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(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 PFA = 0.01 (1%). What is the required value of the threshold T? What is the resulting value of PD? 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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