How can i calculate number of pulses form Pd and Pfa

How can i calculate number of pulses form Pd and Pfa. If Pd (Probability of detection)=0.5 and Pfa(Probability of false alarm)=1.3*10^-7

Answer 1

[Honglei Chen]

What is your SNR requirement? You need that information too. The albersheim function in Phased Array System Toolbox does not give you directly that information, but you can obtain a curve using that function and then try to derive the information from there, e.g.,

N = 1:100
for m = length(N):-1:1
  snr(m) = albersheim(0.5,1.3e-7,N(m));
end
plot(N,snr); xlabel('N'); ylabel('SNR (dB)')

From the curve, if your SNR is about 0 dB, then you need approximately 40 pulses.

HTH