Comparison of orthogonal and biorthogonal wavelets for multicarrier systems

A new approach for designing orthogonal wavelets for multicarrier applications

“…This was due to the authors only studying biorthogonal wavelets, which lack the necessary orthogonality for signal transmissions. Another class of wavelets, orthogonal wavelets, was not considered, and now it has been realised that they can be used in the design of MCSs with better BER than the biorthogonal wavelets [4]. Examples of well-known orthogonal wavelets are Daubechies, coiflet, symlet and Haar wavelets.…”

PAPR reduction of wavelet-OFDM systems using pilot symbols

“…The problem with the type of wavelets described in [7], [8] is that the data symbols must be real, thus the peak-to-average power ratio (PAPR) will be surely higher than that of the conventional OFDM systems [8], [11]. Beyond this, in the literature, there are many different kernels and filters [12]- [18] that implement wavelets whose input signals may not be restricted to real data symbols only. Such wavelets can dispense with better PAPR performance than FFT-OFDM (e.g.…”

“…These have not been explored comprehensively, for example in terms of PAPR reduction capabilities. Different wavelet families [18] can be implemented in terms of discrete wavelet transform (DWT) or wavelet packet transform (WPT) [20]. We will adopt the WPT approach which achieves full realization of subcarriers with minimum decomposition levels unlike the DWT approach.…”

On the Application of Raised-Cosine Wavelets for Multicarrier Systems Design

“…Sometimes, the wavelet filters may be independent of one another, and so does not provide necessary orthogonal requirements to construct multicarrier systems so that perfect reconstruction is not attained after passing the signal through multipath channel. These are mostly called the biorthogonal wavelets [11]. Thus, the multicarrier systems design using wavelets involves using different filters.…”

“…Since then, no account has detailed its application, for instance in the design of multicarrier systems. Although traditional wavelets exist (see [11] and references therein), attempts like in [16][17][18] have pursued the construction of additional wavelets using different filter approximations.…”