Name
Title | ||
|---|---|---|
Analytic Sampling Approximation By Projection Operator With Application In Decomposition Of Instantaneous Frequency |
Abstract | ||
|---|---|---|
A sequence of special functions in Hardy space H-2(T-s) are constructed from Cauchy kernel on unit disk D. Applying projection operator of the sequence of functions leads to an analytic sampling approximation to f, any given function in H-2(T-s). That is, f can be approximated by its analytic samples in D-s. Under a mild condition, f is approximated exponentially by its analytic samples. By the analytic sampling approximation, a signal in H-2(T) can be approximately decomposed into components of positive instantaneous frequency. Using circular Hilbert transform, we apply the approximation scheme in H-s(T-s) to L-s(T-2) such that a signal in L-s(T-2) can be approximated by its analytic samples on C-s. A numerical experiment is carried out to illustrate our results. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1142/S0219691313500409 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
Hardy space, Cauchy kernel, analytic sampling approximation, instantaneous frequency, Hilbert transform | Journal | 11 |
Issue | ISSN | Citations |
5 | 0219-6913 | 1 |
PageRank | References | Authors |
0.39 | 13 | 2 |