Application of the Potential Analogy to Bode's Linear Phase Filter Design
Department of Electrical Engineering, Stanford University., 1961 - Electric filters - 122 pages
The 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).
3 pages matching radians in this book
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Realization techniques applied to Filter No 1
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all-pass network angular frequency attenuation ripple bandpass ripple Bode filter Bode's method chapter characteristic of Filter charge distribution computed cosh critical frequency locations cutoff frequency departure from linearity discussed equipotential line experimental attenuation characteristics finite number flux lines Gamma functions image transfer function impedance arms index function infinite gain infinite loss infinite-loss points infinity linear approximation LINEAR-PHASE FILTER DESIGN Log Q method of parameter NEGATIVELY CHARGED CONDUCTOR nepers network synthesis number of elements number of flux p-plane PARTIAL FLUX PLOT pass band phase and attenuation phase characteristic phase curve phase departure PHASE-CORRECTIVE NETWORK points of infinite potential analogue model potential analogy approach pression quantized charges quantized expression quantized negative charges quantized positive radians real-frequency axis realization techniques right-half plane Section shown in Fig simple potential analogue symmetrical lattice network tenuation thesis transition band two-port network typical Bennett filter units of charge value of attenuation zero