Paper Info
Title
Properly Handling Complex Differentiation in Optimization and Approximation Problems: ICASSP Panel [Lecture Notes]
Abstract
Functions of complex variables arise frequently in the formulation of signal processing problems. The basic calculus rules on differentiation and integration for functions of complex variables resemble, but are not identical to, the rules of their real variable counterparts. On the contrary, the standard calculus rules on differentiation, integration, series expansion, and so on are the special cases of the complex analysis with the restriction of the complex variable to the real line. The goal of this lecture note is to review the fundamentals of the functions of complex variables, highlight the differences and similarities with their real variable counterparts, and study the complex differentiation operation with the optimization and approximation applications in mind.
Year
DOI
Venue
2019
10.1109/MSP.2018.2876761
IEEE Signal Processing Magazine
Field
DocType
Volume
Signal processing,Computer science,Real line,Series expansion,Theoretical computer science,Complex variables,Transfer function
Journal
36
Issue
ISSN
Citations 
2
1053-5888
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Cagatay Candan18210.38