Single-carrier frequency division multiple access with Discrete Cosine Transform Type-I

Cruz–Roldán, Fernando; Pinto-Benel, Freddy A.; Jiménez, María Elena Domínguez; Sansigre-Vidal, Gabriela

doi:10.1109/newcas.2015.7182111

Cited by 3 publications

(5 citation statements)

References 9 publications

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“…As OFDM systems present poor behaviour under carrier frequency offset, other multicarrier modulation (MCM) techniques have been investigated, which are related to other transformations different from DFT. Among them, the eight types of Discrete Cosine Transforms (DCTs) have been studied in the literature, and for each one of them the corresponding extension technique has been proposed [ 6 , 8 , 9 , 14 ]. These works focus on MCM signal reconstruction, and they provide good results due to the good properties of the DCTs.…”

Section: The Channel Estimation Problemmentioning

confidence: 99%

“…As we have already mentioned before, the interblock interference is eliminated by introducing as redundancy a left prefix x lp and also a right suffix x rs , both of length ν − 1, into each data symbol to be transmitted. In order to apply DCT1, it is proved in [ 9 , 14 ] that it suffices to consider the extended block x e in ( 3 ) with the choice of prefix x lp and suffix x rs as follows:

which means that we apply a whole-point symmetry (WS) on the left and on the right sides of the original symbol. Figure 2 illustrates an example of the WS symmetric extension of x .…”

Section: Channel Estimation In Dct1 Multicarrier Systemsmentioning

confidence: 99%

“…It is proved in [ 14 ] that the corresponding H equiv can be perfectly diagonalized via the DCT1:

and the diagonal elements of D eigenvalues of H equiv are themselves the DCT1 transform of the vector h ZP r :

where h ZP r stands for the half-right filter of h , padded with zeroes:

…”

Section: Channel Estimation In Dct1 Multicarrier Systemsmentioning

confidence: 99%

“…Some Discrete Cosine Transforms have been widely used in the context of multicarrier modulation (MCM), as an alternative to the DFT, due to their good properties (e.g., good performance under carrier frequency offset) [ 6 – 13 ]. In particular, in a very recent work [ 14 ] the DCT1 is applied for MCM communications. The main advantages of the DCT1 are as follows: The inverse of the DCT1 is the same transform DCT1, up to a scaling factor; so we can use the same transform at both the transmitter and the receiver [ 15 ].…”

Section: Introductionmentioning

confidence: 99%

“…This is analogous to the circular convolution property of the DFT. This is a key property for signal reconstruction in MCM communications [ 14 ].…”

Section: Introductionmentioning

confidence: 99%

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Estimation of Symmetric Channels for Discrete Cosine Transform Type‐I Multicarrier Systems: A Compressed Sensing Approach

Jiménez

Luengo

Sansigre-Vidal

2015

The Scientific World Journal

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The problem of channel estimation for multicarrier communications is addressed. We focus on systems employing the Discrete Cosine Transform Type-I (DCT1) even at both the transmitter and the receiver, presenting an algorithm which achieves an accurate estimation of symmetric channel filters using only a small number of training symbols. The solution is obtained by using either matrix inversion or compressed sensing algorithms. We provide the theoretical results which guarantee the validity of the proposed technique for the DCT1. Numerical simulations illustrate the good behaviour of the proposed algorithm.

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Section: The Channel Estimation Problemmentioning

confidence: 99%

which means that we apply a whole-point symmetry (WS) on the left and on the right sides of the original symbol. Figure 2 illustrates an example of the WS symmetric extension of x .…”

Section: Channel Estimation In Dct1 Multicarrier Systemsmentioning

confidence: 99%

“…It is proved in [ 14 ] that the corresponding H equiv can be perfectly diagonalized via the DCT1:

and the diagonal elements of D eigenvalues of H equiv are themselves the DCT1 transform of the vector h ZP r :

where h ZP r stands for the half-right filter of h , padded with zeroes:

…”

Section: Channel Estimation In Dct1 Multicarrier Systemsmentioning

confidence: 99%