A method of transducer excitation in medical ultrasound imaging. Based on a stepped approximation of Gaussian modulated cosines, the transmit waveform provides bandlimited spectrum and low level of second order harmonics while retaining the duration of the transmitting within two carrier cycles. The waveform is constructed as a linear composition of four unipolar, rectangle pulses of unity amplitude. Furthermore, the described embodiment supports digitally controlled transmit apodization and focusing.