15. Coherently integrating N samples of signal-plus-noise produces an integration gain of N on a linear (not dB) scale; that is, if the SNR of a single sample y, is x, the SNR of z=is Nx. It is also often said that noncoherent integration produces an integration gain of about √N. In problems 15 through 18, Albersheim's equation will be used to see if this is accurate for one example case. Throughout these problems, assume Pp = 0.9 and PA 10-6 is required and that a linear (not square law) detector is used. Start by considering detection based on a single sample, N = 1. Use Albersheim's equation to estimate the signal-to-noise ratio, X₁, needed for this single sample to meet the previously given specifications. Give the answer in dB. Be careful about comparing or combining things on the same (linear or dB) scales throughout these four related problems.

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15. Coherently integrating N samples of signal-plus-noise produces an integration gain of N on a
linear (not dB) scale; that is, if the SNR of a single sample y, is x, the SNR of z = is
Nx. It is also often said that noncoherent integration produces an integration gain of about √N.
In problems 15 through 18, Albersheim's equation will be used to see if this is accurate for one
example case. Throughout these problems, assume Pp = 0.9 and P = 10-6 is required and
that a linear (not square law) detector is used. Start by considering detection based on a single
sample, N = 1. Use Albersheim's equation to estimate the signal-to-noise ratio, X₁, needed
for this single sample to meet the previously given specifications. Give the answer in dB. Be
careful about comparing or combining things on the same (linear or dB) scales throughout
these four related problems.
Transcribed Image Text:15. Coherently integrating N samples of signal-plus-noise produces an integration gain of N on a linear (not dB) scale; that is, if the SNR of a single sample y, is x, the SNR of z = is Nx. It is also often said that noncoherent integration produces an integration gain of about √N. In problems 15 through 18, Albersheim's equation will be used to see if this is accurate for one example case. Throughout these problems, assume Pp = 0.9 and P = 10-6 is required and that a linear (not square law) detector is used. Start by considering detection based on a single sample, N = 1. Use Albersheim's equation to estimate the signal-to-noise ratio, X₁, needed for this single sample to meet the previously given specifications. Give the answer in dB. Be careful about comparing or combining things on the same (linear or dB) scales throughout these four related problems.
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