Density of Gabor Systems Via the Short Time Fourier Transform
نویسندگان
چکیده
منابع مشابه
Characterizations of Gabor Systems via the Fourier Transform
We give characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems. The conditions we propose are stated in terms of equations for the Fourier transforms of the Gabor system’s generating functions.
متن کاملMuzzle Blast Detection via Short Time Fourier Transform
A projectile's trajectory can be estimated by measuring the arrival times of the acoustic energy at several locations in space. In case of a supersonic projectile fired from a gun, both the acoustic shockwave and muzzle blast can be observed. For acoustic sensor networks attempting to determine the trajectory, the challenge is to first, correctly classify the transient signal as either a shockw...
متن کاملWindowing 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 کاملWindowing 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 کاملWindowing 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 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: Journal of Fourier Analysis and Applications
سال: 2017
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-017-9535-9