, so it does not match the calculated 64 symbols.
- 8PSK: Represents 8 symbols, so it does not match the calculated 64 symbols.
- 16PSK: Represents 16 symbols, so it does not match the calculated 64 symbols.
- 64PSK: Represents 64 symbols, which matches the calculated 64 symbols.

Therefore, the type of PSK being used in this particular phase modulation system, where each symbol represents 6 bits, is 64PSK.