Application of the Potential Analogy to Bode's Linear-phase Filter DesignThe design of linear-phase filters has assumed a role of increasing importance to the network synthesizer. Research is concerned with the design techniques for such filters by investigating the possibility of applying the potential anal gy to Bode's well-known method of parameter determination for linear-phase filters. The potential analogy is applied to 2 typical Bode filters: the first has 3 critical frequencies in the transmission band and one in the transition region, while the second has 5 critical frequencies in the transmission band and 1 in the transition region. Flux plots for a negatively charged plate lying in the passband region of the frequency axis, and positive charges located in the finite p-plane, are drawn. The method of quantizing the negative charges on an equipotential is employed, from which a quantized image transfer function for each filter is obtained. The phase and attenuation characteristics of these transfer functions are studied and compared with similar characteristics of other linear-phase filter designs. Several realizing techniques are applied to these transfer functions and the resulting networks are shown. (Author). |
From inside the book
4 pages matching realization techniques in this book
Page iv
Where's the rest of this book?
Results 1-3 of 4
Common terms and phrases
1+aM all-pass network angular frequency attenuation ripple Bode filter Bode's method Cauer chapter characteristic of Filter charge distribution computed cosh critical frequency locations cutoff frequency departure from linearity Design phase characteristic discussed equation equipotential equipotential line finite number frequency spectrum Gamma functions illustrates image transfer function impedance arms impedance function index function infinite gain infinite loss infinite-loss points infinity LIBRARIES linear approximation LINEAR-PHASE FILTER DESIGN Log Q method of parameter NEGATIVELY CHARGED CONDUCTOR nepers network synthesis p-plane PARTIAL FLUX PLOT pass band phase and attenuation phase curve Phase departure phase shift PHASE-CORRECTIVE NETWORK points of infinite pression quantized charges quantized negative charges radians real-frequency axis realization techniques right-half plane Section shown in Fig STANFORD SURROUNDING POSITIVE tenuation thesis transition band transition factors transmission band two-port network units of charge value of attenuation Yo+1 zero مالم