Orthonormal bases with nonlinear phases

For adaptive representation of nonlinear signals, the bank M of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the analytic signal method is investigated. A particular class of functions with explicit expressions in M is obtained using recent results on the Bedrosian identity. We then construct orthonormal bases for the Hilbert space of real square integrable functions with the basis functions from M.

• Type: Journal
• Year: 2010
• Where: ADCM
• Authors: Tao Qian, Rui Wang, Yuesheng Xu, Haizhang Zhang
• Keywords: ADCM 2010, Nonnegative Instantaneous Frequencies, Real Square, Square Integrable Functions