Elastic wave pulse complexes are transmitted towards said region where said pulse complexes are composed of a high frequency (HF) and a low frequency (LF) pulse with the same or overlapping beam directions and where the HF pulse is so close to the LF pulse that it observes the modification of the object by the LF pulse at least for a part of the image depth. Received HF signals are picked up by transducers from scattered and/or transmitted components of the transmitted HF pulses. The received HF signals are processed to form measurement or image signals for display, and combined in slow time to form noise suppressed HF signals or nonlinear scattering HF signals.