Create complex array
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Syntax
z = complex(a,b)
z = complex(x)
Description
example
z = complex(a,b) createsa complex output, z, from two real inputs, suchthat z = a + bi.
The complex function provides a useful substitutefor expressions, such as a + 1i*b or a+ 1j*b, when
aandbarenotdoubleorsinglebis all zeros
example
z = complex(x) returnsthe complex equivalent of x, such that isreal(z) returnslogical 0 (false).
If
xis real, thenzisx+ 0i.If
xis complex, thenzisidentical tox.
Examples
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Complex Scalar from Two Real Scalars
Open Live Script
Use the complex function to create the complex scalar, 3 + 4i.
z = complex(3,4)
z = 3.0000 + 4.0000i
Complex Vector from Two Real Vectors
Open Live Script
Create a complex uint8 vector from two real uint8 vectors. The size of z, 4-by-1, is the same as the size of the input arguments.
a = uint8([1;2;3;4]);b = uint8([2;2;7;7]);z = complex(a,b)
z = 4x1 uint8 column vector 1 + 2i 2 + 2i 3 + 7i 4 + 7iComplex Scalar from One Real Scalar
Open Live Script
Create a complex scalar with zero imaginary part.
z = complex(12)
z = 12.0000 + 0.0000i
Verify that z is complex.
isreal(z)
ans = logical 0Input Arguments
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a — Real component
scalar | vector | matrix | multidimensional array
Real component, specified as a scalar, vector, matrix, or multidimensionalarray.
The size of a must match the size of b,unless one is a scalar. If either a or b isa scalar, MATLAB® expands the scalar to match the size of theother input.
a and b can have different data types. However, if either a or b is an integer data type, then the other input must have the same integer type or be a full (not sparse) scalar double.
Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical
b — Imaginary component
scalar | vector | matrix | multidimensional array
Imaginary component, specified as a scalar, vector, matrix,or multidimensional array.
The size of b must match the size of a,unless one is a scalar. If either a or b isa scalar, MATLAB expands the scalar to match the size of theother input.
a and b can have different data types. However, if either a or b is an integer data type, then the other input must have the same integer type or be a full (not sparse) scalar double.
Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical
x — Input array
scalar | vector | matrix | multidimensional array
Input array, specified as a scalar, vector, matrix, or multidimensionalarray.
Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical
Complex Number Support: Yes
Output Arguments
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z — Complex array
scalar | vector | matrix | multidimensional array
Complex array, returned as a scalar, vector, matrix, or multidimensionalarray.
The size of z is the same as the input arguments.
The following describes the data type of z when a and b have different data types.
If either
aorbissingle, thenzissingle.If either
aorbislogical, thenzis the data type of the nonlogical input.If either
aorbis an integer data type, thenzis the same integer data type.
Additionally, z is only sparse when both input arguments a and b are sparse.
Tips
If
bcontains only zeros, thenziscomplex and the value of all its imaginary components is0.In contrast, the additiona + 0ireturns a strictlyreal result.
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
This function fully supports tall arrays. Formore 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™.
HDL Code Generation
Generate VHDL, Verilog and SystemVerilog code for FPGA and ASIC designs using HDL 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™.
This function fully supports GPU arrays. 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 R2006a
See Also
abs | angle | conj | i | imag | isreal | j | real
Topics
- Create Complex Numbers
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