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Design of planar filters. Planar filters design. Selection of a proper low-pass prototype ( filter order , passband ripple , ...) Computing corresponding planar implementation ( widths and lengths of microstrip segments ). Planar filters stepped impedance.
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Planar filtersdesign • Selection of a proper low-pass prototype(filter order, passband ripple, ...) • Computing corresponding planar implementation(widths and lengths of microstrip segments)
Microstrip segmentsinductance, capacity • Short circuit line: • Open circuit line: • Characteristic impedance:
Low-Pass Stepped Impedancedesign (1) • Requirements: • Cutoff frequency: 1 GHz • Passband ripple: 0.1 dB • Impedance50 • Chebychev low-pass prototype (c = 1): • g0 = g4 = 1 • g1 = g3 = 1.0316 • g2 = 1.1474
Low-Pass Stepped Impedancedesign (2) • Inductance: • Capacity:
Low-Pass Stepped Impedancedesign (3) • Substrate parameters: • Dielectric constant: 10.8 • Substrate height: 1.27 mm • Selection of characteristic impedances: • Input/output: 50 • Inductive segment: 93 • Capacitive segment: 24
Low-Pass Stepped Impedancedesign (4) • Width of microstrip segments:see the 4th lecture
Low-Pass Stepped Impedancedesign (5) • Width of microstrip segments:see the 4th lecture
Low-Pass Stepped Impedancedesign (6) • Width of microstrip segments: • Input / output: 1.1 mm • Inductive segment: 0.2 mm • Capacitive segment: 4.0 mm
Low-Pass Stepped Impedancedesign (7) • Effective permitivity of segments:see the 4th lecture Newly:
Low-Pass Stepped Impedancedesign (8) • Wavelength of segments:see the 4th lecture • Input / output: 112 mm • Inductive segment: 118 mm • Capacitive segment: 105 mm
Low-Pass Stepped Impedancedesign (9) • High-impedance segment:
Low-Pass Stepped Impedancedesign (10) • Low-impedance segment:
Low-Pass Stepped Impedancedesign (11) • Length of segments:
Low-Pass Stepped Impedancedesign (12) • Correcting reactance and susceptance:
References • HONG, J.-S., LANCASTER, M. J. Microstrip Filters for RF / Microwave Applications. New York: John Wiley and Sons. 2001. ISBN 0-4713-8877-7.