A method for calculating the probability of detection for a coherent (AMTI) radar unit with phase cancellation

✍ Scribed by F.B Bailey

• Publisher: Elsevier Science
• Year: 1963
• Tongue: English
• Weight: 903 KB
• Volume: 275
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(63)90687-2

✦ Synopsis

In this paper, general probability theory is used to evaluate the theoretical effectiveness of an Airborne Moving Target Indicator (AMTI) radar system using phase cancellation in the cancellation unit, this effectiveness being expressed in terms of a Probability of Detection.

In developing the required expressions, a four-dimensional probability density function is first derived to relate the incoming signal at time (t) with a signal that arrived (r) seconds before. Using this function, the probability density functions for the primary units in the radar, namely, the receiver, the cancellation unit, the rectifier and the read-out scope (planned position indicator) are derived. Using the probability density function for the planned position indicator unit the expression for the probability of detection for the over-all system is obtained.

The results show the probability of detection of the system to be a function of the signal to background noise (clutter) ratio, variance of the clutter power density spectrum and the pulse repetition frequency, and the results are given in a useful graph form.