We present a technique to implement three-dimensional (3-D) object recognition based on phase-shift digital holography. We use a nonlinear composite correlation filter to achieve distortion tolerance. We take advantage of the properties of holograms to make the composite filter by using one single hologram. Experiments are presented to illustrate the recognition of a 3-D object in the presence ...

The objective of this paper is t o present a new structure f o r an adaptive nonlinear equalizer f o r digital transmission over a nonlinear satellite channel with PSK modulation. The adaptive nonlinear equalizer is based o n a discrete frequencydomain third-order Volterra filter with the multidimensional overlap-save filtering technique, and o n the block least mean square (BLMS) algorithm f o...

In a real situation, digital filters are usually implemented via the two’s complement arithmetic because subtraction can be implemented easily via addition. However, the two’s complement arithmetic involves a periodic discontinuous nonlinear function, and the dynamics of digital filters could be very complicated even when no input signal is applied. Limit cycle and chaotic behaviors could occur...

This paper presents a special structure for designing low-complexity two-dimensional (2-D) half-band digital filter with very sharp transition band. Performing the singular-valuedecomposition (SVD) of zero-phase half-band frequency response generates a set of one-dimensional (1-D) frequency responses which can be approximated using the cascade of a half-advance digital filter and a set of 1-D f...

This work extends previous research on numerical solution of nonlinear systems in musical acoustics to the realm of nonlinear musical circuits. Wave digital principles and nonlinear state-space simulators provide two alternative approaches explored in this work. These methods are used to simulate voltage amplification stages typically used in guitar distortion or amplifier circuits. Block level...

We propose a new digital diffusion-reaction filter for denoising of digital images and data living on graphs. The construction of this filter is motivated by the regularization and diffusion approach to edge detection by Nordström. Properties and convergence of the iteration scheme are studied and numerical results are given. §

In this paper, a robust statistics based filter to remove salt and pepper noise in digital images is presented. The function of the algorithm is to detect the corrupted pixels first since the impulse noise only affect certain pixels in the image and the remaining pixels are uncorrupted. The corrupted pixels are replaced by an estimated value using the proposed robust statistics based filter. Th...

Virtual analog synthesis requires bandlimited source signal algorithms. An efficient methodology for the task expresses the traditionally used source waveforms or their time-derivatives as a sequence of bandlimited impulses or step functions. Approximations of the ideal bandlimited functions used in these quasi-bandlimited oscillator algorithms are typically linear-phase functions. In this pape...

We propose a discrete regularization framework on weighted graphs of arbitrary topology, which unifies image and mesh filtering. The approach considers the problem as a variational one, which consists in minimizing a weighted sum of two energy terms: a regularization one that uses the discrete p-Laplace operator, and an approximation one. This formulation leads to a family of simple nonlinear f...