triang

Triangular window

Syntax

w = triang(L)

w = triang(L,typeName)

Description

w = triang(L) returns an L-point triangular window.

w = triang(L,typeName) specifies the option to return the window w with single or double precision.

Examples

Triangular Window

Create a 200-point triangular window. Display the result using wvtool.

L = 200;
w = triang(L);
wvtool(w)

Input Arguments

L — Window length

positive integer

Window length, specified as a positive integer.

Note

If you specify L as noninteger, the function rounds it to the nearest integer value.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

typeName — Output data type

"double" (default) | "single"

Since R2024b

Output data type (class), specified as one of these:

• "double" — Use this option to return a double-precision output w.

• "single" — Use this option to return a single-precision output w.

Data Types: char | string

Output Arguments

w — Triangular window

column vector

Triangular window, returned as a column vector.

Algorithms

The coefficients of a triangular window are:

For L odd:

$$w(n)=\{\begin{array}{ll}\frac{2n}{L+1}\hfill & 1\le n\le \frac{L+1}{2}\hfill \\ 2-\frac{2n}{L+1}\hfill & \frac{L+1}{2}+1\le n\le L\hfill \end{array}$$

For L even:

$$w(n)=\{\begin{array}{ll}\frac{(2n-1)}{L}\hfill & 1\le n\le \frac{L}{2}\hfill \\ 2-\frac{(2n-1)}{L}\hfill & \frac{L}{2}+1\le n\le L\hfill \end{array}$$

References

[1] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999.

Extended Capabilities

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

Version History

Introduced before R2006a

R2024b: Generate Single-Precision Outputs

The triang function supports single-precision outputs.