Hybrid transversal-lattice optical filters

Linear Signal Processing and Ultrasonic Transversal Filters

The role of linear transversal filters in signal processing is discussed in Section I. Linear filters for signal processing must often have complicated impulse responses, with large bandwidth and large time­ bandwidth product. The lineae transversal filter, a delay line with weighted and summed taps, is ideally suited for the implementation of such filters because of its simplicity of gynthesis...

Equalization of Gaussian-like spectra with optical lattice filters

We present a filter design scheme in which we use an all-fiber lattice filter to equalize Gaussian-like spectra. With a two-step design strategy, the designed equalization filter can flatten the Gaussian-like spectra in the maximally flat sense, and the spectrum ripples can be assessed quantitatively. The equalization performance is analyzed theoretically. It is also shown that the equalization...

Development of Nonlinear Lattice-Hammerstein Filters for Gaussian Signals

In this paper, the nonlinear lattice-Hammerstein filter and its properties are derived. It is shown that the error signals are orthogonal to the input signal and also backward errors of different stages are orthogonal to each other. Numerical results confirm all the theoretical properties of the lattice-Hammerstein structure.

Lattice Particle Filters

A promising approach to approximate inference in state-space models is particle ltering. However, the performance of particle lters often varies signi cantly due to their stochastic nature. We present a class of algorithms, called lattice particle lters, that circumvent this diÆculty by placing the particles deterministically according to a QuasiMonte Carlo integration rule. We describe a pract...

Recursive Lattice Filters