### Abstract

The typical filter design problem with extra time or/and frequency domain constraints is to find the impulse response for the filter h(n), resulting in the frequency response of the filter being the best approximation in the Chebyshev sense of the desired frequency response, when the given constraints are met. In the paper, this is solved by means of its transformation into an equivalent constraint minimisation problem. In order to do this, the filter coefficients vector Y is defined and an objective function X(Y) is introduced. The function X(Y) is defined as having the global minimum of zero, when the frequency response of the filter is equiripple in the stop-band. The conditions leading to the frequency response monotonically decreasing or increasing in the pass-band are given in the form of a set of extra constraints. The special constraint, eliminating the possibility of the transient-region frequency response anomalies is also introduced.

Original language | English (US) |
---|---|

Pages (from-to) | 331-334 |

Number of pages | 4 |

Journal | National Conference Publication - Institution of Engineers, Australia |

Volume | 1 |

Issue number | 94 /9 |

State | Published - 1994 |

Externally published | Yes |

Event | Proceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2) - Sydney, Aust Duration: Nov 20 1994 → Nov 24 1994 |

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of 'Design of FIR digital filters with monotone pass-band and equiriple stop-band frequency response'. Together they form a unique fingerprint.

## Cite this

*National Conference Publication - Institution of Engineers, Australia*,

*1*(94 /9), 331-334.