Wavelets for baseband coding of waveforms

We consider a novel baseband waveform coding technique based on wavelets. Wavelets are recognized for their temporal and spectral localization and for their orthogonality across scale and location. We exploit these fundamental properties of wavelets and propose a wavelet-based modulator-demodulator structure to improve communication efficiency. Numerical results for bandwidth occupancy and bandwidth efficiency are given, and a detailed comparison between different families of wavelets is presented. A codec based on the Battle-Lemarie wavelet is shown to outperform traditional BPSK-, QPSK- and MSK-based codecs as well as codecs based on Daubechies wavelets.

[1]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Richard S. Orr,et al.  Covert communications employing wavelet technology , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[3]  D. Cochran,et al.  Scale based coding of digital communication signals , 1992, [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis.

[4]  M. C. Tzannes,et al.  Bit-by-bit channel coding using wavelets , 1992, [Conference Record] GLOBECOM '92 - Communications for Global Users: IEEE.

[5]  P. P. Gandhi,et al.  On waveform coding using wavelets , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[6]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.