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The degrees of freedom (dof) regions are characterized for the multiple-input multiple-output (MIMO) broadcast channel (BC), the interference channel (IC), and the cognitive radio channel (CRC) when there is perfect and no channel state information at the receivers and the transmitter(s) (CSIR and CSIT), respectively. For the K-user MIMO BC, the exact(More)
The degrees of freedom (DoF) region of the two-user multiple-input multiple-output (MIMO) interference channel (IC) is studied under the assumptions of fast fading and delayed channel state information (CSI) at the transmitters (CSIT). Under our fast fading assumption, the channel matrices vary independently across time, so that delayed CSIT is equivalent(More)
The degree-of-freedom (DoF) regions are characterized for the multiple-input multiple-output (MIMO) broadcast channel (BC), interference channels (ICs), including X and multihop ICs, and the cognitive radio channel (CRC), when there is no channel state information at the transmitter(s) (CSIT) and for fading distributions in which transmit directions are(More)
—The problem of Dirty Paper Coding (DPC) over the Fading Dirty Paper Channel (FDPC) Y = H(X + S) + Z, a more general version of Costa's channel, is studied for the case in which there is partial and perfect knowledge of the fading process H at the transmitter (CSIT) and the receiver (CSIR), respectively. A key step in this problem is to determine the(More)
The two-user multiple-input multiple-output (MIMO) interference and cognitive radio channels are considered, where the <i>i</i>th transmitter and the <i>i</i>th receiver have <i>M</i><sub>i</sub> and <i>N</i><sub>i</sub> antennas, respectively. In particular, the degrees of freedom (DoF) regions of these channels are studied under the assumption of having(More)
—We study the layered two-hop, two-unicast multi-input, multi-output (MIMO) interference network, which consists of two transmitters, two relays, and two receivers with the first and the second hop networks between transmitters and relays, and between relays and receivers, respectively, both being Gaussian MIMO interference channels. The DoF region is(More)
The degrees of freedom (DoF) region of the fast-fading MIMO (multiple-input multiple-output) Gaussian broadcast channel (BC) is studied when there is delayed channel state information at the transmitter (CSIT). In this setting, the channel matrices are assumed to vary independently across time and the transmitter is assumed to know the channel matrices with(More)
The 2&#x00D7;2&#x00D7;2 interference network, which is a layered two-hop, two-user interference channel, consists of two transmitters, two relays, and two receivers with both the first hop network between the transmitters and the relays and the second hop network between the relays and the receivers being i.i.d. Rayleigh fading Gaussian interference(More)
The degrees of freedom (DoF) region of the K-user MIMO (multiple-input multiple-output) Gaussian broadcast channel (BC) is studied under i.i.d. fading when there is delayed channel state information at the transmitter (CSIT). The general case of the MIMO BC is considered where each terminal has an arbitrary number of antennas. The delayed CSIT assumption is(More)