In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay τ {\displaystyle \tau } and Doppler...

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...

"two", as in "two meanings"). The concept of ambiguity is generally contrasted with vagueness. In ambiguity, specific and distinct interpretations are permitted...

{\displaystyle y_{s}(t)}  will be analyzed by the ambiguity function of radar signal. The ambiguity function of radar transmitting signal is expressed as χ...

relationship between the Wigner distribution function, the auto-correlation function and the ambiguity function can then be illustrated by the following figure...

physics create performance constraints that cannot be altered. The ambiguity function associated with pulse compression and scalloping associated with moving...

and economics, ambiguity aversion (also known as uncertainty aversion) is a preference for known risks over unknown risks. An ambiguity-averse individual...

removal of unwanted structures in digital signals to improve the radar ambiguity function or even complete reconstruction of the reference signal from the received...

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...

= S x ( t , f ) {\displaystyle =S_{x}(t,f)} Relation between the ambiguity function and the ACF E [ A X ( η , τ ) ] = ∫ − ∞ ∞ E [ x ( t + τ / 2 ) x ∗...

{\displaystyle \eta ,\tau } axes in the ambiguity domain. Consequently, the kernel function of Choi–Williams distribution function can only filter out the cross-terms...

ignore the ambiguity by rigidly adhering to inaccurate, simplistic interpretations. In contrast, an individual who is tolerant of ambiguity is more likely...

the ambiguity is the Bohr–Mollerup theorem, which shows that f ( x ) = Γ ( x ) {\displaystyle f(x)=\Gamma (x)} is the unique interpolating function for...

fundamental importance in radar waveform design, including the Woodward ambiguity function, the standard tool for waveform and matched filter analysis". In retirement...

pair of dots are distinct. This results in an ideal "thumbtack" auto-ambiguity function, making the arrays useful in applications such as sonar and radar...

inverse function of f. The notation f ⟨ − 1 ⟩ {\displaystyle f^{\langle -1\rangle }} might be used for the inverse function to avoid ambiguity with the...

Range ambiguity resolution is a technique used with medium pulse-repetition frequency (PRF) radar to obtain range information for distances that exceed...

Schröder's equation. Iterated functions and flows occur naturally in the study of fractals and dynamical systems. To avoid ambiguity, some mathematicians[citation...

trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the trigonometric functions, under...

this case, the two dimensional function of doppler and range is known as a radar ambiguity function or radar ambiguity diagram. Surface energy: γ dA (γ...

Fowler–Noll–Vo (or FNV) is a non-cryptographic hash function created by Glenn Fowler, Landon Curt Noll, and Kiem-Phong Vo. The basis of the FNV hash algorithm...

(or reciprocal) of the trigonometric function tangent (see above for ambiguity)[citation needed] Because of ambiguity, the notation arctan(x) or (tan(x))−1...

(or reciprocal) of the trigonometric function cosine (see above for ambiguity)[citation needed] Inverse function sec−1 (disambiguation) sin−1 (disambiguation)...

speed up computer programs by storing the results of expensive function calls to pure functions and returning the cached result when the same inputs occur...

code is a pseudo-random code in the time domain that has a narrow ambiguity function in the frequency domain, unlike other narrow pulse codes. In CDMA...

the expression is said to be not well defined, ill defined or ambiguous. A function is well defined if it gives the same result when the representation...

range is sometimes ambiguously used to refer to either the codomain or the image of a function. A codomain is part of a function f if f is defined as...

possibilities for PRF B. This frequency ambiguity resolution signal processing technique determines true velocity. Ambiguity resolution is typically implemented...

linear time-varying systems and introduced the product high-order ambiguity function, an algorithm useful to estimate the parameters of multi-component...

Analysis Cohen's class distribution function Choi-Williams distribution function Wigner distribution function Ambiguity function Short-time Fourier transform...