Question: (3)Consider detection of a constant in complex Gaussian noise. Let the total noise variance b 2 = 2, the number of samples N = 1,

(3)Consider detection of a constant in complex Gaussian noise. Let the total noise variance b² = 2, the number of samples N = 1, and the constant m= 4. What is the SNR c for this case? Suppose we want to have P_FA = 0.01 (1%). What is the required value of the threshold T? What is the resulting value of P_D? You can use lookup tables or MATLAB to calculate the values of functions such as erf(), errc(), erf^-1(), or erfc^-1() that you may need.

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