A nonuniform multi-Gabor expansion (MGE) scheme is studied under proportional time and fi'equency (TF) shifts among different window indices m. In particular, TF parameters for each m are different, but proportional and relevant to windows' TF patterns. The generation of synthesis waveforms for nonuniform MGE is generally difficult. 'Ne show constructively that there is a set of basic synthesis...

In this paper we present simple closed-form expressions for the probability of error for M-ary phase-shift-key (M-PSK) signaling over a channel with additive white Gaussian noise and nonselective Rayleigh fading. These expressions can be used to analyze the performance of standard uniform M-PSK constellations and nonuniform M-PSK constellations. Nonuniform M-PSK has recently been shown to be us...

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The FFT is used widely in signal processing for efficient computation of the Fourier transform (FT) over a set of uniformly spaced frequency locations. However, in many applications, one requires nonuniform sampling in the frequency domain, i.e., a nonuniform FT. Several papers have described fast approximations for the nonuniform FT based on interpolating an oversampled FFT. This paper present...

In this paper, a recursive computation method is developed to derive the multiple reflections of nonuniform transmission lines. The true impedance profiles of the nonuniform transmission lines are then reconstructed with the help of this method. This method is more efficient than other algorithm. To validate this method, two nonuniform microstrip lines are designed and measured using Agilent ve...

This paper studies the covolumes of nonuniform arithmetic lattices in PU(n, 1). We determine the smallest covolume nonuniform arithmetic lattices for each n, the number of minimal covolume lattices for each n, and study the growth of the minimal covolume as n varies. In particular, there is a unique lattice (up to isomorphism) in PU(9, 1) of smallest Euler–Poincaré characteristic amongst all no...

We introduce the notion of nonuniform coercion, which is the promotion of a value of one type to an enriched value of a different type via a nonuniform procedure. Nonuniform coercions are a generalization of the (uniform) coercions known in the literature and they arise naturally when formalizing mathematics in an higher order interactive theorem prover using convenient devices like canonical s...

Ahtract -A computer-aided sjnthesis design procedure is given for nonuniform quadrature directional couplers in inhomogeneous media. A wiggly geometry is employed which effective11 slows the odd-mode phase veloci5 to match the even-mode phase velocity. The wiggly geometry results in improved isolation and increased effective dielectric constant. This technique provides a shorter coupler length ...

We propose a new method for designing nonuniform lapped transforms. The proposed method provides a simple yet effective way of designing lapped transforms with nonuniform frequency resolution and good time localization. This method is a generalization of an approach proposed by Princen, where the nonuniform filter bank is obtained by joining uniform cosine-modulated filter banks using transitio...