A system for producing an image using an imaging system includes a) transmitting at least one signal of energy toward an object to be imaged by using two transmitters having the same output amplitude but of an opposite sign, or by using one transmitter to perform the task; b) exciting at least one transducer element to produce limited-diffraction array beams or their square-wave approximations with two levels of quantitations for both sine and cosine functions, c) weighting the received signals spatially with limited-diffraction array beams, their square-wave approximations, or spatial Fourier transform, and d) digitizing and then transferring received signals through high-speed optical fibers to a system for image reconstructions.