Cochlea, known as `fourier analyzer' in auditory system of mammals, codes the mechanical wave to electrical signals tonotopically. Meanwhile, the auditory coder also works in temporal mode, where envelope (E, i.e. amplitude modulation (AM)) and temporal fine structure (TFS, i.e. frequency modulation (FM)) are both significant but not exactly defined. In several recent researches (e.g. [Smith, et. al, 2002]), hilbert transform (HT) was utilized to extract the E and TFS cues. Though HT is mathematically rigorous, it is lack of clear physical meaning on AM-FM. This research introduces the empirical mode decomposition (EMD) to auditory research field. EMD was designed for analysis of non-linear and non-stationary data including natural sound. It is observed that the outputs of a auditory filter (e.g. Gammachirp), which was born as narrow-band filters, are approximately intrinsic mode functions (IMF) that admit well-behaved hilbert transforms (implying having physical significance). However, non-narrow-band filter (NNBF) output can be decomposed into two obvious IMFs or more, implying that HT is not suited to NNBF. EMD with HT provides auditory researchers one more perspective on AM-FM decomposition of auditory signals.# This work is supported by National Natural Science Foundation of China (11104316) and Shanghai Natural Science Foundation (11ZR1446000).
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April 01 2012
Empirical AM-FM decomposition of auditory signals
Qinglin Meng;
Qinglin Meng
Shanghai Acoustics Laboratory, Chinese Academy of Sciences, No. 456, Xiaomuqiao Road, Shanghai, China, 200032, mengqinglin08@gmail.com
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Meng Yuan;
Meng Yuan
Shanghai Acoustics Laboratory, Chinese Academy of Sciences, No. 456, Xiaomuqiao Road, Shanghai, China, 200032, mengqinglin08@gmail.com
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Jianping Zhao;
Jianping Zhao
Shanghai Acoustics Laboratory, Chinese Academy of Sciences, No. 456, Xiaomuqiao Road, Shanghai, China, 200032, mengqinglin08@gmail.com
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Haihong Feng
Haihong Feng
Shanghai Acoustics Laboratory, Chinese Academy of Sciences, No. 456, Xiaomuqiao Road, Shanghai, China, 200032, mengqinglin08@gmail.com
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J. Acoust. Soc. Am. 131, 3268 (2012)
Citation
Qinglin Meng, Meng Yuan, Jianping Zhao, Haihong Feng; Empirical AM-FM decomposition of auditory signals. J. Acoust. Soc. Am. 1 April 2012; 131 (4_Supplement): 3268. https://doi.org/10.1121/1.4708214
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