# PM Modulator Passband

Modulate using phase modulation

## Library

Analog Passband Modulation, in Modulation

## Description

The PM Modulator Passband block modulates using phase modulation. The output is a passband representation of the modulated signal. The output signal's frequency varies with the input signal's amplitude. Both the input and output signals are real scalar signals.

If the input is u(t) as a function of time t, then the output is

`$\mathrm{cos}\left(2\pi {f}_{c}t+{K}_{c}u\left(t\right)+\theta \right)$`

where

• fc represents the Carrier frequency parameter

• θ represents the Initial phase parameter

• Kc represents the Phase deviation parameter

An appropriate Carrier frequency value is generally much higher than the highest frequency of the input signal. By the Nyquist sampling theorem, the reciprocal of the model's sample time (defined by the model's signal source) must exceed twice the Carrier frequency parameter.

This block works only with real inputs of type `double`. This block does not work inside a triggered subsystem.

## Parameters

Carrier frequency (Hz)

The frequency of the carrier.

The initial phase of the carrier in radians.

The phase deviation of the carrier frequency in radians. This is sometimes referred to as the "variation" in the phase.

## Pair Block

PM Demodulator Passband

## Version History

Introduced before R2006a