Multirate systems and filter banks
Multirate systems and filter banks
Gabor Analysis and Algorithms: Theory and Applications
Gabor Analysis and Algorithms: Theory and Applications
Convex Optimization
Efficient design of cosine-modulated filter banks via convex optimization
IEEE Transactions on Signal Processing
Discrete Zak transforms, polyphase transforms, and applications
IEEE Transactions on Signal Processing
Tight Weyl-Heisenberg frames in l2(Z)
IEEE Transactions on Signal Processing
DFT-modulated filterbank transceivers for multipath fading channels
IEEE Transactions on Signal Processing
Efficient design of oversampled NPR GDFT filterbanks
IEEE Transactions on Signal Processing
Frequency domain equalization for single-carrier broadband wireless systems
IEEE Communications Magazine
Nonorthogonal pulseshapes for multicarrier communications in doubly dispersive channels
IEEE Journal on Selected Areas in Communications
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We adopt the concept of channel diagonalization to time-frequency signal expansions obtained by DFT filter banks. As a generalization of the frequency domain channel representation used by conventional orthogonal frequency-division multiplexing receivers, the time-frequency domain channel diagonalization can be applied to time-variant channels and aperiodic signals. An inherent error in the case of doubly dispersive channels can be limited by choosing adequate windows underlying the filter banks. We derive a formula for the mean-squared sample error in the case of wide-sense stationary uncorrelated scattering (WSSUS) channels, which serves as objective function in the window optimization. Furthermore, an enhanced scheme for the parameterization of tight Gabor frames enables us to constrain the window in order to define paraunitary filter banks. We show that the design of windows optimized for WSSUS channels with known statistical properties can be formulated as a convex optimization problem. The performance of the resulting windows is investigated under different channel conditions, for different oversampling factors, and compared against the performance of alternative windows. Finally, a generic matched filter receiver incorporating the proposed channel diagonalization is discussed which may be essential for future reconfigurable radio systems.