| Paper: | SPTM-P6.8 | ||
| Session: | Non-Stationary Signal Analysis and Modeling | ||
| Time: | Thursday, May 20, 09:30 - 11:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Non-stationary Signals & Time-Frequency Analysis | ||
| Title: | HOMOMORPHIC MODULATION SPECTRA | ||
| Authors: | Les Atlas; University of Washington | ||
| Qin Li; University of Washington | |||
| Jeffrey Thompson; University of Washington | |||
| Abstract: | Physical evidence points to the importance of a concept called “modulation frequency.” This dimension exists jointly with standard Fourier or acoustic frequency. Thus, akin to other time varying analysis, we seek a two-dimensional representation, the “modulation spectrum,” where the first dimension is the well known acoustic frequency and the second dimension is modulation frequency. We describe some deficiencies in previousdiscussions of this concept, and then address those deficiencies via a homomorphic approach. We also reduce previous difficulties in homomorphic demultiplication by integrating this processing into modulation spectra and, in particular, show how the assumption of analytic and relatively narrowband sub-bands allows more accurate and practical use of homomorphic demultiplication. Lastly, we show how an unambiguousdemultiplication concept is only consistent with complex modulator envelopes. The assumption of complex envelopes isnecessary for accurate modulation spectral analysis and filtering. | ||
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