Abstract

In this technical note, the acoustic echo cancellations by a piezoelectriclayer, coated to a rigid acoustic surface and shunted with various combinationsof resistor, capacitor and inductor in series, have been investigated. Aone-dimensional electro-acoustic model, enabling us to calculate the acousticecho reduction for different shunting circuits, is established for theelectrically shunted piezoelectric layer. It will be seen that shuntingthe piezoelectric layer with a resistor and an inductor can achieve good echoreduction only in a very narrow frequency bandwidth. In order to achievebroadband echo reduction, an inductor, a resistor and a capacitor in seriesshall be used. The formulae for calculating the inductance, resistance andcapacitance of the shunting circuit have been derived. Numerical simulationsshow that the capacitance of the optimal shunting circuit can be negative formost commercial piezoelectric materials, although the inductance can bedesigned to be positive by adjusting the acoustic impedance of thepiezoelectric materials. Realization of a capacitive circuit with negativecapacitance has been proposed.

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