Quilted Gabor frames – A new concept for adaptive time-frequency representation
نویسندگان
چکیده
منابع مشابه
Varying the Time-frequency Lattice of Gabor Frames
A Gabor or Weyl-Heisenberg frame for L2(Rd) is generated by time-frequency shifts of a square-integrable function, the Gabor atom, along a time-frequency lattice. The dual frame is again a Gabor frame, generated by the dual atom. In general, Gabor frames are not stable under a perturbation of the lattice constants; that is, even for arbitrarily small changes of the parameters the frame property...
متن کاملAdaptive synchrosqueezing based on a quilted short-time Fourier transform
In recent years, the synchrosqueezing transform (SST) has gained popularity as a method for the analysis of signals that can be broken down into multiple components determined by instantaneous amplitudes and phases. One such version of SST, based on the short-time Fourier transform (STFT), enables the sharpening of instantaneous frequency (IF) information derived from the STFT, as well as the s...
متن کاملTime-Frequency Jigsaw Puzzle: Adaptive Multiwindow and Multilayered Gabor Expansions
We describe a new adaptive multiwindow Gabor expansion, which dynamically adapts the windows to the signal’s features in time-frequency space. The adaptation is based upon local time-frequency sparsity criteria, and also yields as by-product an expansion of the signal into layers corresponding to different windows. As an illustration, we show that simply using two different windows with differe...
متن کاملAn adaptive optimal-kernel time-frequency representation
Time-frequency representations with fixed windows or kernels figure prominently in many applications, but perform well only for limited classes of signals. Representations with signal-dependent kernels can overcome this limitation. However, while they often perform well, most existing schemes are blockoriented techniques unsuitable for on-line implementation or for tracking signal components wi...
متن کاملA New Time-Frequency Adaptive Filter
1 Facultatea de Electronică şi Telecomunicaţii, Departamentul Comunicaţii Bd. V. Pârvan Nr. 2, 300223 Timişoara, e-mail [email protected] Abstract – This paper presents a generalization of the concept of adapted filter to a frequency modulated signal. This generalization is inspired by the timefrequency representations theory. A new time-frequency filter is proposed, the tracking filter. I...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2011
ISSN: 0196-8858
DOI: 10.1016/j.aam.2011.02.007