| Title | The homomorphic analytic signal |
| Publication Type | Journal Article |
| Year of Publication | 1997 |
| Authors | Poletti, M.A. |
| Journal | IEEE Transactions on Signal Processing |
| Volume | 45 |
| Issue | 8 |
| Pagination | 1943 - 1953 |
| Date Published | 1997 |
| ISSN | 1053587X (ISSN) |
| Keywords | Homomorphic analytic signal, MATHEMATICAL MODELS, Poles and zeros, Signal processing |
| Abstract | This paper introduces an alternative form of analytic signal that is formed using homomorphic signal processing techniques. It may be generated for signals that demonstrate redundancy in their pole-zero distributions, such as phase signals and real signals. The analytic signal is formed by manipulating the positions of the signal's nonminimum phase poles and zeros to create a minimum phase signal. A factorization of real signals is presented that demonstrates the properties of the homomorphic analytic signal, and a new definition of instantaneous frequency is developed. Examples are given to verify the theory and comparisons with the linear analytic signal, and instantaneous frequency are made. © 1997 IEEE. |
| URL | http://www.scopus.com/inward/record.url?eid=2-s2.0-0031197457&partnerID=40&md5=4ec6df518831161fbb75f855481af40e |
| DOI | 10.1109/78.611186 |
