A quick gradient training algorithm for a specific neural network structure called an extra reduced size lattice–ladder multilayer perceptron is introduced. Presented derivation of the algorithm utilizes recently found by author simplest way of exact computation of gradients for rotation parameters of lattice–ladder filter. Developed neural network training algorithm is optimal in terms of mini...

We propose an alternate Givens rotation-based least-squares lattice algorithm. Based on spherical trigonometry principles, this algorithm turns out to be a normalized version of the fast QRD-based least-squares lattice filter, introduced independently by Ling and by Proudler et al. In constrast with that algorithm, the storage requirements of the new algorithm are minimal (in the system theory ...

Prediction error filters which combine short-time prediction (formant prediction) with long-time prediction (pitch prediction) in a cascade connection are examined. A number of different solution methods (autocorrelation, covariance, Burg) and implementations (transversal and lattice) are considered. It is found that the F-P cascade (formant filter before the pitch filter) outperforms the P-F c...

The use of short order polynomial approximations to 1/x as a UV filter for HMC is investigated. Previous work in the Schwinger model (2D QED) showed that the integration step size may be increased within a multiple time scale integration by separating the UV and IR dynamics with a polynomial filter. We test the same method within the framework of Lattice QCD. c Copyright owned by the author(s) ...

In this paper, an acoustic echo canceller (AEC) based on an M-channel infinite-impulse response (IIR) cosine-modulated filter bank (CMFB) with near-perfect reconstruction (PR) property is proposed. The use of a 2-channel lossless lattice section with 1 st order allpass filter in the design of the prototype filter that is common to both the analysis and the synthesis filter banks permits the fil...

We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity by a ”dual form” of a diagonal condition. We show that our axiom ensures that a regular T1-space is separated and that regularity is preserved under initial constructions. Further we present an extension theorem for a c...

In this paper, the concept of intuitionistic fuzzy congruence relation on a residuated lattice is introduced and its properties is studied. The relationship between intuitionistic fuzzy filters and intuitionistic fuzzy congruence relations on a residuated lattice is obtain. Then the intuitionistic fuzzy congruence relation corresponding to a given intuitionistic fuzzy filter on residuated latti...

A new type of compact microstrip line photonic band gap(PBG) structure employing T-type microstrip line for filter is presented. A miniature band rejection filter with four cells is simulated, fabricated, and measured. The filter with four proposed PBG structure exhibits band rejection characteristics (lower than -10dB from 23GHz~32GHz). The center frequency of stop-band is at 28GHz. The period...

Nowadays, in the after-treatment of diesel exhaust gas, a diesel particulate filter (DPF) has been used to trap nano-particles of the diesel soot. However, as there are more particles inside the filter, the pressure which corresponds to the filter backpressure increases, which worsens the fuel consumption rate, together with the abatement of the available torque. Thus, a filter with lower backp...

The recently introduced exponentially modulated filter bank (EMFB) is a 2M-channel uniform, orthogonal, critically sampled, and frequency-selective complex modulated filter bank that satisfies the perfect reconstruction (PR) property if the prototype filter of an M-channel PR cosine modulated filter bank (CMFB) is used. The purpose of this paper is to present various implementation structures f...