# Shnidman’s equations

19 views (last 30 days)
Meshaal Mouawad on 6 Oct 2019
Commented: Honglei Chen on 7 Oct 2019
the Shnidman’s equations in matlab plot SNR vs pfa but I want to plot SNR vs N pulses
for example the probability of detection, a Swerling 1 target, three different probabilities of false alarm, Pd = 0.98; Swerling 1target; PFA = 10^‐8 ,10^‐6, 10^‐4
; N = 1 to 50
I am new to matlab and would love to know how to plot this

Honglei Chen on 7 Oct 2019
In this case you can use shnidman to compute the SNR as a functionof N and then plot it manually, e.g.
N = 1:50;
Pd = 0.98;
Pfa = 1e-6;
SNR = zeros(size(N));
for m = 1:numel(N)
SNR(m) = shnidman(Pd,Pfa,m,1);
end
plot(N,SNR);
xlabel('Number of Pulses');
ylabel('SNR (dB)')
HTH
Meshaal Mouawad on 7 Oct 2019
I got it ! by defining Pfa = [Pfa1 Pfa2 Pfa3 ...etc] where Pfa's is the number of Pfa nedded exp: [1e-3 1e-4 1e-5]
N = 1:50;
Pd = 0.98;
Pfa = [1e-8 1e-3 1e-5];
SNR_1 = zeros(size(N));
SNR_2 = zeros(size(N));
for m = 1:numel(N)
SNR_1(m) = shnidman(Pd,Pfa(1),m,1);
SNR_2(m) = shnidman(Pd,Pfa(2),m,1);
SNR_3(m) = shnidman(Pd,Pfa(3),m,1);
end
plot(N,SNR_1);
hold on
plot(N,SNR_2);
plot(N,SNR_3);
xlabel('Number of Pulses');
ylabel('SNR (dB)')
Honglei Chen on 7 Oct 2019
very nice, glad you got it

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