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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

collapse all

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 $\pi$/4.

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

Display the PAM constellation diagram.

scatterplot(modData)