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Information rates for a discrete-time Gaussian channel with intersymbol interference and stationary inputs

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3 Author(s)
Shamai, S. ; Dept of Electr. Eng., Technion, Haifa, Israel ; Ozarow, L.H. ; Wyner, A.D.

Bounds are presented on Ii.i.d.-the achievable information rate for a discrete Gaussian Channel with intersymbol interference (ISI) present and i.i.d. channel input symbols governed by an arbitrary predetermined distribution px(x). The lower and upper bounds on I i.i.d. and I are formulated. The bounds on Ii.i.d. are calculated for independent equiprobably binary channel symbols and for causal channels with ISI memory of degree one and two. The bounds on Ii.i.d. are compared to the approximated (by Monte Carlo methods) known value of Ii.i.d. and their tightness is considered. An application of the new lower bound on Ii.i.d. yields an improvement on previously reported lower bounds for the capacity of the continuous-time strictly bandlimited (or bandpass) Gaussian channel with either peak or simultaneously peak power and bandlimiting constraints imposed on the channel's input waveform

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 6 )