Cognitive Technologies by Alberto Paradisi Alan Godoy Souza Mello Fabrício Lira Figueiredo & Rafael Carvalho Figueiredo
Author:Alberto Paradisi, Alan Godoy Souza Mello, Fabrício Lira Figueiredo & Rafael Carvalho Figueiredo
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham
(8)
(9)
(10)
with and the and -coordinate of the desired pointing angle. Since the radiation pattern consists of samples, one has to use a numerical differentiation method, such as the Finite Difference Method, to determine the partial derivatives of Eqs. (9) and (10).
In order to keep the equations readable, the following shorthand notations will be used:
(11)
with an arbitrary function. Equation (8) can be rewritten using Eqs. (1) and (2) as:
(12)
With proper use of the product rule for derivatives, Eq. (9) can be written as:
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