الفهرس 
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Abstract
The present thesis gives & newmetho~ for synthesizing symmetrical lattice ne~~orks using resistors, inductors and capacitors within a multiplicative constant. The method permits the synthesis of transfer function that is a ratio of the output voltage or current to the input voltage or current, as long as the transfer fUnction satisfies the conditions of physical real¬izability- The max allowable value of a multiplicative factor (which determine the gain level) in the transfer fUnction is determined, and algorithm for its calculation is given. The lattice achieved may have any desirable termination.
The zeros of the transfer functions may be any where in the complex mmber plane, the poles must lie in the left half plane or its boundary.
It is found that the1”eare realizable transfer functions which can not be synthesized (even up to multiplicative fa ctor) by means of symmetrio lattice, these functions ’Vlhieh have a pole on the pure imaginary axis, this is observed by drawing the root loci•
A transfer function is synthesized by synthesizing an equiv¬alent open circuit voltage transfer fUnction as the basic one from which the desirable form of network are easily derived. Two root loci plots are used in the synthesis procedures, as well as in a proof that an ’open ’<:ireuit voltage transfer function satis¬fying the conditions of physical’” r6fil1zability o1’JlLC•tl’s.ster functions can ba synth(>~ized USingi the ’’P’.rescr1beQ method
The network resulting t:r-OOl. the synthesis of an open circuit voltage transfer function, has a maximum gain.
The thesis consists of two parts:
In part one, contains a detailed but brief discussion of previous authors, in synthesizing symmetrical RLe lattice network and is divided into three chapters- In chapter one, the ba sic concepts of transfer function which contains, a review of the expression used in transfer func¬tion and the conditions of physi ca 1 rea lizabill ty of transfer functions - In chapter two, the design technique of a lattice \>1hich contains the parameters of lattice, description of the basic approach to lattice synthesis and the lattice decomposition_
In chapter three, previous works which .contain several method to achieve lattice networks-
Part two: is de~ted to our synthesis and is subdivided into tvLo chapters :
In chapter four, contains the theoretical investigation of lattice transfer functions in which a new method is presented.
A mmerical example is considered which carried out on the IEI( 1620 digital computers of Alexandria University-
In chapter five, contains the frequency and transient respo¬nSQs of our example ’t11th the new method and compa.rison with other previou s works.