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In this paper, a fractional Fourier transform (FRFT) based technique for the elimination of amplitude and phase distortions in the transmultiplexer (TMUX) is presented. The core elements of the TMUX, the synthesis and analysis filter banks cause amplitude and phase changes due to the filtering operations in the filter banks thereby altering the perfect reconstruction property. This study investigates...
The uniform sampling theorem and the reconstruction formulae associated with the fractional Fourier transform (FrFT) have been deduced in the literature, but the nonuniform sampling is yet to receive attention in the fractional Fourier domain. This paper focus on a special kind of non-uniform sampling process associated with the fractional Fourier transform. A nonuniform sampling model is first introduced...
Sampling is one of the fundamental topics in the signal processing community. Theorems proposed under this topic form the bridge between the continuous-time signals and discrete-time signals. Several sampling theorems, which aid in the reconstruction of signals in the linear canonical transform (LCT) domain, have been proposed in the literature. However, two main practical issues associated with the...
Transmultiplexers, the basis of which is filter banks, have been successfully utilized for multiuser communications. One important limitation however, is the leakage of signal from one channel to another known as crosstalk. This occurs because the core elements, synthesis and analysis filters employed are nonideal. To minimize its effect has been the focus of transmultiplexer design. This study therefore...
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