The electrooptical properties of antiferroelectric liquid crystal displays have been investigated. Furthermore it has been observed, that the shape and size of the double hysteresis depend on both the amplitude and the frequency of the applied triangular waveform. Different addressing schemes have been tested to produce analogue grey scales in the display. The influence of the holding voltage, the amplitude of the bipolar waveform and the width of the reset pulse on the switching was investigated. All applied waveforms showed grey scale in the test cells. However, if the holding voltage is too low, the transmission decays with time. Moreover, for optimal holding voltages the transmission remained constant during the frame time. Formation and growth of different domain textures on applied waveforms have been studied.