This chapter describes a design of a narrowband lowpass finite impulse response (FIR) filter using a small number of multipliers per output sample (MPS). The method is based on the use of a frequency-improved recursive running sum (RRS), called the sharpening RRS filter, and the interpolated finite impulse response (IFIR) structure. The filter sharpening technique uses multiple copies of the sa...

In this paper, a homogenous multi-sensor fusion method is used to estimate the trueangular rate and acceleration with a combination of four low cost (< 10$) MEMS Inertial MeasurementUnits (IMU). An information form of steady state Kalman filter is designed to fuse the output of four lowaccuracy sensors to reduce the noise effect by the square root of the number of sensors. A hardware isimplemen...

The Impulse Response The sequence {ψj} of the filter’s coefficients constitutes its response, on the output side, to an input in the form of a unit impulse. If the sequence is finite, then ψ(z) is described as a moving-average filter or as a finite impulse-response (FIR) filter. When the filter produces an impulse response of an indefinite duration, it is called an infinite impulse-response (II...

The model matching problem ${\bf min}_{R(z)}\|W(z)−R(z)E(z)\|_\infty$ involved in multirate filter banks design is addressed. A method is presented to design the synthesis filter bank $R(z)$ with the order of $W(z)$ which is the polyphase representation of the time delay of the reconstructed signal. The existence conditions of such low−order $R(z)$ are given in linear matrix inequalities (LMIs)...

In this paper, a new approach for designing two-channel PR FIR filter banks with low system delay is proposed. It is based on the generalization of the structure previously proposed by Phoong et al 161. Such structurally PR filter banks are parameterized by two functions a ( z ) and b ( z ) which can be chosen as linear-phase FIR or allpass functions to construct FIMIR filter banks with good fr...

Let M be a 2 × 2 matrix of Laurent polynomials with real coefficients and symmetry. In this paper, we obtain a necessary and sufficient condition for the existence of four Laurent polynomials (or FIR filters) u1, u2, v1, v2 with real coefficients and symmetry such that [ u1(z) v1(z) u2(z) v2(z) ] [ u1(1/z) u2(1/z) v1(1/z) v2(1/z) ] = M(z) ∀ z ∈ C\{0} and [Su1](z)[Sv2](z) = [Su2](z)[Sv1](z), whe...

A detailed analysis of NGST multiband photometry applied to the reference case of the study of high-redshift galaxies has been carried out with simulations based on galaxy SEDs derived from the currently available empirical and model templates and on plausible standard filter-sets. In order to correctly identify star forming galaxies in the redshift range 5 < z < 9 and earlytype galaxies above ...

A detailed analysis of NGST multiband photometry applied to the reference case of the study of high-redshift galaxies has been carried out with simulations based on galaxy SEDs derived from the currently available empirical and model templates and on plausible standard filter-sets. In order to correctly identify star forming galaxies in the redshift range 5 z 9 and earlytype galaxies above z 2 ...

Line Spectrum Pair (LSP) was first introduced by Itakura [1,21 as an alternative LPC spectral representations. It was found that this new representation has such interesting properties as (I) all zeros of LSP polynomials are on the unit circle, (2) the corresponding zeros of the symmetric and anti-symmetric LSP polynomials are interlaced, and (3) the reconstructed LPC all-pole filter preserves ...