Constructing Measures of Sparsity

This paper presents a rigorous but tractable study of sparsity. We postulate definition sparsity that is as broad possible, so it generates all the various measures are useful in practice, narrow enough fundamental properties generalized still hold. As we work through ways demonstrating advantageous sparsity, illustrate its meaning from geometrical and operational perspectives. Thereafter, construct specific which successfully qualified complexity analysis sparse optimization scenarios. Overall, our main objective to will facilitate enhance design next innovative sensing technologies.