Keywords : MATLAB, Stepped Impedance, Microstrip, Filter, ADS
Abstract
This paper describes an advanced design systems (ADS) approach of stepped impedance microstrip low pass filter design for both maximally flat or Butterworth and Chebyshev responses. The cut-off frequency is 4 GHz with source and load impedances of 50 Ω. The insertion loss at passband is 0.5 dB and stopband is 20 dB. In this filter design, an order N=5 was used for computation of the lumped elements of Chebyshev low pass filter prototype and N=7 was chosen for maximally flat (Butterworth) filter prototype. Substrate properties such as relative dielectric constant ∈_r = 4.2, loss tangent tanδ=0.02, height of dielectric material h=2.0 mm and conductor thickness of 0.01 mm were used in calculation of the length and width of the transmission line. MATLAB was used in plotting variations of Maximally flat and Chebyshev responses as functions of filter order N, transfer function parameter e and angular frequency ω in rad/s. Design of lumped circuit for microwave filter prototype scaled in frequency and impedances is discussed. Equivalent transmission line was obtained by converting lumped circuit into certain lengths and characteristic impedances. ADS simulation software was used to plot filter characteristics of both maximally flat and Chebyshev responses. The plots show variation of incident wave S(1,1) and forward gain S(1,2) with frequency in GHz. It also fabricates microstrip structural layouts for maximally flat and Chebyshev filters.
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