Publication

The plenacoustic function on the circle with application to HRTF interpolation

Martin Vetterli, Luciano Sbaiz
2005
Conference Papers

Abstract

The sampling of the soundfield using circular microphone arrays is studied. We give a new representation of the soundfield sampled on such an array using the two-dimensional Fourier transform. We then show how we can reconstruct the soundfield at all possible po- sitions on the array from a finite number of measurements. We give the necessary azimuthal angular sampling frequency necessary to reconstruct the data up to some temporal frequency. This new tech- nique is applied to interpolate Head Related Transfer Functions (HRTFs) where we also derive an angular sampling theorem.

Official source

https://infoscience.epfl.ch/entities/publication/d3ee8577-7d12-47b3-bc25-127fdd8a3949

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Martin Vetterli, Luciano Sbaiz
2005
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/d3ee8577-7d12-47b3-bc25-127fdd8a3949

About this result

Related concepts (25)

Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

Discrete Fourier transform

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency. The interval at which the DTFT is sampled is the reciprocal of the duration of the input sequence. An inverse DFT (IDFT) is a Fourier series, using the DTFT samples as coefficients of complex sinusoids at the corresponding DTFT frequencies.

Sampling (statistics)

In statistics, quality assurance, and survey methodology, sampling is the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics of the whole population. Statisticians attempt to collect samples that are representative of the population. Sampling has lower costs and faster data collection compared to recording data from the entire population, and thus, it can provide insights in cases where it is infeasible to measure an entire population.

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