Ambiguity function: Difference between revisions

Content deleted Content added
Agregué una recomendación de lectura, sobre un artículo que trata sobre la discretización de la función de Ambigüedad.
Line 52:
This type of ambiguity function is produced by ideal [[white noise]] (infinite in duration and infinite in bandwidth).<ref>Signal Processing in Noise Waveform Radar By Krzysztof Kulpa (Google Books)</ref> However, this would require infinite power and is not physically realizable. There is no pulse <math>s(t)</math> that will produce <math>\delta(\tau) \delta(f)</math> from the definition of the ambiguity function. Approximations exist, however, and noise-like signals such as binary phase-shift keyed waveforms using maximal-length sequences are the best known performers in this regard.<ref>G. Jourdain and J. P. Henrioux, "Use of large bandwidth-duration binary phase shift keying signals in target delay Doppler measurements," J. Acoust. Soc. Am. 90, 299–309 (1991).</ref>
 
== Properties of the ambiguity function ==
 
(1) Maximum value
Line 80:
:<math>\int_{-\infty}^\infty \int_{-\infty}^\infty |\chi(\tau,f)|^p \, d\tau \,df </math>.
 
These bounds are sharp and are achieved if and only if <math> s(t) </math> is a Gaussian function.
 
== Square pulse ==