For 8-ary signal or symbol the number of likelihood functions are :

Question

Question

This question was previously asked in

NIELIT Scientific Assistant CS 5 Dec 2021 Official Paper

Answer 1

The correct answer is 8.

key-point-image Key Points

For an 8-ary signal, there are 8 possible symbols that can be transmitted.
Each symbol has a corresponding likelihood function that represents the probability of receiving a particular symbol given the transmitted symbol.
In digital communication, the likelihood function helps in determining the most likely transmitted symbol based on the received signal.
Since there are 8 symbols, and each symbol has its own likelihood function, there will be a total of 8 likelihood functions.

additional-information-image Additional Information

Likelihood functions are essential in the detection process of digital communication systems.
They are used in various modulation schemes to improve the accuracy of symbol detection.
In an 8-ary system, the modulation scheme often used is 8-PSK (8-Phase Shift Keying) or 8-QAM (8-Quadrature Amplitude Modulation).
Understanding and calculating likelihood functions is crucial for designing efficient communication systems with minimal error rates.