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Approximation of Toeplitz matrices with circulant matrices is a well-known approach to reduce the computational complexity of linear equalizers. This paper presents a novel technique to compute linear equalizer coefficients in the frequency domain. It is s ...
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We derive a formula for the product of two Toeplitz matrices that is similar to the Trench formula for the inverse of a Toeplitz matrix. We then derive upper and lower bounds for number of multiplications required to compute the inverse or the product of T ...
The study of the internal structures of specimens has a great importance in life and materials sciences. The principle of optical diffraction tomography (ODT) consists in recording the complex wave diffracted by an object, while changing the k vector of th ...
This paper highlights the possible tradeoffs between arithmetic and structural complexity when computing cyclic convolution of real data in the transform domain. Both Fourier and Hartley-based schemes are first explained in their usual form and then improv ...
In this paper, we investigate pitch contour modelling in speech synthesis based on segmental units. A convolutional pitch target approximation model is proposed. This model allows jointly stochastic modelling of framewise pitch and pitch contour of longer ...
An alternative structure for adaptive linear prediction is proposed in which the adaptive filter is replaced by a cascade of inde- pendently adapting, low-order stages, and the prediction is generated by means of successive refinements. When the adaptation ...