Computer Science – Information Theory
Scientific paper
2011-09-20
Computer Science
Information Theory
40 pages, 6 figures, 2 tables; Presented in part at 49th Allerton Conference on Communication, Control, and Computing, Sep, 20
Scientific paper
The $K$-user single-input single-output (SISO) AWGN interference channel and $2\times K$ SISO AWGN X channel in i.i.d. fading environment are considered where the transmitters have the delayed channel state information (CSI) through noiseless feedback links. It is known that both channels have no more than one degree of freedom (DoF) without CSI at transmitters. Transmission schemes based on a new multiphase interference alignment approach are proposed for these channels that achieve DoF values greater than one with delayed CSI at transmitters (delayed CSIT), except for the two-user interference channel. Moreover, the achieved DoFs are strictly increasing in $K$, and as $K\to \infty$, approach limiting values of ${\frac{4}{6\ln 2 -1}\approx 1.2663}$ and ${\frac{1}{\ln 2}\approx 1.4427}$ for interference and X channels, respectively. The achieved DoFs are greater than the best previously reported DoFs for these channels with delayed CSI at transmitters.
Abdoli Mohammad Javad
Ghasemi Akbar
Khandani Amir Keyvan
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