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The new model introduced here is called the composite Volterra model and it requires a moderate memory length and deals with the extended ISI using a linear model.
where is the memory length and are binomial coefficients where [14] (2.18).
However, in practice, the memory length and the starting points of sub-signals are unknown in advance.
On the other hand, with a FF close to unity, the algorithm has wider memory length and needs rather a relatively long time to estimate the unknown coefficients.
This could be due to better match between the channel memory length and the q-ary symbol length in bits, for p ν + 1 ≥ 1.
The computational complexity of this joint equalizer and decoder, however, is not only exponentially related to the channel memory length and the encoder constraint length, but also to the interleaver depth.
Similar(52)
where h l [k] is the l th channel coefficient of the equivalent discrete-time channel model with effective channel memory length L, and n[k] is a Gaussian noise sample with zero mean and variance σ n 2. The noise process is assumed to be white.
The number of super-trellis states for an interleaver depth of D=d n, channel memory length L−1, and encoder constraint length K, is M=2 D(L−1)+(K−1).
where h l [ k] is the l th channel coefficient of the equivalent discrete-time channel model with channel memory length L and n[ k] is a zero mean Gaussian noise sample.
We consider three different PR channels having different memory length ν and channel responses h(D) as in the following: h PR 4 ( D ) = 1 + D 2 h EPR 4 ( D ) = 1 + D − D 2 − D 3 h EEPR 4 ( D ) = 1 + 2 D − 2 D 3 − D 4 (25).
The value, K, of the proposed Kernel function (Equation 2) in map coordinate position u, has two user-defined parameters, memory length, L, and smoothing, S, which is the ratio between the areas assigned to two consecutive Markov orders (e.g. S = 2 implies the kernel density area assigned to order i ≤ L-1 is twice the area assigned to order i-1).
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