nextpow2
Exponent of next higher power of 2
Syntax
Description
P = nextpow2(
returns the exponents for the
smallest powers of two that satisfyA
)
for each element in A
. By convention,
nextpow2(0)
returns zero.
You can use nextpow2
to pad the signal you pass to fft
. Doing so can speed up the
computation of the FFT when the signal length is not an exact power of 2.
Examples
Next Power of 2 of Double Integer Values
Define a vector of double
integer values and calculate the exponents for the next power of 2 higher than those values.
a = [1 -2 3 -4 5 9 519]; p = nextpow2(a)
p = 1×7
0 1 2 2 3 4 10
Calculate the positive next powers of 2.
np2 = 2.^p
np2 = 1×7
1 2 4 4 8 16 1024
Preserve the sign of the original input values.
np2.*sign(a)
ans = 1×7
1 -2 4 -4 8 16 1024
Next Power of 2 of Unsigned Integer Values
Define a vector of unsigned integers and calculate the exponents for the next power of 2 higher than those values.
a = uint32([1020 4000 32700]); p = nextpow2(a)
p = 1x3 uint32 row vector
10 12 15
Calculate the next powers of 2 higher than the values in a
.
2.^p
ans = 1x3 uint32 row vector
1024 4096 32768
Optimize FFT with Padding
Use the nextpow2
function to increase the performance of fft
when the length of a signal is not a power of 2.
Create a 1-D vector containing 8191 sample values.
rng default;
x = rand([1,8191]);
Calculate the next power of 2 higher than 8191.
p = nextpow2(8191); n = 2^p
n = 8192
Pass the signal and the next power of 2 to the fft
function.
y = fft(x,n);
Input Arguments
A
— Input values
scalar, vector, array, table, or timetable of real numbers
Input values, specified as a scalar, vector, array, table, or timetable of real numbers of any numeric type.
Example: 15
Example: [-15.123
32.456 63.111]
Example: int16([-15
32 63])
Data Types: single
| double
| int8
| int16
| int32
| int64
| uint8
| uint16
| uint32
| uint64
| table
| timetable
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
The
nextpow2
function fully supports tall arrays. For more information,
see Tall Arrays.
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.
Thread-Based Environment
Run code in the background using MATLAB® backgroundPool
or accelerate code with Parallel Computing Toolbox™ ThreadPool
.
This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.
GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.
The nextpow2
function
fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray
(Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).
Version History
Introduced before R2006aR2023a: Perform calculations directly on tables and timetables
The nextpow2
function can calculate on all variables within a table or
timetable without indexing to access those variables. All variables must have data types
that support the calculation. For more information, see Direct Calculations on Tables and Timetables.
MATLAB Command
You clicked a link that corresponds to this MATLAB command:
Run the command by entering it in the MATLAB Command Window. Web browsers do not support MATLAB commands.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .
You can also select a web site from the following list
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.
Americas
- América Latina (Español)
- Canada (English)
- United States (English)
Europe
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)
Asia Pacific
- Australia (English)
- India (English)
- New Zealand (English)
- 中国
- 日本Japanese (日本語)
- 한국Korean (한국어)