Page 323 - Analog and Digital Filter Design
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320 Analog and Digital Filter Design




                        other and overlapping by  a little less than a quarter wavelength. The spacing
                        between resonators is usually less than the resonator’s width, This is shown in
                        Figure 12.5.








                  Figure 12.5
                  Bandpass Filter Layout

                        The detailed design of bandpass filters is too complicated to be dealt with here.
                        Readers are recommended to refer to Edwards for more information.4


                  References


                        1.    Richards, P. I. Resistor Transmission Line Circuits. Proceedings of  the
                              IRE, vol. 36, February 1948, p. 217.

                        2.    Helszajn, J. Synthesis of  Lumped Element, Distributed, and Planar
                              FiIters. London: McGraw-Hill, 1990.
                        3.    Wolff, E., and R. Kaul. Microwave Engineering and Systems Applica-
                              tions. John Wiley & Sons, 1988.
                        4.    Edwards, T. C. Foundations for Microstrip Circuit Design. London:
                              John Wiley & Sons, 1981.

                  Exercises


                        12.1  What length of printed circuit track, in terms of the signal wavelength,
                              is needed before it is classed as a transmission line?
                        12.2   What is the width of  a microstrip line having an impedance of  50Q if
                              FR4 printed circuit material is used (E~ 4.7),  which is 1.6mm thick.
                                                                =
                              Hint: the width to PCB thickness ratio, wlh, will be less than 2.
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