# Documentation

### This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

# logspace

Generate logarithmically spaced vector

## Syntax

y = logspace(a,b)
y = logspace(a,b,n)
y = logspace(a,pi)

## Description

example

y = logspace(a,b) generates a row vector y of 50 logarithmically spaced points between decades 10^a and 10^b. The logspace function is especially useful for creating frequency vectors. The function is the logarithmic equivalent of linspace and the ‘:’ operator.

example

y = logspace(a,b,n) generates n points between decades 10^a and 10^b.

y = logspace(a,pi) generates points between 10^a and pi, which is useful in digital signal processing for creating logarithmically spaced frequencies in the interval [10^a,pi].

## Examples

collapse all

Create a vector of 50 logarithmically spaced points in the interval [10^1,10^5].

y = logspace(1,5);

Create a vector of 7 logarithmically spaced points in the interval [10^1,10^5].

y1 = logspace(1,5,7)
y1 =

1.0e+05 *

0.0001    0.0005    0.0022    0.0100    0.0464    0.2154    1.0000

Create a vector of complex numbers with 8 logarithmically spaced points between 10^(1+2i) and 10^(5+5i).

y = logspace(1+2i,5+5i,8)
y =
1.0e+04 *

Columns 1 through 4

-0.0001 - 0.0010i   0.0029 - 0.0024i   0.0133 + 0.0040i   0.0147 + 0.0497i

Columns 5 through 8

-0.1242 + 0.1479i  -0.7150 - 0.0822i  -1.2137 - 2.3924i   4.9458 - 8.6913i

## Input Arguments

collapse all

First bound, specified as a numeric scalar. The a argument defines a bound of the interval over which logspace generates points. a can be real or complex, and the other bound, b, can be either larger or smaller than a. If b is smaller than a, then the vector contains descending values.

Data Types: single | double
Complex Number Support: Yes

Second bound, specified as a numeric scalar. The b argument defines a bound of the interval over which logspace generates points. b can be real or complex, and b can be either larger or smaller than the other bound, a. If b is smaller than a, then the vector contains descending values.

Data Types: single | double
Complex Number Support: Yes

Number of points, specified as a real numeric scalar.

• If n is 1, logspace returns 10^b.

• If n is zero or negative, logspace returns an empty row vector.

• If n is not an integer, logspace rounds n down and returns floor(n) points.

## See Also

#### Introduced before R2006a

Was this topic helpful?

#### Beyond Excel: The Manager's Guide to Solving the Big Data Conundrum

Download white paper