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

Parameters:¶

p_fa: ArrayLike¶

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

energy: ArrayLike¶

The received energy $\mathcal{E}=\sum _{i=0}^{N-1}{|s[n]|}^2$.

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, Equations 4.12 and 13.6.