针对多调制指数连续相位调制(Multi-h CPM)信号给出了卷积编码、随机符号交织器串行级联系统的迭代检测，研究了针对Multi-h CPM信号的逐符号最大后验概率(MAP)检测算法及不同系统参数下的迭代检测性能。最后提出在频率脉冲截断(FPT)的基础上使用奇异值分解(SVD)的联合降复杂度算法，有效简化了部分响应多指数CPM信号的状态转移网格以及接收端的匹配滤波器。在高斯白噪声信道下，针对第二代遥测新体制(Tier2)信号进行仿真，与相同码率及码长的低密度奇偶校验(LDPC)编码系统相比，串行级联系统有着3.5 dB的性能增益。最后采用本文提出的联合降复杂度算法，能够将Tier2信号的网格状态数由256简化到64，匹配滤波器个数由64降到2，而由此带来的迭代检测性能损失却可以忽略不计。

Iterative detection for serially concatenated convolutional code with random symbol-wise interleaver and Multi-h Continuous Phase Modulation(Multi-h CPM) is proposed. The symbol-by-symbol Maximum A Posteriori(MAP) detector and its system parameters for Multi-h CPM are designed. A scheme of associated Singular Value Decomposition(SVD) with Frequency Pulse Truncation(FPT) is used for reducing the complexity of states trellis as well as the number of matched filters. The simulations of the 2nd new telemetry scheme(Tier2) show that the proposed system has the gain of 3.5 dB than the Low-Density Parity-Check(LDPC) code which has the same code length and code rate. By using the proposed scheme, the numbers of trellis states and matched filters are reduced to 64 and 2 respectively(from 256 and 64 respectively), however the performance loss compared with the optimum iterative detector is negligible.