octavebw2q

Convert analog octave bandwidth to quality factor

Since R2026a

Syntax

Q = octavebw2q(N)

Description

Q = octavebw2q(N) converts analog octave bandwidths, N, to quality factors, Q.

Examples

Convert Octave Bandwidth to Quality Factor

Convert a vector of octave bandwidths into quality factors.

bw = [1 1/3 1/4];
q = octavebw2q(bw)

q = 1×3

    1.4142    4.3185    5.7636

Input Arguments

N — Octave bandwidth

positive-valued vector

Octave bandwidths, specified as a positive-valued vector. The octave bandwidth is the ratio of upper to lower limits of the bandwidth expressed as a power of two.

Data Types: single | double

Output Arguments

Q — Quality factor

positive-valued vector

Quality factors, returned as a positive-valued vector having the same size as N. The quality factor is the ratio of a filter's center frequency and bandwidth.

Data Types: single | double

Algorithms

The analog octave bandwidth N is the ratio of the upper to lower band limits written as a power of two. The quality factor Q is derived from N by

$$Q=\frac{\sqrt{2^N}}{2^N-1}.$$

This equation applies only to analog frequencies.

Extended Capabilities

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

Version History

Introduced in R2026a