peak2rms

Peak-magnitude-to-RMS ratio

collapse all in page

Syntax

y = peak2rms(x)
y = peak2rms(x,dim)

Description

example

y = peak2rms(x) returns the ratio of the largest absolute value in x to the root-mean-square (RMS) value of x.

example

y = peak2rms(x,dim) computes the peak-magnitude-to-RMS ratio of x along dimension dim.

Examples

collapse all

Open Live Script

Compute the peak-magnitude-to-RMS ratio of a 100 Hz sinusoid sampled at 1 kHz.

t = 0:0.001:1-0.001;
x = cos(2*pi*100*t);

y = peak2rms(x)
y = 1.4142
Open Live Script

Create a complex exponential with a frequency of π/4 rad/sample. Find the peak-magnitude-to-RMS ratio.

n = 0:99;
x = exp(1j*pi/4*n);

y = peak2rms(x)
y = 1
Open Live Script

Create a matrix in which each column is a 100 Hz sinusoid sampled at 1 kHz with a different amplitude. The amplitude is equal to the column index.

Compute the peak-magnitude-to-RMS ratios of the columns. 

t = 0:0.001:1-0.001;
x = cos(2*pi*100*t)'*(1:4);

y = peak2rms(x)
y = 1×4

    1.4142    1.4142    1.4142    1.4142
Open Live Script

Create a matrix in which each row is a 100 Hz sinusoid sampled at 1 kHz with a different amplitude. The amplitude is equal to the row index.

Compute the RMS levels of the rows, specifying the dimension equal to 2 with the dim argument.

t = 0:0.001:1-0.001;
x = (1:4)'*cos(2*pi*100*t);

y = peak2rms(x,2)
y = 4×1

    1.4142
    1.4142
    1.4142
    1.4142

Input Arguments

collapse all

Input signal, specified as a vector, matrix, N-D array, or gpuArray object.

See Run MATLAB Functions on a GPU (Parallel Computing Toolbox) and GPU Support by Release (Parallel Computing Toolbox) for details on gpuArray (Parallel Computing Toolbox) objects.

Data Types: double | single
Complex Number Support: Yes

Dimension to operate along, specified as a positive integer scalar. By default, peak2rms operates along the first array dimension of x with size greater than 1. For example, if x is a row or column vector, y is a real-valued scalar. If x is an N-by-M matrix with N > 1, y is a 1-by-M row vector containing the peak-magnitude-to-RMS levels of the columns of y.

Data Types: double | single

Output Arguments

collapse all

Peak-magnitude-to-RMS ratio, specified as a real-valued scalar, matrix, N-D array, or gpuArray object.

More About

collapse all

Peak-Magnitude-to-RMS Ratio

The peak-magnitude-to-RMS ratio is

‖X‖∞1N∑n=1N|Xn|2,

where the infinity-norm and RMS values are computed along the specified dimension.

References

[1] IEEE® Standard on Transitions, Pulses, and Related Waveforms, IEEE Standard 181, 2003.

Extended Capabilities

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

See Also

| | | | |

Introduced in R2012a

Signal Processing Toolbox Documentation

Support