# Documentation

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# pammod

Pulse amplitude modulation

## Syntax

```y = pammod(x,M) y = pammod(x,M,ini_phase) y = pammod(x,M,ini_phase,symbol_order) ```

## Description

`y = pammod(x,M)` outputs the complex envelope `y` of the modulation of the message signal `x` using pulse amplitude modulation. `M` is the alphabet size. The message signal must consist of integers between 0 and `M-1`. The modulated signal has a minimum Euclidean distance of 2. If `x` is a matrix with multiple rows, the function processes the columns independently.

`y = pammod(x,M,ini_phase)` specifies the initial phase of the modulated signal in radians.

`y = pammod(x,M,ini_phase,symbol_order)` specifies how the function assigns binary words to corresponding integers. If `symbol_order` is set to `'bin'` (default), the function uses a natural binary-coded ordering. If `symbol_order` is set to `'gray'`, it uses a Gray constellation ordering.

## Examples

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Generate random data symbols and apply pulse amplitude modulation.

Set the modulation order.

```M = 8; ```

Generate random integers and apply PAM modulation having an initial phase of /4.

```data = randi([0 M-1],100,1); modData = pammod(data,M,pi/4); ```

Display the PAM constellation diagram.

```scatterplot(modData) ```