Title :
Statistical behavior of wavelet transmultiplexers in arbitrary synchronization states
Author :
Lyall, Michael J. ; Orr, Richard S.
Author_Institution :
Atlantic Aerosp. Electron. Corp., Greenbelt, MD, USA
Abstract :
Wavelet transmultiplexers based on orthogonal perfect reconstruction filter banks can play a role in channel encoding for digital communications. Synchronization of the receive end of the transmultiplexer is needed for reliable communication, imposing certain requirements for acquisition and tracking. Consequently, the response of the transmultiplexer in out-of-synchronization states is of interest in developing ways to acquire and track. We prove that a two-band, J-stage wavelet transmultiplexer based on a perfect reconstructing, orthonormal filter bank maps stationary, uncorrelated white input processes into stationary, zero-mean, uncorrelated white output processes, independent of the synchronization state
Keywords :
band-pass filters; channel coding; correlation methods; digital communication; encoding; filtering theory; signal reconstruction; statistical analysis; synchronisation; transfer functions; transmultiplexing; wavelet transforms; acquisition; channel encoding; correlation transfer functions; digital communications; orthogonal perfect reconstruction filter banks; stationary input processes; statistical behavior; synchronization states; tracking; uncorrelated white input processes; wavelet transmultiplexers; zero-mean uncorrelated white output processes; Digital communication; Discrete wavelet transforms; Filter bank; Propagation delay; Signal analysis; Signal synthesis; Wavelet analysis; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.543948
