scholarly journals Application of planar curve offset compensation in path modification

2021 ◽  
Vol 1798 (1) ◽  
pp. 012031
Author(s):  
Huliang Ma ◽  
Yanqing Wang
Keyword(s):  
Planar Curve ◽  
Offset Compensation ◽  
Path Modification

scholarly journals Affine Subspaces of Curvature Functions from Closed Planar Curves

2021 ◽  
Vol 76 (2) ◽  
Author(s):  
Leonardo Alese
Keyword(s):  
Arc Length ◽  
Planar Curves ◽  
Affine Subspaces ◽  
Planar Curve ◽  
Real Functions ◽  
Discrete Counterpart ◽  
Equivalent Conditions

AbstractGiven a pair of real functions (k, f), we study the conditions they must satisfy for $$k+\lambda f$$ k + λ f to be the curvature in the arc-length of a closed planar curve for all real $$\lambda $$ λ . Several equivalent conditions are pointed out, certain periodic behaviours are shown as essential and a family of such pairs is explicitely constructed. The discrete counterpart of the problem is also studied.

scholarly journals Keplerian trigonometry

2021 ◽  
Author(s):  
Alessandro Gambini ◽  
Giorgio Nicoletti ◽  
Daniele Ritelli
Keyword(s):  
Elliptic Curve ◽  
Real Interval ◽  
Planar Curve ◽  
Signed Area

AbstractTaking the hint from usual parametrization of circle and hyperbola, and inspired by the pathwork initiated by Cayley and Dixon for the parametrization of the “Fermat” elliptic curve $$x^3+y^3=1$$ x 3 + y 3 = 1 , we develop an axiomatic study of what we call “Keplerian maps”, that is, functions $${{\,\mathrm{{\mathbf {m}}}\,}}(\kappa )$$ m ( κ ) mapping a real interval to a planar curve, whose variable $$\kappa $$ κ measures twice the signed area swept out by the O-ray when moving from 0 to $$\kappa $$ κ . Then, given a characterization of k-curves, the images of such maps, we show how to recover the k-map of a given parametric or algebraic k-curve, by means of suitable differential problems.

Fast carrier frequency offset compensation in OFDM systems

2001 ◽  
Vol 47 (3) ◽  
pp. 364-369 ◽  
Author(s):  
Dong-Seog Han ◽  
Jae-Hyun Seo ◽  
Jung-Jin Kim
Keyword(s):  
Carrier Frequency ◽  
Carrier Frequency Offset ◽  
Frequency Offset ◽  
Ofdm Systems ◽  
Offset Compensation
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