'MinPfa'

Minimum false-alarm probability to include in the ROC calculation.

Default:1e-10

'NumPoints'

Number of false-alarm probabilities to use when calculating the ROC curves. The actual probability values are logarithmically equally spaced betweenMinPfaandMaxPfa。

Default:101

'NumPulses'

Number of pulses to integrate when calculating the ROC curves. A value of1indicates no pulse integration.

Default:1

'SignalType'

This property specifies the type of received signal or, equivalently, the probability density functions (PDF) used to compute the ROC. Valid values are:'Real','NonfluctuatingCoherent','NonfluctuatingNoncoherent','Swerling1','Swerling2','Swerling3', and'Swerling4'。Values are not case sensitive.

The'NonfluctuatingCoherent'signal type assumes that the noise in the received signal is a complex-valued, Gaussian random variable. This variable has independent zero-mean real and imaginary parts each with variance σ²/2 under the null hypothesis. In the case of a single pulse in a coherent receiver with complex white Gaussian noise, the probability of detection, P_D, for a given false-alarm probability, P_FAis:

where误差补函数and误差补函数-1are the complementary error function and that function’s inverse, and χ is the SNR not expressed in decibels.

For details about the other supported signal types, see[1]。

Default:'NonfluctuatingCoherent'

Pfa

False-alarm probabilities in a column vector. By default, the false-alarm probabilities are 101 logarithmically equally spaced values between 1e–10 and 1. To change the range of probabilities, use the optionalMinPfaorMaxPfa输入参数。To change the number of probabilities, use the optionalNumPoints输入参数。