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The cutoff rates thus obtained are plotted in Figure 2 as a function of SNR, for some M, N, m, and n values.
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We compute the ergodic cutoff rate for this scenario.
The cutoff rate of the system is still limited by the physical constraints of the codes.
When implemented correctly, both methods provide very similar results in terms of maximizing the cutoff rate.
Specific code matrices are constructed and optimized based on the cutoff rate.
In particular, we derive a numerical evaluation method for the cutoff rate of the GSC systems.
The diversity transform can be optimized with respect to the cutoff rate using either one of the aforementioned methods.
Unfortunately, matrices that minimize Equation 21, and hence optimize the cutoff rate, do not admit a closed form solution.
Alternatively, we shall employ the cutoff rate as a measure with respect to which the diversity transform is optimized.
The channel cutoff rate R0 is a lower bound on the Shannon channel capacity C. Its usage in place of capacity often leads to tractable results.
Nice improvement in cutoff rate is observed with a transformation order of N=3 compared to the uncoded scheme (corresponding to N=1).
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