arXiv subjects

Rajab Ali Kamyabi Gol

Publications and source records attributed to Rajab Ali Kamyabi Gol.

3 recordsLinked to original sources

arXiv2018

N strongly quasi invariant measure on double coset

Let G be a locally compact group, H and K be two closed sub-groups of G, and N be the normalizer group of K in G. In this paper, the existence and properties of a rho-function for the triple (K,G,H) and an N-strongly quasi-invariant measure of double coset space K\G/H is investigated. In particular, it is shown that any such measure arises from a rho-function. Furthermore, the conditions under which an N-strongly quasi-invariant measure arises from a rho-function are studied.

math.RT↗

arXiv2017

Finite Synchrosqueezing Transform Based On The STFT

The finite STFT Synchrosqueezing transform is a time-frequency analysis method that can decompose finite complex signals into time-varying oscillatory components. This representation is sparse and invertible, allowing recovery of the original signal. The STFT Synchrosqueezing transform on finite dimensional signals has the advantage of an efficient matrix representation. This article defines the finite STFT Synchrosqueezing transform and describes some properties of this transform. We compare the finite STFT and the finite STFT Synchrosqueezing transform by applying these transform to a set of signals.

math.NA↗

arXiv2017

Gabor Tight Fusion Frames: Construction and Applications in Signal Retrieval Modulo Phase

Hilbert space fusion frames are a natural extension of Hilbert space frames, extending the notion from a set of vectors in a Hilbert space to a set of subspaces of a Hilbert space with analogous notions of overcompleteness and boundedness. As tight frames are a very important topic within standard frame theory, tight fusion frames are similarly important; however, only trivial examples of tight fusion frames are hitherto known. In this paper, we apply ideas from Gabor analysis to demonstrate a non-trivial construction of tight fusion frames. We then use this construction to further show their applicability in some cases for the retrieval of signals modulo phase.

math.FA↗