By K. C. Gupta, Peter S. Hall
With communications applied sciences speedily increasing, the conventional separation of digital circuits and antenna platforms layout isn't any longer possible. This ebook covers quite a few layout ways appropriate to built-in circuit-antenna modules with the target of putting the antenna, transmitter, and receiver all on a unmarried chip. It emphasizes research and layout related to the combination of circuit capabilities with radiating components and addresses traits in structures miniaturization.
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Extra resources for Analysis and Design of Integrated Circuit-Antenna Modules
All other elements are zero except for those corresponding to the two ports connected together (the G-matrix elements) which are 1's. The zero=nonzero pattern in the W-matrix depends only on the topology of the circuit and does not change with component characterizations or frequency of operation. The tridiagonal pattern of Eq. 30 is a characteristic of a chain of two-port components cascaded together. 29) to ®nd components of the vector a. 2 CAD FOR MICROWAVE CIRCUITS 43 ports and zeros elsewhere.
11a, W may be written as P T T T T T 3T T 4T T T 5T T 6T T T 7T T 8R 1 2 1 2 3 4 5 6 7 8 S ÀS11 1 0 0 0 0 0 0 1 A ÀS11 A ÀS12 0 0 0 0 0 A ÀS21 A ÀS22 1 0 0 0 0 0 1 B ÀS11 B ÀS12 0 0 B ÀS22 1 0 0 0 0 B ÀS21 0 0 0 0 1 C ÀS11 C ÀS12 0 0 0 0 0 C ÀS21 C ÀS22 0 0 0 0 0 0 1 Q U 0 U U U 0 U U U 0 U U U 0 U U U 0 U U U 1 U S 2:30 L ÀS11 We note that the main diagonal elements in W are the negative of the re¯ection coef®cients at the various component ports. The other (nondiagonal) elements of W are the negative of the transmission coef®cients between different ports of the individual components.
Cascade of three components A, B, and C) is given by S11 a1 M11 ; S21 a8 M81 2:32 Here subscripts of S refer to circuit ports of Fig. 10 and subscripts of a correspond to component ports of Fig. 11a. For obtaining the second column of the S-matrix, we take c8 1 and other c's to be zero and ®nd a1 and a8 again to yield S21 a1 M81 ; S22 a8 M88 2:33 It may be noted that Eq. 29 yields much more information (namely, wave variables at all the internal connected ports also) than what is needed for calculation of the Smatrix of the circuit.