SSIM performance limitation of linear equalizers

The performance limitation of linear equalizers is studied for the structural similarity (SSIM) criteria. Given a blurring filter and an image with zero mean, the closed form formula is obtained to compute the maximal SSIM index and the corresponding optimal linear equalizer. The formula shows that the equalizer with maximal SSIM index is equal to the one with minimal mean square error (MSE) multiplied by a positive real number. Numerical examples are given to demonstrate the theoretical results.

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