Let W (ψ; x, y) be the wideband ambiguity function. It is obtained in this note that y− α+2 2 W (ψ;x, y)(α > −1) is SO(2)-invariant if and only if the Fourier transform of ψ is a Laguerre function.

We provide a rationale for ambiguous communication. We do so by considering a cheap talk game in which a (possibly ambiguity averse) sender (S) able to randomize according to unknown probabilities faces an ambiguity averse receiver (R). We show that under fairly general circumstances, there exist equilibria featuring Ellsbergian communication strategies that allow both S and R to obtain a highe...

The Working Papers should not be reported as representing the views of the Banco Central do Brasil. The views expressed in the papers are those of the author(s) and do not necessarily reflect those of the Banco Central do Brasil. This paper characterizes ambiguity averse preferences in the absence of the completeness axiom. We axiomatize multiple selves versions of some of the most important ex...

We show that an increase in uncertainty about the probability of being audited (ambiguity) increases tax compliance for ambiguity-averse taxpayers but reduces compliance for ambiguity lovers. Because experimental evidence reveals considerable heterogeneity with respect to ambiguity preferences, we conclude that fostering uncertainty about the probability of being audited may not be an effective...

We consider a multicarrier chirp-based waveform for joint radar and communication (JRC) systems derive its time discrete periodic ambiguity function (AF). A set of parameters (e.g., chirp rate) can together with the transmit sequence be selected to shape AF thumbtack-like, or ridge-like, either along delay axis Doppler axis. demonstrate how these shapes are applicable different use cases, e.g.,...

The paper investigates the properties of ambiguity functions of 2-D analytic, quaternionic and monogenic signals. In the introduction the notions of the above signals and their Wigner distributions and ambiguity functions are recalled. The properties of the ambiguity functions are investigated using two kinds of test signals: A band-pass test signal in the form of a sum of two harmonic signals ...

The connection between the Wigner function and the generalized OTF, and between the ambiguity function and the generalized OTF is investigated for non-paraxial scalar wavefields. The treatment is based on two-dimensional (2-D) wavefields for simplicity, but can be extended to the three-dimensional case.

Multistatic radars utilize multiple transmitter and receiver sites to provide several different monostatic and bistatic channels of observation. Multistatic passive and active systems can offer many advantages in terms of coverage and accuracy in the estimation of target signal parameters but unfortunately their performances are heavily sensitive to the position of receivers (RX) and transmitte...

The ambiguity function (AF) provides a convenient way to model how a camera with a modified aperture responds to defocus. We use the AF to design an optimal aperture distribution, which creates a depth-variant point spread function (PSF) from a sparse set of desired intensity patterns at different focal depths. Prior knowledge of the coherence state of the light is used to constrain the optimiz...

This paper summaries our recent work on the application of the concepts of capacity per unit cost and reliability function per unit cost to models of fading channels. The cost is taken to be the energy, or a certain fourth moment functional that is sensitive to the bursti-ness of the signals, and is related to the ambiguity function of the input signal. The channel is assumed to be a Wide-Sense...