Wave digital adaptors for Brune, Darlington C and D, and twin-t sections
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Date
2014-04-16
Authors
Le, Huynh Huu
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Abstract
This thesis is concerned with the derivation of new wave adaptors for the Brune section, the Darlington C and De sections, and an adaptor for the Twin-T structure.
These wave adaptors have been derived by applying Martens' and Meerkötter's n-port voltage scattering matrix representation to the corresponding reference network interconnections.
The following results have been obtained:
a) The Brune, C and D adaptors are realized without any unit elements.
b) The adaptors in a0 are canonical in the number of delays.
c) All the adaptors considered may have a reflection-free port which makes cascade synthesis possible.
d) The Brune and C adaptors require six multipliers, four of which are independent and two of which are identical.
e) The D adaptor requires a total number of eleven multipliers, seven of which are independent and two pairs of which are identical.
f) The Twin-T adaptor requires ten multipliers of which seven are independent.
g) In a hardware realization, all the adaptors considered are made to have zero output after a finite time for zero input by means of a simple arithmetic procedure.
Illustrative examples of filters using these structures have been designed, and simulated on a minicomputer. Their respective impulse responses are obtained and show no granularity and/or overflow oscillations, as expected.
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wave adaptors