A New Method for Super-resolution
نویسندگان
چکیده
This paper presents a new, non-iterative method for super-resolution which we call the direct method. By exploiting the inherent structure of the discrete signal processing environment, the super-resolution problem can be reduced to solving a linear set of equations which relate known frequency samples to unknown time or space domain samples. The direct method is based on this concept and also employs SVD (singular value decomposition) techniques to minimize errors in the solution due to noise and aliasing errors on the known frequency samples. It is shown that the direct method is essentially a non-iterative implementation of the discrete Gerchberg algorithm. The new direct method has been implemented in both one and two dimensions and a one dimensional example is included herein.
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