It has been well understood that a given signal can be represented in an infinite number of different ways. Of course, different signal representations can be used for different applications. Despite the fact that the number of ways describing a given signal are countless, the most “popular”, important and fundamental variables are: time and frequency. The time domain indicates how a signal’s a...

Underspread and overspread operators are Hilbert–Schmidt operators with strictly bandlimited Kohn–Nirenberg symbols. In this paper, we prove a classical conjecture concerning the necessity of the underspread condition for the identifiability of such operator classes, and, in doing so, we exhibit a new uncertainty principle phenomenon in the time-frequency analysis of operators.

The Segal–Shale–Weil representation associates to a symplectic transformation of the Heisenberg group an intertwining operator, called metaplectic operator. We develop an explicit construction of metaplectic operators for the Heisenberg group H(G) of a finite abelian group G, an important setting in finite time-frequency analysis. Our approach also yields a simple construction for the multivari...

We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand’s class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand’s fundamental results and to far-reaching generalizations.

A polarimetric coherent Time-Frequency (TF) decomposition approach for ship detection is proposed in this paper. At first, the PolSAR data are decomposed in azimuth direction, range direction only or in both directions. Then a novel statistical descriptor called polarimetric TF coherence indicator, is applied to detect maritime targets in different environments. By using polarimetric RadarSat2 ...

Moving targets within SAR scenes are distorted depending on the particulars of the target motion. For small motions, the uncompensated phase of a point reflector is a sum of a term proportional to the range component of the target motion, and a more complicated term depending on the azimuth motion. The resulting phase may be analysed with time-frequency techniques since the motion effect may al...

This work deals with pitch content visualization tools for the analysis of music performance from audio recordings. An existing computational method for the representation of pitch contours is briefly reviewed. Its application to music analysis is exemplified with two pieces of non-notated music: a field recording of a folkloric form of polyphonic singing and a commercial recording by a noted b...

We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand’s class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand’s fundamental results and to far-reaching generalizations.

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This paper presents a method for gathering and evaluating user attitudes towards previously released video games. All user reviews from two video game franchise were collected. The most frequently mentioned words of the games were derived from this dataset through word frequency analysis. The words, called “aspects” were then further analyzed through a manual aspect based sentiment analysis. Th...