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A. Goldsmith and M. Effros, "The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise," IEEE Trans. Inform. Theory, vol. 47, pp. 211--219, Jan. 2001.

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Trellis Precoding for the Broadcast Channel - Yu, Cioffi   (9 citations)  (Correct)

....version of each other. Also, because the channel matrices H 1 and H 2 may not have the same eig vectors, they cannot be decomposed into parallel independentdeg raded broadcast channels ing eral. An important exception is the ISI channel which can be decomposed by a discrete Fourier transform [4]. Nevertheless, the dirty paper result may beg eneralized to the vector case to implement interference pre subtraction at the transmitter. Lemma 1: Consider the channel y k = x k s k n k , where s k and n k are independent i.i.d. vector Gaussian processes. Suppose that non causal ....

A.J. Goldsmith and . E#ros, "The capacity region of broadcast channels with intersymbol interference and colored Gau ssian noise," IEEE Trans. Inform. Theory, vol. 47, no. 1, pp. 211--219, Jan. 2001.


On the Duality of Gaussian Multiple-Access and Broadcast .. - Jindal, Vishwanath.. (2004)   (2 citations)  Self-citation (Goldsmith)   (Correct)

....less than the downlink sum rate capacity. H. Frequency Selective Channels Duality easily extends to frequency selective (intersymbol interference (ISI) channels as well. BCs and MACs with time invariant, finite length impulse responses and additive Gaussian noise were considered in [14] [15]. The dual channels have the same impulse response on the uplink and downlink, and the same noise power at each receiver. Similar to flat fading channels, frequency selective channels can be decomposed into a set of parallel independent channels, one for each frequency. Using the duality of each ....

A. Goldsmith and M. Effros, "The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise," IEEE Trans. Inform. Theory, vol. 47, pp. 211--219, Jan. 2001.


Capacity and Optimal Power Allocation for Fading Broadcast.. - Jindal, Goldsmith (2001)   (1 citation)  Self-citation (Goldsmith)   (Correct)

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A. Goldsmith and M. Effros, "The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise", IEEE Trans. Inform. Theory, vol. 47, pp. 219-240, Jan. 2001.


Capacity and Optimal Power Allocation for Fading Broadcast.. - Jindal, Goldsmith (2001)   (1 citation)  Self-citation (Goldsmith)   (Correct)

....which is allocated to every fading state. When maximizing ergodic capacity for the broadcast channel without minimum rates, only one of the two users may be allocated power in some fading states, so superposition coding may only be necessary a fraction of the time, as detailed in Section VI of [2]. With minimum rates, however, both users must receive power in every fading state, and therefore superposition coding is necessary in all fading states. C. Greedy Interpretation In recent work on the capacity of the broadcast channel [4, 7] a greedy interpretation of the optimal power ....

A. Goldsmith and M. Effros, "The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise", IEEE Trans. Inform. Theory, vol. 47, pp. 219-240, Jan. 2001.


Capacity and Optimal Power Allocation for Fading Broadcast.. - Jindal, Goldsmith   (1 citation)  Self-citation (Goldsmith)   (Correct)

....solution is identical to the optimal power allocation scheme of the general broadcast channel [1] based on effective noise rather than actual noise. It is useful to consider the flat fading scenario we discuss in this paper as a special case of the frequency selective broadcast channel analyzed in [5] to gain some understanding of two level water filling. We see that water level 1 is used for channels that are filled on n 0 1 and 2 is used for n 0 2 channels. Fig. 1 illustrates a four fading state example where 2 1 . Note that (14) does not specify the distribution of power ....

....is allocated power in some states, but let us not forget that we are discussing only the allocation of power in addition to the the minimum power which is required in each fading state. Both users must receive power in every fading state, and therefore, in contrast to the broadcast strategy in [5], superposition coding is necessary in all fading states. In recent work on the broadcast channel [2, 4] a greedy interpretation of the optimal power allocation scheme is derived. We now use the same approach to solve the minimum rate problem. To use the greedy approach, we must reformulate our ....

A. Goldsmith and M. Effros, "The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise", IEEE Trans. Inform. Theory, vol. 47, pp. 219-240, Jan. 2001.

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