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I am going to start my research on digital image restoration, I just want to know that should i learn the course digital signal processing before starting my research.

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My advice would be: do not delay the start of your research, but integrate the study of signal processing basics in the time you have for your research. Basic signal processing knowledge is essential for a proper understanding of the methods of digital image restoration. Divide your time between learning any basic knowledge you might be missing, and studying specific literature on image restoration.

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