EE4047_Part1 - 1 City University of Hong Kong City...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 City University of Hong Kong City University of Hong Kong City University of Hong Kong City University of Hong Kong Part 1: Optimization - Problems and Classical Methods Optimization Problems s Find the “best” solution from all feasible solutions for a problem s Best for a function, cost, … s Examples: s Dimensions of Antenna s Wireless network layout s Parameters of controllers and systems s Facial reconstruction of a criminal s … 2 Condition of minimization s Function with single variable x x m x c f(x) x X * Local and Global minimum s A function has a local minimum at the value x if there exists a positive value δ such that if s A function f(x) has a global minimum at x * if for all values of x s f’(x) = 0 for both cases (max or min) ; s f’’(x)> 0 for minimum points ( ) ( ) , x f x f x x ≥ <- δ ( ) ( ) * x f x f ≥ N.B.: f’(x) represents the differentiation of the function f w.r.t. x 3 Example x x x f sin 2 1 ) ( 2- = f’ ( x ) Newton’s method O x 1 T x P θ...
View Full Document

This note was uploaded on 05/01/2011 for the course ELECTRICAL EE5602 taught by Professor Xuequan during the Spring '11 term at City University of Hong Kong.

Page1 / 5

EE4047_Part1 - 1 City University of Hong Kong City...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online