Moving Average

Moving average-value computation

• Library:

• Simscape / Electrical / Control / General Control

• 

Description

The Moving Average block computes the moving average value of the input signal. Use this block to filter higher frequency signal components and to smooth noisy signals.

Equations

The moving average is computed based on a moving time window. The moving average for continuous-time is calculated as

$$\overline{u}=\frac{1}{T_0}{\displaystyle \underset{t_0}{\overset{t_0+T_0}{\int }}u(t)dt},$$

where:

• u(t) is the input signal,

• $$\frac{1}{f}$$

• f is the fundamental frequency of the signal.

The moving average for discrete-time is calculated as:

$$\overline{u}(k)=\frac{1}{T_0}{\displaystyle \sum _{i=0}^{n-1}u(k-i)}.$$

Assumptions

• The output is initialized with the initial condition in the time interval [0, T0]

Ports

Input

u — Moving average input

scalar | vector

Input signal.

Data Types: single | double

Output

Mean — Moving average output

scalar | vector

Moving average of the input signal.

Data Types: single | double

Parameters

Fundamental frequency (Hz) — Signal fundamental frequency

60 (default) | positive scalar | vector with positive values

Fundamental frequency of the signal, in Hz. If you specify the fundamental frequency using a vector, it must match the input vector dimension.

Initial value — Initial input signal value

0 (default) | scalar

The initial value of the input signal.

Sample time (-1 for inherited) — Block sample time

-1 (default) | 0 | positive scalar

Time between consecutive block executions. During execution, the block produces outputs and, if appropriate, updates its internal state. For more information, see What Is Sample Time? and Specify Sample Time.

For inherited discrete-time operation, specify -1. For discrete-time operation, specify a positive integer. For continuous-time operation, specify 0.

If this block is in a masked subsystem, or other variant subsystem that allows you to switch between continuous operation and discrete operation, promote the sample time parameter. Promoting the sample time parameter ensures correct switching between the continuous and discrete implementations of the block. For more information, see Promote Parameter to Mask.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.