Lesson plan
ambiguity function
In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay \tau and Doppler frequency f , \chi(\tau,f) . It represents the distortion of a returned pulse due to the receiver matched filter (commonly, but not exclusively, used in pulse compression radar) of the return from a moving target. The ambiguity function is defined by the properties of the pulse and of the filter, and not any particular target scenario. Many definitions of the ambiguity function exist; some are restricted to narrowband signals and others are suitable to describe the delay and Doppler relationship of wideband signals. Often the definition of the ambiguity function is given as the magnitude squared of other definitions (Weiss ). For a given complex baseband pulse s(t) , the narrowband ambiguity function is given by : \chi(\tau,f)=\int_{-\infty}^\infty s(t)s^*(t-\tau) e^{i 2 \pi f t} \, dt where ^* denotes the complex conjugate and i is the imaginary unit. Note that for zero Doppler shift ( f=0 ), this reduces to the autocorrelation of s(t) . A more concise way of representing the ambiguity function consists of examining the one-dimensional zero-delay and zero-Doppler "cuts"; that is, \chi(0,f) and \chi(\tau,0) , respectively.…
Article summary
In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay \tau and Doppler frequency f , \chi(\tau,f) . It represents the distortion of a returned pulse due to the receiver matched filter (commonly, but not exclusively, used in pulse compression radar) of the return from a moving target. The ambiguity function is defined by the properties of the pulse and of the filter, and not any particular target scenario. Many definitions of the ambiguity function exist; some are restricted to narrowband signals and others are suitable to describe the delay and Doppler relationship of wideband signals. Often the definition of the ambiguity function is given as the magnitude squared of other definitions (Weiss ). For a given complex baseband pulse s(t) , the narrowband ambiguity function is given by : \chi(\tau,f)=\int_{-\infty}^\infty s(t)s^*(t-\tau) e^{i 2 \pi f t} \, dt where ^* denotes the complex conjugate and i is the imaginary unit. Note that for zero Doppler shift ( f=0 ), this reduces to the autocorrelation of s(t) . A more concise way of representing the ambiguity function consists of examining the one-dimensional zero-delay and zero-Doppler "cuts"; that is, \chi(0,f) and \chi(\tau,0) , respectively.…
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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