filternorm
2-norm or infinity-norm of digital filter
Description
Examples
Input Arguments
Output Arguments
Tips
Algorithms
Given a filter with frequency response H(ejω), the Lp-norm for 1 ≤ p < ∞ is given by
For the case p → ∞, the L∞-norm is
For the case p = 2, Parseval's theorem states that
where h(n) is the impulse response of the filter. The energy of the impulse response is the squared L2-norm.
References
[1] Jackson, L. B. Digital Filters and Signal Processing: with MATLAB Exercises. 3rd Ed. Hingham, MA: Kluwer Academic Publishers, 1996, Chapter 11.
Extended Capabilities
Version History
Introduced before R2006a