The argument that a non-coherent receiver can achieve capacity in
a infinite bandwith multipath fading channel is
attributed to Kennedy:
R. Kennedy, Fading Dispersive Communication Channels, Wiley, 1969.
A nice discussion of this result can be found in Section 8.6 of :
R. Gallager, Information Theory and Reliable Communication,
Wiley, 1968.
The argument presented in class is based on a proof in:
I. Telatar and D. Tse, "Capacity and mutual information of wideband
multipath fading channels," IEEE Trans. on
Information Theory, Vol. 46, July 2000.
The effect of signal burstiness on the infinite bandwidth capacity
is discussed in the above paper by Telatar and Tse as
well as:
M. Medard and R. Gallager, "Bandwidth scaling for Fading Multipath
Channels," IEEE Trans. on
Information Theory, Vol. 48, April 2002.
V. Subramanian and B. Hajek, "Broad-band fading Channels: Signal
Burstiness and Capacity," IEEE Trans. on
Information Theory, Vol. 48, April 2002.
B. Hajek and V. Subramanian, "Capacity and Reliability for Small
Peak Signal Constraints," IEEE Trans. on
Information Theory, Vol. 48, April 2002.
Section 3.4.2 of the notes by Tse and Viswanath discuss the Rake
receiver for a wideband DS-CDMA system.
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