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Multi-h CPM waveforms have been primarily used in satellite communications (MIL-STD-188-181B). In recent years, multih CPM has been getting more attention for use in a line of site (LOS) mode of operation. To improve the effectiveness of multi-h CPM waveforms in LOS, frequency hopping can be added to provide electronic counter-countermeasure capability for hostile environments and frequency diversity to combat multipath. This paper discusses some of the design aspects and a possible solution for a coherent frequency hopping multi-h CPM waveform that does not use pilot symbols. The performance of the hopping CPM 16k bps is expected to be approximately 6 dB better than fixed frequency 16 k FSK. The price for the improved capability is approximately twice the loading of existing multih CPM demodulation with a signal bandwidth of 35 kHz.