On the Use of Discrete Cosine Transforms for Multicarrier Communications Articles uri icon

authors

  • CRUZ ROLDAN, FERNANDO
  • DOMINGUEZ JIMENEZ, MARIA ELENA
  • SANSIGRE VIDAL, GABRIELA
  • AMO LOPEZ, PEDRO
  • BLANCO VELASCO, MANUEL
  • BRAVO SANTOS, ANGEL MARIA

publication date

  • November 2012

start page

  • 6085

end page

  • 6090

issue

  • 11

volume

  • 60

international standard serial number (ISSN)

  • 1053-587X

electronic international standard serial number (EISSN)

  • 1941-0476

abstract

  • In this correspondence, the conditions to use any kind of discrete cosine transform (DCT) for multicarrier data transmission are derived. The symmetric convolution-multiplication property of each DCT implies that when symmetric convolution is performed in the time domain, an element-by-element multiplication is performed in the corresponding discrete trigonometric domain. Therefore, appending symmetric redundancy (as prefix and suffix) into each data symbol to be transmitted, and also enforcing symmetry for the equivalent channel impulse response, the linear convolution performed in the transmission channel becomes a symmetric convolution in those samples of interest. Furthermore, the channel equalization can be carried out by means of a bank of scalars in the corresponding discrete cosine transform domain. The expressions for obtaining the value of each scalar corresponding to these one-tap per subcarrier equalizers are presented. This study is completed with several computer simulations in mobile broadband wireless communication scenarios, considering the presence of carrier frequency offset (CFO). The obtained results indicate that the proposed systems outperform the standardized ones based on the DFT.