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Continuous phase modulation CPM is a method for modulation of data commonly used in wireless modems. In contrast to other coherent digital phase modulation techniques where the carrier phase abruptly resets to zero at the start of every symbol e.g. M- PSK, with CPM the carrier phase is modulated in a continuous manner.

Plot the phase tree diagram for signals that have applied continuous phase modulation CPM. A phase tree diagram superimposes many curves, each of which plots the phase of a modulated signal over time. The distinct curves result from different inputs to the modulator. This example defines settings for the CPM modulator, applies symbol mapping, and plots the results. Each curve represents a

In order to further improve bandwidth efficiency, some of the mobile radio systems use special kind of frequency modulation schemes called continuous phase modulation - CPM. The schemes are particularly attractive because they have constant envelope and excellent spectral characteristics resulting from phase changes in a continuous manner.

CPM Pulse Shape Filtering The CPM method uses pulse shaping to smooth the phase transitions of the modulated signal. The function q t is the phase response obtained from the frequency pulse, g t, through this relation q t t g t d t. The specified frequency pulse shape corresponds to these pulse shape expressions for g t.

SV8 Continuous Phase Modulation Many digital modulation techniques result in a transmitted signal which - depending on the data to be transmitted - might change abruptly. This leads to detrimental spectral characteristics e.g., poor spectral e ciency. In contrast, continuous phase modulation CPM modulates the data bits in a continuous manner and has therefore a high spectral

The comm.CPMModulator System object modulates an input signal using the continuous phase modulation CPM method. The output is a baseband representation of the modulated signal. For more information about the modulation and filtering applied, see CPM Method and Pulse Shape Filtering. To modulate a signal using the CPM method

Continuous-Phase Modulation CPM CPFSK is a special case of CPM When hk h for all k, the modulation index is fixed for all symbols. When the modulation index varies from one symbol to another, the signal is called multi-h CPM. If gt 0 for t gt T , the signal is called full-response CPM.

The continuous phase modulation CPM signal has the characteristics of continuous phase, excellent spectral properties, less out-band radiation, and constant envelope.

Pierre Laurent, Exact and approximate construction of digital phase modulations by superposition of amplitude modulated pulses AMP, IEEE Trans. on Communications, vol. 34, no. 2, 1986.

The continuous phase modulation results in a constant envelope waveform, meaning that the transmitted carrier power remains constant throughout. Phase Memory Each symbol in CPM is modulated by gradually changing the phase of the carrier from its initial value to the final value over the symbol duration.