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首页> 外文期刊>IEEE Transactions on Information Theory >On the capacity penalty due to input-bandwidth restrictions with an application to rate-limited binary signaling
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On the capacity penalty due to input-bandwidth restrictions with an application to rate-limited binary signaling

机译：关于由于输入带宽限制而导致的容量损失，并应用于速率受限的二进制信令

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摘要

It is well known that in cases of unlimited channel bandwidth and unconstrained signal spectrum, a constant-envelope constraint on the signal does not reduce the capacity of an additive Gaussian channel, as compared to its capacity with the optimum signals of similar average power. For band-limited channels of bandwidth B, however, the constant-envelope constraints does reduce the capacity, even if the signals themselves are allowed arbitrarily rapid alternations (transitions). Here, using a recently introduced technique, it is shown that the capacity is further drastically reduced if, in addition to the channel limitation, the constant-envelope signal is itself restricted to a small fractional out-of-band power epsilon . Ideal lowpass and bandpass channel filters are considered, and upper bounds on the capacity are derived. The out-of-band power restrictions can be met, for example, by restricting the average rate of transitions rho of the binary input signal. It is shown that in this case, epsilon >or=0.573 rho /B, which is a result used to upper-bound the capacity for binary signaling under an average-transition-rate constraint.
机译：众所周知，在信道带宽不受限制和信号频谱不受限制的情况下，与具有相同平均功率的最佳信号的容量相比，对信号的恒定包络约束不会降低其附加高斯信道的容量。但是，对于带宽为B的带宽受限的信道，即使信号本身被任意任意地快速交替（转换），恒定包络约束也确实会减小容量。在此，使用最近引入的技术表明，如果除了信道限制之外，将恒定包络信号本身限制为较小的带外功率ε，则进一步大大减小了容量。考虑理想的低通和带通信道滤波器，并得出容量的上限。例如，可以通过限制二进制输入信号的平均跃迁速率rho来满足带外功率限制。结果表明，在这种情况下，ε≥0.573 rho / B，这是在平均转换速率约束下用于上限二进制信令容量的结果。

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