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...

We analyzed the effect of time and frequency domain windowing, or weighting, of the transmitted signal for least squares (LS) and minimum mean-square error (MMSE) estimators when the channel is time-variant. We considered the estimation error for different windows and we found that the windows can be selected independently. We explained the performance of the estimators with the help of the rad...

Article history: Available online 23 November 2011

So far the least growth rate known for a divergent inherent ambiguity function was logarithmic. This paper shows that for each computable divergent total non-decreasing function f : N → N there is a context-free language L with a divergent inherent ambiguity function g below f . This proves that extremely slow growing divergent inherent ambiguity functions exist. For instance there is a context...

Microaggressions are unintentional or thoughtless behaviors that convey negative messages to members of minority groups. Due to the attributional ambiguity of microaggressions, people often differ in their judgments about how morally bad acts of microaggression are. To account for this individual variation, we explored the potential influence of heavy social media use on individuals’ moral judg...

American Sign Language famously disambiguates pronoun antecedents with the use of space. In ASL, both referential and quantificational NPs can be signed at different locations (‘loci’) in the signing space. Pronouns can later retrieve these NPs by pointing at the same locus. Many analyses of ASL pronouns assume that these spatial loci are the overt realization of formal variables (Lillo-Martin ...

The scalar particle mo in Japanese gives rise to ambiguity in negative contexts. In this paper we argue that the ambiguity cannot be accounted for as a scopal ambiguity, and propose a lexical ambiguity account. In particular, we observe that the distribution of the small reading of mo is limited to a subset of NPI licensing environments, and is sensitive to presuppositions, from which we conclu...

This talk is based on a joint paper with A. Bonami and G. Garrigós [3] in which the phase retrieval problem for the Radar Ambiguity Function (i.e. the Radar Ambiguity Problem) has been tackled. In particular it was shown that for wide classes of signals, the radar ambiguity problem has a unique solution, up to trivial transformations. In the second part of the talk, we report on ongoing work by...

By using the fractional Fourier transformation of the time-domain signals, closed-form expressions for the projections of their auto or cross ambiguity functions are derived. Based on a similar formulation for the projections of the auto and cross Wigner distributions and the well known two-dimensional (2-D) Fourier transformation relationship between the ambiguity and Wigner domains, closed-fo...