ARMA filter and method for designing the same
US4188667A · kind A · utility
Inventors
Key dates
| Filing date | Nov 18, 1977 |
| Grant date | Feb 12, 1980 |
| Priority date | — |
| Expiry date | Nov 18, 1997 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH04R25/453
- WIPO fieldAudio-visual technology
- WIPO sectorElectrical engineering
Abstract
A near minimum order ARMA type recursive filter with guaranteed stability and convergence is provided together with a method for obtaining the parameters of such filter. The amplitude/frequency response of the filter approximates an arbitrarily selected frequency spectrum of amplitude, and the phase response approximates a substantially linear function of frequency with an arbitrarily selected slope because the parameters are identified, off-line, using a minimization process that minimizes an integral error norm. The first step involves performing an inverse discrete Fourier transform of the arbitrarily selected frequency spectrum of amplitude to obtain a truncated sequence of coefficients of a stable, pure moving-average filter model, i.e., the parameters of a non-recursive filter model. The truncated sequence of coefficients, which has N+1 terms, is then convolved with a random sequence to obtain an output sequence associated with the random sequence. A time-domain, convergent parameter identification is then performed, in a manner that minimizes an integral error function norm, to obtain the near minimum order parameters .alpha..sub.i and .beta..sub.j of the model having the de…
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.