Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605242 | Applied and Computational Harmonic Analysis | 2013 | 18 Pages |
Abstract
In certain signal processing problems, it is customary to estimate parameters in distorted signals by approximating what is termed a cross ambiguity function and estimating where it attains its maximum modulus. To unify and generalize these procedures, we consider a generalized form of the cross ambiguity function and give error bounds for estimating the parameters, showing that these bounds are lower if we maximize the real part rather than the modulus. We also reveal a connection between these bounds and certain uncertainty principles, which leads to a new type of uncertainty principle.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis