On the Use of Discrete Cosine Transforms for Multicarrier Communications
Autor: | Ángel M. Bravo-Santos, Fernando Cruz-Roldán, P. Amo-Lopez, Gabriela Sansigre Vidal, Manuel Blanco-Velasco, Maria Elena Dominguez-Jimenez |
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Rok vydání: | 2012 |
Předmět: |
Overlap–add method
Telecomunicaciones Modified discrete cosine transform Matemáticas 020208 electrical & electronic engineering Real-time computing 020206 networking & telecommunications Data_CODINGANDINFORMATIONTHEORY 02 engineering and technology Symmetric convolution Convolution Signal Processing Discrete frequency domain 0202 electrical engineering electronic engineering information engineering Discrete cosine transform Time domain Electrical and Electronic Engineering Convolution theorem Algorithm Computer Science::Information Theory Mathematics |
Zdroj: | IEEE Transactions on Signal Processing, ISSN 1053-587X, 2012-11, Vol. 60, No. 11 Archivo Digital UPM Universidad Politécnica de Madrid |
ISSN: | 1941-0476 1053-587X |
DOI: | 10.1109/tsp.2012.2210714 |
Popis: | 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 redun-dancy (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. |
Databáze: | OpenAIRE |
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