Uncertainty Principles for the Offset Linear Canonical Transform
نویسندگان
چکیده
منابع مشابه
Paley-Wiener Theorems and Uncertainty Principles for the Windowed Linear Canonical Transform
In a recent paper the authors have introduced the windowed linear canonical transform and shown its good properties together with some applications such as Poisson summation formulas, sampling interpolation and series expansion. In this paper we prove the Paley-Wiener theorems and the uncertainty principles for the (inverse) windowed linear canonical transform. They are new in literature and ha...
متن کاملUncertainty principles for hypercomplex signals in the linear canonical transform domains
Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs. In this paper, we extend the uncertainty principle for hypercomplex signals in the linear canonical transform domains, giving the tighter lower bound on ...
متن کاملSampling of compact signals in offset linear canonical transform domains
The offset linear canonical transform (OLCT) is the name of a parameterized continuum of transforms which include, as particular cases, the most widely used linear transforms in engineering such as the Fourier transform (FT), fractional Fourier transform (FRFT), Fresnel transform (FRST), frequency modulation, time shifting, time scaling, chirping and others. Therefore the OLCT provides a unifie...
متن کاملOn uncertainty principle for quaternionic linear canonical transform
In this paper, we generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains...
متن کاملSampling Rate Conversion in the Discrete Linear Canonical Transform Domain
Sampling rate conversion (SRC) is one of important issues in modern sampling theory. It can be realized by up-sampling, filtering, and down-sampling operations, which need large complexity. Although some efficient algorithms have been presented to do the sampling rate conversion, they all need to compute the N-point original signal to obtain the up-sampling or the down-sampling signal in the tim...
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: Circuits, Systems, and Signal Processing
سال: 2018
ISSN: 0278-081X,1531-5878
DOI: 10.1007/s00034-018-0863-z