Journal
IEEE WIRELESS COMMUNICATIONS LETTERS
Volume 9, Issue 8, Pages 1160-1163Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LWC.2020.2983367
Keywords
Eigenvalues and eigenfunctions; Prototypes; Shape; OFDM; Matrix decomposition; Demodulation; Condition number; GFDM matrix; noise enhancement
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Generalized frequency division multiplexing (GFDM) is a multicarrier system employing well-localized prototype filters to form the transmitted signal. However, because of the non-orthogonality of the waveform, the demodulation process of GFDM inherits a noise enhancement, which leads to the performance degradation. Eigenvalues of the GFDM matrix determine the level of noise enhancement. In this letter, by defining the condition number of the GFDM matrix as the noise enhancement factor (NEF), we derive a closed-form presentation of NEF criterion based on the prototype filter shape. We show that the value of NEF is independent of the number of subsymbols and subchannels, if they are even; contrarily, for odd numbers, a larger NEF is resulted as the number grows up.
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