SNR = albersheim(Pd,Pfa)
returns the signal-to-noise ratio in decibels. This value indicates the ratio required to
achieve the given probabilities of detection Pd and false alarm
Pfa for a single sample.
Albersheim's equation uses a closed-form approximation to calculate the SNR. This SNR value is
required to achieve the specified detection and false-alarm probabilities for a
nonfluctuating target in independent and identically distributed Gaussian noise. The
approximation is valid for a linear detector and is extensible to the noncoherent
integration of N samples.
Let
and
where PFA and
PD are the false-alarm and detection
probabilities, respectively
Albersheim's equation for the required SNR in decibels is:
where N is the number of noncoherently integrated
samples.
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