2017
DOI: 10.1109/lcomm.2017.2687926
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Optimal Radix-2 FFT Compatible Filters for GFDM

Abstract: For a linear waveform, a finite condition number of the corresponding modulation matrix is necessary for the waveform to convey the message without ambiguity. Based on the Zak transform, this letter presents an analytical approach to compute the condition number of the modulation matrix for the multi-carrier waveform generalized frequency division multiplexing (GFDM). On top, we further propose a filter design that yields non-singular modulation matrices for an even number of subcarriers and subsymbols, which … Show more

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Cited by 25 publications
(19 citation statements)
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“…Further details concerning the observed signal y cyclic,q can be found in the Appendix where we provide an algebraic proof that y cyclic,q experiences a circular channel matrix. In (26) and the rest of expressions in this section, the subscript b is ignored for brevity. Also note that in (26), the first L samples of the y cyclic,q are subject to noise variance 2σ 2 w , and therefore, if an N d point FFT size has been utilized, some noise correlation occurs in frequency domain.…”
Section: A Uw-free Equalizationmentioning
confidence: 99%
“…Further details concerning the observed signal y cyclic,q can be found in the Appendix where we provide an algebraic proof that y cyclic,q experiences a circular channel matrix. In (26) and the rest of expressions in this section, the subscript b is ignored for brevity. Also note that in (26), the first L samples of the y cyclic,q are subject to noise variance 2σ 2 w , and therefore, if an N d point FFT size has been utilized, some noise correlation occurs in frequency domain.…”
Section: A Uw-free Equalizationmentioning
confidence: 99%
“…For example, when FBMC is applied for opportunistic spectrum sharing, in order to avoid interfering with other bands, well localized filters in time and frequency are prone to be designed to minimize Out of Band [140]. Similarly, there are also some optimization based methods for different waveform candidates, for example, OFDM [154], FBMC [140,155,156], GFDM [158][159][160][161], UFMC [162,163]. In general, the establishment and constraints imposed on objective functions are often highly non-linear, which increases the computational complexity and also sensitive to the selection of initial values.…”
Section: Optimization Based Methodsmentioning
confidence: 99%
“…In the packet format that is shown in Figure , M =2 is considered for the training block, ie, the preamble, to reduce the overhead it imposes to the system, and according to our transceiver filters, odd values of M are considered for the payload. Furthermore, as shown in the work of Nimr et al, with proper filter design, even values of M can be used for the payload. To lower the CFO estimation complexity, we propose to utilize the same ZC training sequence on both symbols in the preamble to make the matrix X H X in diagonal.…”
Section: Proposed Joint Cfo and Channel Estimationmentioning
confidence: 99%