Boots – shoes – and leggings
Patent
1977-11-18
1980-02-12
Smith, Jerry
Boots, shoes, and leggings
179 1FS, 179107R, 179107FD, G06F 1534, H04R 2500
Patent
active
041886674
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 desired amplitude- and phase-frequency responses, the parameters satisfying the relationship: ##EQU1## where: .alpha..sub.i is the ith auto-regressive parameter, and .beta..sub.j is the jth moving-average parameter, respectively, of an ARMA-type recursive filter; n and m denote the order of the auto-regressive and the moving-average parts of the ARMA model, respectively; y.sub.k and u.sub.k are associated elements of the kth element of the output sequence and the random sequence, respectively; k is an integer; and v is a shift integer selected to provide the desired slope of the phase response given by 2.pi.(v-N/2).
REFERENCES:
patent: 3385937 (1968-05-01), Lafon
patent: 3755749 (1973-08-01), Van Ryswyk et al.
patent: 3763333 (1973-10-01), Lichowsky
patent: 3800093 (1974-03-01), Wolf
patent: 3848091 (1974-11-01), Stearns et al.
patent: 3927279 (1975-12-01), Nakamura et al.
R. W. Schafer, "A Survey of Digital Speech Processing Techniques", IEEE Trans. on Audio and Electroacoustics, vol. AU-20, Mar. 1972, pp. 28-35.
Beex Aloysius A.
Causey G. Donald
Graupe Daniel
LandOfFree
ARMA filter and method for designing the same does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with ARMA filter and method for designing the same, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and ARMA filter and method for designing the same will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-1858022