doi:
UDK: 621.3

REALIZATION OF A ZERO PHASE ANALOG TRANSVERSAL FILTER

Вербова Н. М., Агунов М. В.
Article language: английский

Annotation

The issues of implementation of an analog transversal zero-phase filter are considered, in which filtering is performed as the signal passes through a number of delay lines and the addition of delayed signals from the corresponding taps. Under certain conditions, all delayed signals are added in-phase (passband) or anti-phase (stopband). The filter is made according to the difference circuit, the main advantage of which is the high accuracy of the implementation of the phase characteristic. A block diagram of a transversal filter is given, according to which the filter’s transfer characteristic is considered not relative to its real input, but relative to the virtual input placed in the center of a chain of series-connected phase filters, which makes the zero-phase analog filter implementation real. The principle of operation of the filter is described, which consists in convolution of the input signal with the desired impulse response. A method for solving the problem of approximating the amplitude-frequency characteristic of a broadband transversal zero-phase filter is shown by dividing the desired operating frequency range into intervals, as well as recording and solving a system of equations from the corresponding filter transfer functions recorded for these intervals. Keywords: antialiasing filter, transversal filter, noncausal filter, difference circuit, approximation of frequency characteristics

Bibliography

1. Smith S.W. The Scientist and Engineer’s Guide to Digital Signal Processing. San Diego: California Technical Publishing, 1999, 650 p.
2. Lenk J. Manual for Operational Amplifier Users. Reston Publishing Company, Reston Virginia USA, 1976.
3. Kallman H.E., Transversal Filters. Proc. IRE, 1940, Vol. 28, No. 7, pp. 302–310.
4. Avramenko V.L., Galiamitchev U.P., Lanne A.A. Electricheskie linii zaderjki i fazovraschateli [Electric delay lines and phase shifters]. Moscow, Sviaz, 1973, 111 p.
5. Spravochnik po teoreticheskim osnovam radioelectroniki: v 2-h tomah [Handbook of the
theoretical foundations of radio electronics: in 2 volumes]. Vol. 1, Moscow, Energy, 1977,
504 p.
6. Agunov M.V., Agunov A.V., Verbova N.M. The Russian Federation Patent № 2331976 Ustroystvo svertci sygnala s impulsnoy haracteristicoy sinteziruemoy lineynoy electritcheskoy
tsepi [A device for convolution of a signal with a pulse characteristic of a synthesized linear
electrical circuit].
7. Sato Y. Signal Management. Moscow, Dodeka-XXI, 2002, 176 р.
8. Agunov A.V. Shemotehnika system avtomatizatsii [Circuit design of automation systems].
St. Petersburg, St. Petersburg State Marine Technical University, 2005, 104 p.