Technical Program

Paper Detail

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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