Abstract: A range-resolved imaging method includes sampling a plurality of 3D Fourier components of a target with a plurality of frequency-shifted beams that pair-wise interfere at the target. Each of the plurality of frequency-shifted beams has been emitted by a respective transmitter of a sparse transmitter-array. The method also includes extracting amplitudes and phases of temporal oscillations of a detected signal back-scattered by the target in response to the pair-wise interference of the plurality of frequency-shifted beams. The amplitudes and phases correspond to selected 3D Fourier components of a plurality of temporal Fourier components of the detected signal. The method also includes assembling the amplitudes and the phases in a 3D spatial-frequency representation; and producing a range-resolved image of the target via Fourier synthesis of the 3D Fourier representation.

Abstract: Methods and systems are disclosed of sensing an object. A first radiation is spatially modulated to generate a structured second radiation. The object is illuminated with the structured second radiation such that the object produces a third radiation in response. Apart from any spatially dependent delay, a time variation of the third radiation is spatially independent. With a single-element detector, a portion of the third radiation is detected from locations on the object simultaneously. At least one characteristic of a sinusoidal spatial Fourier-transform component of the object is estimated from a time-varying signal from the detected portion of the third radiation.

Abstract: Methods and systems are disclosed of sensing an object. A first radiation is spatially modulated to generate a structured second radiation. The object is illuminated with the structured second radiation such that the object produces a third radiation in response. Apart from any spatially dependent delay, a time variation of the third radiation is spatially independent. With a single-element detector, a portion of the third radiation is detected from locations on the object simultaneously. At least one characteristic of a sinusoidal spatial Fourier-transform component of the object is estimated from a time-varying signal from the detected portion of the third radiation.