A new approach for designing orthogonal wavelets for multicarrier applications

Abstract

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

“…We follow the FDE equalization method described in [18]. If the wavelet-transformed signal is s(t), then an FFT will be required to obtain the frequency domain…”

“…The performance bound of wavelet-based multicarrier system has been studied in [18] using the Cramer Rao Lower Bound (CRLB) of estimation theory. Let the transmit symbol be estimated from Equation (14) as:…”

“…If φ(t) is spread over the wide-spectrum of interest, then there are narrowband functions ψ(t) derivable from φ(t); these are orthogonal wavelets used in our multicarrier system design. Thus, if ψ l,m (t) belongs to a set of orthonormal functions, then [18];…”

“…In [18], the wavelet multicarrier system has been implemented over multicarrier environment. Figure 3 shows a schematic design of the multicarrier modulation transceiver using WT over a multipath channel.…”

“…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.…”