| Description |
viii, 63 leaves : illustrations ; 28 cm |
| Summary |
"This thesis is concerned with the application of two digital filter design techniques to the Pade approximate continuous filters. The (m, n) Pade approximant has a numerator polynomial of degree n in s and a denominator of degree n in s. The (n-1, n) approximates are desirable for linear phase low pass filters, pulse delay circuits without initial condition errors, and pulse forming networks. A collection of plots is shown to demonstrate the quality of the approximations in the frequency domain, as far as amplitude and phase are concerned. These low pass approximants are normalized to a cut-off frequency of 1 Hz. With the well-known frequency transformation techniques the high pass frequency approximants can be found in the same way. Almost all the numerical evaluations were done using the IBM 360/40 digital computer. Four main programs were written: (1) a program to evaluate the roots of polynomials, (2) a generalized program for the evaluation of the terms of a partial fraction expansion for rational fractions of third and fourth order, (3) one program to evaluate and plot standard Z transform approximates, and (4) one program to evaluate and plot bilinear Z transform approximates"--Abstract, leaf ii. |
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