# Documentation

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# DSB AM Modulator Passband

Modulate using double-sideband amplitude modulation

## Library

Analog Passband Modulation, in Modulation

## Description

The DSB AM Modulator Passband block modulates using double-sideband amplitude modulation. The output is a passband representation of the modulated signal. 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

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

where:

• k is the Input signal offset parameter.

• fc is the Carrier frequency parameter.

• θ is the Initial phase parameter.

It is common to set the value of k to the maximum absolute value of the negative part of the input signal u(t).

Typically, an appropriate Carrier frequency value is 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

Input signal offset

The offset factor k. This value should be greater than or equal to the absolute value of the minimum of the input signal.

Carrier frequency (Hz)

The frequency of the carrier.

The initial phase of the carrier.

## Pair Block

DSB AM Demodulator Passband