On the time-frequency localization of the wavelet signals, with application to orthogonal modulations

Orthogonal modulations are powerful techniques for digital data transmission, very well suited to radio channels. They use orthogonal basis, whose elements will be the ldquosubcarriersrdquo used in transmission. Some advantages of the wavelet functions compared to the windowed complex exponentials used in orthogonal frequency division multiplexing (OFDM) are highlighted. Thus, theoretical proof that Daubechies wavelets have better time-frequency localization is provided, opening new paths towards modern orthogonal modulation approaches, based on wavelets.