Discrete Entropic Uncertainty Relations Associated with FRFT
Discrete Entropic Uncertainty Relations Associated with FRFT作者机构：Navgation department of Dalian Naval Academy Dalian China 116018. Ocean department of Dalian Naval Academy Dalian China 116018
出 版 物：《Journal of Signal and Information Processing》 (信号与信息处理（英文）)
年 卷 期：2013年第4卷第3期
页 面：120-124页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Discrete Fractional Fourier Transform (DFRFT) Uncertainty Principle Rényi Entropy Shannon Entropy
摘 要：Based on the definition and properties of discrete fractional Fourier transform (DFRFT), we introduced the discrete Hausdorff-Young inequality. Furthermore, the discrete Shannon entropic uncertainty relation and discrete Rényi entropic uncertainty relation were explored. Also, the condition of equality via Lagrange optimization was developed, as shows that if the two conjugate variables have constant amplitudes that are the inverse of the square root of numbers of non-zero elements, then the uncertainty relations reach their lowest bounds. In addition, the resolution analysis via the uncertainty is discussed as well.
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