engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Probability Continuous Distributions
Consider a channel over which either symbol xA or symbol xB is transmitted. Let the output of channel Y be the input to a maximum likelihood (ML) detector at the receiver. The conditional probability density functions for 𝑌 given xA and xB are:
\(\rm f_{Y|x_A}(y)=e^{-(y+1)}u(y+1)\)
\(\rm f_{Y|x_B}(y)=e^{(y-1)}(1-u(y-1))\)
where u(⋅) is the standard unit step function. The probability of symbol error for this system is _________ (rounded off to two decimal places).
Enter numerical value using the virtual keypad. Round off where necessary.