Spectral deviation of concentration operators for the short-time Fourier transform

نویسندگان

چکیده

Time-frequency concentration operators restrict the integral analysis-synthesis formula for short-time Fourier transform to a given compact domain. We estimate how much corresponding eigenvalue counting function deviates from Lebesgue measure

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sharp Continuity Results for the Short-time Fourier Transform and for Localization Operators

We completely characterize the boundedness on Wiener amalgam spaces of the short-time Fourier transform (STFT), and on both L and Wiener amalgam spaces of a special class of pseudodifferential operators, called localization operators. Precisely, sufficient conditions for the STFT to be bounded on the Wiener amalgam spaces W (L, L) are given and their sharpness is shown. Localization operators a...

متن کامل

Windowing and the Short-Time Fourier Transform

With efficient tools for computing the Fourier transform in hand, in this lecture we briefly describe issues that arise when we try to use this tool to analyze signals. We will discuss two major issues. The first is the effect of only collecting a finite number of samples x[0], . . . , x[L − 1], rather than observing x[n] for all n. The second is what happens when the signal of interest has fre...

متن کامل

Windowing Effects of Short Time Fourier Transform on Wideband Array Signal Processing Using Maximum Likelihood Estimation

During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...

متن کامل

Windowing Effects of Short Time Fourier Transform on Wideband Array Signal Processing Using Maximum Likelihood Estimation

During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...

متن کامل

Short-time Fourier transform laser Doppler holography

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...

متن کامل

ذخیره 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: Studia Mathematica

سال: 2023

ISSN: ['0039-3223', '1730-6337']

DOI: https://doi.org/10.4064/sm220214-17-10