Create complex array - MATLAB complex (2024)

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

  • a and b arenot double or single

  • b is all zeros

example

z = complex(x) returnsthe complex equivalent of x, such that isreal(z) returnslogical 0 (false).

  • If x is real, then z is x+ 0i.

  • If x is complex, then z isidentical to x.

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 = 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 + 7i

Complex 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 0

Input Arguments

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aReal 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

bImaginary 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

xInput 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 a or b is single, then z is single.

  • If either a or b is logical, then z is the data type of the nonlogical input.

  • If either a or b is an integer data type, then z is the same integer data type.

Additionally, z is only sparse when both input arguments a and b are sparse.

Tips

  • If b contains only zeros, then z iscomplex and the value of all its imaginary components is 0.In contrast, the addition a + 0i returns a strictlyreal result.

Extended Capabilities

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™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (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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Create complex array - MATLAB complex (1)

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Create complex array - MATLAB complex (2024)

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