In this paper, we address the problems of precoding and equalization in frequency-selective MIMO channels by channel inversion. The channel is assumed to be stable and causal. As our main result, we give a closed form expression for a linear precoder which is stable and causal as well as timeinvariant. In particular, our solution further is optimal in terms of robustness and not restricted to f...

This paper presents new results on quality assessment of models identified from a finite data sample. Suppose that we are given a finite sample of measurements coming from a plant and that we are asked to provide a model of the plant along with a certification of the model quality. The certification of the model quality is a measure of how far the identified model can be from the best model in ...

The FIR 2-band wavelets have found wide applications in practice. One of their disadvantages, however, is that they cannot be made both symmetric and orthogonal. There have been some works on filters which are orthogonal and nearly symmetric. In this paper, Gröbner methods are used to design orthogonal filters with a subset of exactly symmetric coefficients of various lengths, as opposed to nea...

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...

In an earlier paper we have shown that a proposition can have a welldefined probability value, even if its justification consists of an infinite linear chain. In the present paper we demonstrate that the same holds if the justification takes the form of a closed loop. Moreover, in the limit that the size of the loop tends to infinity, the probability value of the justified proposition is always...

This paper discusses a method for designing the Finite Impulse Response (FIR) filters based on polynomial approach.

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Digital waveguide mesh has emerged as an efficient and straightforward way to model small room impulse response because it solves the wave equation directly in the time domain. In this paper, we investigate the performance of the 3-D rectangular digital waveguide mesh in modeling the low frequency portion of room impulse response. We find that it has similar performance compared to the popular ...

This paper presents a novel deconvolution algorithm designed to estimate the impulse response of buried objects based on ground penetrating radar (GPR) signals. The impulse response is a rich source of information about the buried object and therefore very useful for intelligent signal processing of GPR data. For example, it can be used in a target classification scheme to reduce the false alar...

k x[k]δ[n − k] : convolution of x[n] and δ[n] = · · · + x[−2]δ[n + 2] + x[−1]δ[n + 1] + x[0]δ[n] + x[1]δ[n − 1] + · · · : any sequence can be decomposed as a sum of scaled and shifted impulses. (a) Scale (by x[k]) and shift (from δ[n] to δ[n− k]) imply linearity and time-invariance, respectively. (b) Envision x[n] : {..., x[−1], x[0], x[1], ...} as a signal vector, and δ[n − k] : {..., 0, δ[n −...