Computes the threshold ${\gamma }^{\prime }$.

Parameters:¶

N_nc: ArrayLike¶

The number of samples $N_{NC}$ to non-coherently integrate.

p_fa: ArrayLike¶

The probability of false alarm $P_{FA}$.

sigma2: ArrayLike¶

The noise variance ${\sigma }^2$.

complex: bool = True¶

Indicates whether the signal is complex.

Returns:¶

The threshold ${\gamma }^{\prime }$.

Notes¶

For real signals:

For complex signals:

References¶

• Steven Kay, Fundamentals of Statistical Signal Processing: Detection Theory, Equation 5.2.