This note provides historical perspective and background on the motivations which led to the
invention of the modulation spaces by the author almost 25 years ago, as well as comments …

Identification of time-varying linear systems, which introduce both time-shifts (delays) and
frequency-shifts (Doppler-shifts), is a central task in many engineering applications. This …

Hitherto communication theory was based on two alternative methods of signal analysis.
One is the description of the signal as a function of time; the other is Fourier analysis. Both …

In this paper, we study the identification of a time-varying linear system from its response to a
known input signal. More specifically, we consider systems whose response to the input …

We discuss the linear independence of systems ofmvectors in n-dimensional complex vector
spaces where the m vectors are time-frequency shifts of one generating vector. Such …

We study linear time-varying operators arising in mobile communication using methods from
time–frequency analysis. We show that a wireless transmission channel can be modeled as …

The goal of channel measurement or operator identification is to obtain complete knowledge
of a channel operator by observing the image of a finite number of input signals. In this …

Radar remote sensing has advanced tremendously since 1950 and is now applied to
diverse areas such as military surveillance, meteorology, geology, collision avoidance, and …

We consider the problem of recovering a matrix from its action on a known vector in the
setting where the matrix can be represented efficiently in a known matrix dictionary …

We address the problem of estimating target locations that are sparse in a pulse-Doppler
radar's unambiguous region by sampling the received signal at sub-Nyquist rates. The …