The present disclosure provides systems and methods for imaging based on the generation and use of mismatched coded excitation signals. Cross-correlation properties of the received signal reveal the location and/or timing and/or properties of the source. The use of mismatched signals enables spatial and/or temporal and/or functional encoding of the transmitted signals. In some embodiments, high-speed imaging may be performed by employing mismatched codes for spatial and/or temporal encoding, and by employing a subset of transducer elements as transmitters, and another subset of elements as receivers. Various example embodiments of different types of mismatched codes are provided, including codes that employ multiple frequency chirps, codes that employ concatenated multi-frequency binary phase-coded waveforms, and chirped binary phase-coded waveforms.
