Phaseless inverse discrete Hilbert transform and determination of signals in shift‐invariant space

2019 ◽  
Vol 42 (11) ◽  
pp. 4031-4041
Author(s):  
Youfa Li ◽  
Qianyun Yuan
Keyword(s):  
Hilbert Transform ◽  
Invariant Space ◽  
Discrete Hilbert Transform ◽  
Shift Invariant Space

scholarly journals Determination of the electric field and its Hilbert transform in femtosecond electro-optic sampling

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
P. Sulzer ◽  
K. Oguchi ◽  
J. Huster ◽  
M. Kizmann ◽  
T. L. M. Guedes ◽  
...  
Keyword(s):  
Electric Field ◽  
Hilbert Transform ◽  
Electro Optic

scholarly journals Discrete Hilbert transform à la Gundy–Varopoulos

2020 ◽  
Vol 148 (6) ◽  
pp. 2433-2446
Author(s):  
N. Arcozzi ◽  
K. Domelevo ◽  
S. Petermichl
Keyword(s):  
Hilbert Transform ◽  
Discrete Hilbert Transform

scholarly journals One-parameter Groups of Operators and Discrete Hilbert Transforms

2016 ◽  
Vol 59 (3) ◽  
pp. 497-507 ◽  
Author(s):  
Laura De Carli ◽  
Gohin Shaikh Samad
Keyword(s):  
Hilbert Transform ◽  
Hilbert Transforms ◽  
Discrete Hilbert Transform ◽  
Infinitesimal Generators

AbstractWe show that the discrete Hilbert transform and the discrete Kak–Hilbert transform are infinitesimal generators of one-parameter groups of operators in ℓ2.

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