# Frequency truncated discrete-time system norm

## TL;DR

This paper presents a method for computing the frequency truncated norm of discrete-time systems, which is essential for multirate signal processing and model reduction, by generalizing the integration of transfer functions over limited frequency intervals.

## Contribution

It introduces a novel approach for calculating the frequency truncated norm of discrete-time systems, including a generalized method for integrating transfer functions over specific frequency ranges.

## Key findings

- Provides a new computational method for frequency truncated norms
- Generalizes transfer function integration over limited frequency intervals
- Facilitates applications in multirate processing and model reduction

## Abstract

Multirate digital signal processing and model reduction applications require computation of the frequency truncated norm of a discrete-time system. This paper explains how to compute the frequency truncated norm of a discrete-time system. To this end, a much-generalized problem of integrating a transfer function of a discrete-time system given in the descriptor form over an interval of limited frequencies is also discussed along with its computation.