A binary source generates symbols 𝑋 ∈ {βˆ’1,1} which are transmitted over a noisy channel

A binary source generates symbols 𝑋 ∈ {βˆ’1,1} which are transmitted over a noisy channel

Q. A binary source generates symbols 𝑋 ∈ {βˆ’1,1} which are transmitted over a noisy channel. The probability of transmitting 𝑋 = 1 is 0.5. Input to the threshold detector is 𝑅 = 𝑋 + 𝑁. The probability density function 𝑓𝑁(𝑛) of the noise 𝑁 is shown below.

If the detection threshold is zero, then the probability of error (correct to two decimal places) isΒ 

Ans: 0.12 – 0.14

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