118 citations · 790 across the 44 of their papers we have counts for
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Multipliers for Continuous Frames in Hilbert Spaces
Peter Balazs, Dominik Bayer, Asghar Rahimi
In this paper we examine the general theory of continuous frame multipliers in Hilbert space. These operators are a generalization of the widely used notion of (discrete) frame mul…
Sound Analysis and Synthesis Adaptive in Time and Two Frequency Bands
Marco Liuni, Peter Balazs, Axel Röbel
We present an algorithm for sound analysis and resynthesis with local automatic adaptation of time-frequency resolution. There exists several algorithms allowing to adapt the analy…
Can any unconditionally convergent multiplier be transformed to have the symbol (1) and Bessel sequences by shifting weights?
Diana T. Stoeva, Peter Balazs
Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed sequence, called the symbol, and synthesis. They are very interesting mathematical objec…
The Pole Behaviour of the Phase Derivative of the Short-Time Fourier Transform
Peter Balazs, Dominik Bayer, Florent Jaillet +1
The short-time Fourier transform (STFT) is a time-frequency representation widely used in applications, for example in audio signal processing. Recently it has been shown that not…
Frames and Semi-Frames
Jean-Pierre Antoine, Peter Balazs
Loosely speaking, a semi-frame is a generalized frame for which one of the frame bounds is absent. More precisely, given a total sequence in a Hilbert space, we speak of an upper (…