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A decomposition approach to CPM

机译：CPM的分解方法

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摘要

It is shown that any continuous-phase-modulation (CPM) system can be decomposed into a continuous-phase encoder and a memoryless modulator in such a way that the former is a linear (modulo some integer P) time-invariant sequential circuit and the latter is also time invariant. This decomposition is exploited to obtain alternative realizations of the continuous-phase encoder (and hence of CPM) and also to obtain alternative forms of the optimum decoding algorithm. When P is a prime p so that the encoder is linear over the finite field GF(p), it is shown that cascading it with an outside convolutional encoder is equivalent to a single convolutional encoder. It is pointed out that the cascade of the modulator, the waveform channel (which it is assumed is characterized by additive white Gaussian noise), and the demodulator that operates over one symbol interval yield a discrete memoryless channel that can be studied without the distractions introduced by continuous-phase encoding.
机译：结果表明，任何连续相位调制（CPM）系统都可以分解为连续相位编码器和无记忆调制器，使得前者是线性（模数为整数P）时不变的时序电路，而后者也是时间不变的。利用这种分解来获得连续相位编码器的替代实现（并因此获得CPM），并且还获得最佳解码算法的替代形式。当P是质数p时，编码器在有限域GF（p）上是线性的，这表明与外部卷积编码器级联等效于单个卷积编码器。需要指出的是，调制器的级联，波形通道（假定其具有加性高斯白噪声的特征）以及在一个符号间隔上工作的解调器会产生一个离散的无记忆通道，无需引入干扰即可对其进行研究。通过连续相位编码。

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