According to one embodiment, a computer program product for denoising a signal comprises a computer readable storage medium having program instructions embodied therewith, wherein the computer readable storage medium is not a transitory signal per se, and where the program instructions are executable by a processor to cause the processor to perform a method comprising creating, utilizing a processor, a clean dictionary, utilizing a clean signal, creating, utilizing the processor, a noisy dictionary, utilizing a first noisy signal, determining, utilizing the processor, a time varying projection, utilizing the clean dictionary and the noisy dictionary, and denoising, utilizing the processor, a second noisy signal, utilizing the time varying projection.