A filter bank is referred to as cosine modulated when all the analysis and synthesis filters are cosine modulated versions of one or two prototypes. The one-dimensional (1D) cosine modulated filter bank (CMFB) is wellknown for low design cost and low complexity. In the application of subband coding, it is sometimes desirable that the individual filters have linear phase. In this paper, we will ...

Radially symmetric pupil plane phase retardation functions are derived that extend focal depth and alleviate third-order spherical aberration (SA) effects. The radial symmetry of these functions means that they can be more conveniently manufactured by use of traditional techniques such as diamond machining than previously reported filters with rectangular symmetry. The method employs minimizati...

In this paper two methods for designing almost linear phase wave digital filters are compared. First of them is based on designing a minimum phase filter and equalizing its phase response by some all-pass equalizer. The, second one utilizes previously published method of designing'almost linear phase filters without the equalizer. Several improvements to bo? approaches are introduced and a comp...

This paper examines filtering on a sphere, by first examining the roles of spherical harmonic magnitude and phase. We show that phase is more important than magnitude in determining the structure of a spherical function. We examine the properties of linear phase shifts in the spherical harmonic domain, which suggest a mechanism for constructing finiteimpulse-response (FIR) filters. We show that...

This paper presents a novel simple method for the direct design of low-pass minimum-phase (MP) filters. The method is based on a linear-phase (LP) finite impulse response (FIR) prototype, sharpening and IFIR (interpolated finite impulse response) techniques, usually used for the design of LP filters. As a result, a more complex minimum phase filter can be designed by using less complex filters....

For many digital signal processing applications, FIR filters are preferred over their IIR counterparts as the former can be designed with exactly linear phase and they are free of stability problems and limit cycle oscillations. The major drawback of FIR filters is that they require, especially in applications demanding narrow transition bands, considerably more arithmetic operations and hardwa...

This paper presents enhancement of image reconstruction by comprehensively exploiting the phase diversity of adaptive synthesis filter bank. A novel approach of selection of synthesis delay filters in various reconstruction groups and possible placing configurations of optimal groups in adaptive synthesis filter bank have been explored. In contrast with linear phase synthesis filters, synthesis...

This paper uses Kalman filter theory to design a state estimator for noisy discrete time Takagi–Sugeno (T–S) fuzzy models. One local filter is designed for each local linear model using standard Kalman filter theory. Steady state solutions can be found for each of the local filters. Then a linear combination of the local filters is used to derive a global filter. The local filters are time-inva...

Haar wavelets have been widely used in Biometrics. One advantage of Haar wavelets is the simplicity and the locality of their decomposition and reconstruction filters. However, Haar wavelets are not satisfactory for some applications due to their non-continuous behaviour. Having a particular level of smoothness is important for many applications. B-spline wavelets are capable of being applied t...