In this work, the method of iterative Fourier transform phase reconstruction, conventionally used in holography and optical image reconstruction, is applied to phase only synthesis of antenna patterns. The method is applied to two types of pattern synthesis problems: "main lobe beam shaping" and "side-lobe-level reduction". The proposed method is most useful in the efficient employment of attai...

This paper deals with a new technique for multi-channel separation of speech signals from convolutive mixtures under coherent noise. We demonstrate how the scaled transfer functions from the sources to the microphones can be estimated even in the presence of stationary coherent noise. The key to this are generalized eigenvalue decompositions of the power spectral density (PSD) matrices of the n...

In this paper we establish a generalized noise reduction scheme, called the Spatially Pre-processed Speech Distortion Weighted Multi-channel Wiener filter (SP-SDW-MWF), that encompasses the Generalized Sidelobe Canceller (GSC) and a recently developed Multi-channel Wiener Filtering (MWF) technique as extreme cases and allows for in-between solutions. Compared to the widely studied GSC with Quad...

Multi-microphone noise reduction techniques for hearing aid applications go together with the use of small-sized arrays. Considerable noise reduction can be achieved with such arrays, but at the expense of an increased sensitivity to model errors or a priori assumptions. We evaluate the robustness of the Generalized Sidelobe Canceller (GSC) and a Generalized Singular Value Decomposition (GSVD) ...

We develop construction techniques in the context of Riesz bases which facilitate the conception of a new family of multi-channel, multi-sampling rate theorems. This family takes advantage of the dilation property of the Fourier transform. In each channel a simple transform is taken which merely involves the addition and subtraction of subsets of the given samples. Each channel is then multipli...