Main Content

binaryintloss

Loss due to M-of-N binary pulse integration

Since R2021a

collapse all in page

    Syntax

    LB = binaryintloss(PD,PFA,N)
    LB = binaryintloss(PD,PFA,N,M)
    [LB,PDSP,PFASP] = binaryintloss(___)

    Description

    LB = binaryintloss(PD,PFA,N) calculates the binary integration loss, LB, due to M-of-N pulse integration, where N is the number of received pulses. The function computes the loss in dB and assumes that you are using a square-law detector and a nonfluctuating target.

    Note

    The number of detections, M in the M-of-N integration scheme, is set to M=0.955*N0.8, where M is rounded to the nearest integer using the round function. This value is close to the optimal value that results in the binary integration loss lower than 1.5 dB for the number of pulses, N, in the range between [5,700].

    example

    LB = binaryintloss(PD,PFA,N,M) calculates the binary integration loss, LB, where N is the number of received pulses and M is the number of detections. The function computes the loss in dB and assumes that you are using a square-law detector and a nonfluctuating target.

    example

    [LB,PDSP,PFASP] = binaryintloss(___) also calculates single-pulse probabilities of detection, PDSP, and single-pulse probabilities of false alarm, PFASP, which are required at the input of the binary integrator to achieve the desired PD and PFA. Specify the input arguments from any of the previous syntax.

    Examples

    collapse all

    Open Live Script

    Calculate binary integration loss for 12 detections from 24 received pulses. Assume a probability of detection of 0.9 and probability of false alarm of 1e-6

    PD = 0.9;  
PFA = 1e-6;
N = 24;    
M = 12;     
binaryintloss(PD,PFA,N,M)
    ans = 
1.0596

    Input Arguments

    collapse all

    Probability of detection in the range [0.1,0.999999], specified as a positive scalar or as a length-J vector with each element in the range [0.1,0.999999].

    Probability of false alarm, specified as a positive scalar in the range [1e-15,1e-3] or as a length-K vector with each element in the range [1e-15,1e-3].

    Number of received pulses, specified as a positive integer.

    Number of detections, specified as a positive integer. By default, the number of detections is set to M=0.955*N0.8, where M is rounded to the nearest integer using the round function. This value is close to the optimal value that results in the binary integration loss lower than 1.5 dB for N in the range between [5,700].

    Output Arguments

    collapse all

    Binary integration loss, returned as a J-by-K matrix in dB with rows corresponding to the number of elements in PD and columns corresponding to the number of elements in PFA.

    Single-pulse probabilities of the detection, returned as a J-by-K matrix with rows corresponding to the number of elements in PD and columns corresponding to the number of elements in PFA.

    Single-pulse probabilities of the false alarm, returned as a J-by-K matrix with rows corresponding to the number of elements in PD and columns corresponding to the number of elements in PFA.

    Extended Capabilities

    C/C++ Code Generation
    Generate C and C++ code using MATLAB® Coder™.

    Version History

    Introduced in R2021a

    See Also

    | | |