Abstract
Noise mitigation is critical in a myriad of scientific disciplines and applications, including spectroscopy, telecommunication, and sensing. The task is particularly difficult when working in the Fourier (frequency) domain. This study presents a methodology to redistribute the energy of a spectrally periodic wave along its frequency spectrum, in noiseless fashion, to obtain a new set of waveforms with higher spectral peak power over the input noise floor. The mechanism of passive amplification is based on an elegant, powerful generalization of the spectral Talbot effect, and it enables interesting capabilities for noise reduction in important applications.
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