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Wave Field Synthesis
Wave field synthesis (WFS) is a spatial audio rendering technique, characterized by creation of virtual acoustic environments. It produces ''artificial'' wavefronts synthesized by a large number of individually driven loudspeakers from elementary waves. Such wavefronts seem to originate from a virtual starting point, the virtual sound source. Contrary to traditional phantom sound sources, the localization of WFS established virtual sound sources does not depend on the listener's position. Like a genuine sound source the virtual source remains at fixed starting point. Physical fundamentals WFS is based on the Huygens–Fresnel principle, which states that any wavefront can be regarded as a superposition of spherical elementary waves. Therefore, any wavefront can be synthesized from such elementary waves. In practice, a computer controls a large array of individual loudspeakers and actuates each one exactly by the time and level at which the desired virtual wavefront would pas ...
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Principle Wfs 2
A principle may relate to a fundamental truth or proposition that serves as the foundation for a system of beliefs or behavior or a chain of reasoning. They provide a guide for behavior or evaluation. A principle can make values explicit, so they are expressed in the form of rules and standards. Principles unpack the values underlying them more concretely so that the values can be more easily operationalized in policy statements and actions. In law, higher order, overarching principles establish rules to be followed, modified by sentencing guidelines relating to context and proportionality. In science and nature, a principle may define the essential characteristics of the system, or reflect the system's designed purpose. The effective operation would be impossible if any one of the principles was to be ignored. A system may be explicitly based on and implemented from a document of principles as was done in IBM's 360/370 ''Principles of Operation''. It is important to differen ...
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Spectral Leakage
The Fourier transform of a function of time, s(t), is a complex-valued function of frequency, S(f), often referred to as a frequency spectrum. Any LTI system theory, linear time-invariant operation on s(t) produces a new spectrum of the form H(f)•S(f), which changes the relative magnitudes and/or angles (Phase (waves), phase) of the non-zero values of S(f). Any other type of operation creates new frequency components that may be referred to as spectral leakage in the broadest sense. Sampling (signal processing), Sampling, for instance, produces leakage, which we call ''aliasing, aliases'' of the original spectral component. For Fourier transform purposes, Sampling (signal processing), sampling is modeled as a product between s(t) and a Dirac comb function. The spectrum of a product is the convolution between S(f) and another function, which inevitably creates the new frequency components. But the term 'leakage' usually refers to the effect of ''windowing'', which is the produ ...
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Fourier Optics
Fourier optics is the study of classical optics using Fourier transforms (FTs), in which the waveform being considered is regarded as made up of a combination, or '' superposition'', of plane waves. It has some parallels to the Huygens–Fresnel principle, in which the wavefront is regarded as being made up of a combination of spherical wavefronts (also called phasefronts) whose sum is the wavefront being studied. A key difference is that Fourier optics considers the plane waves to be natural modes of the propagation medium, as opposed to Huygens–Fresnel, where the spherical waves originate in the physical medium. A curved phasefront may be synthesized from an infinite number of these "natural modes" i.e., from plane wave phasefronts oriented in different directions in space. When an expanding spherical wave is far from its sources, it is locally tangent to a planar phase front (a single plane wave out of the infinite spectrum), which is transverse to the radial direction of prop ...
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Ambisonics
Ambisonics is a ''full-sphere'' surround sound format: in addition to the horizontal plane, it covers sound sources above and below the listener. Unlike some other multichannel surround formats, its transmission channels do not carry speaker signals. Instead, they contain a speaker-independent representation of a sound field called ''B-format'', which is then ''decoded'' to the listener's speaker setup. This extra step allows the producer to think in terms of source directions rather than loudspeaker positions, and offers the listener a considerable degree of flexibility as to the layout and number of speakers used for playback. Ambisonics was developed in the UK in the 1970s under the auspices of the British National Research Development Corporation. Despite its solid technical foundation and many advantages, Ambisonics had not until recently been a commercial success, and survived only in niche applications and among recording enthusiasts. With the widespread availability ...
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Angular Spectrum Method
The angular spectrum method is a technique for modeling the propagation of a wave field. This technique involves expanding a complex wave field into a summation of infinite number of plane waves of the same frequency and different directions. Its mathematical origins lie in the field of Fourier optics but it has been applied extensively in the field of ultrasound. The technique can predict an acoustic pressure field distribution over a plane, based upon knowledge of the pressure field distribution at a parallel plane. Predictions in both the forward and backward propagation directions are possible. Modeling the diffraction of a CW (continuous wave), monochromatic (single frequency) field involves the following steps: # Sampling the complex (real and imaginary) components of a pressure field over a grid of points lying in a cross-sectional plane within the field. # Taking the 2D- FFT (two dimensional Fourier transform) of the pressure field - this will decompose the field into a ...
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Sphere (venue)
Sphere (also known as Sphere at the Venetian Resort) is a music and entertainment arena in Paradise, Nevada, United States, east of the Las Vegas Strip. Designed by Populous, the project was announced by the Madison Square Garden Company in 2018, known then as the MSG Sphere. The venue, which seats 17,600 people and has total capacity of 20,000, is being marketed for its immersive video and audio capabilities, which include a 16K resolution wraparound interior LED screen, speakers with beamforming and wave field synthesis technologies, and 4D physical effects. The venue's exterior also features of LED displays. Sphere measures high and wide. The arena cost $2.3 billion, making it the most expensive entertainment venue built in the Las Vegas Valley. Sphere opened on September 29, 2023, with Irish rock band U2 beginning a 40-show residency called U2:UV ''Achtung Baby'' Live at Sphere. Director Darren Aronofsky's docu-film '' Postcard from Earth'' opened on October 6, ...
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Technische Universität Berlin
(TU Berlin; also known as Berlin Institute of Technology and Technical University of Berlin, although officially the name should not be translated) is a public university, public research university located in Berlin, Germany. It was the first German university to adopt the name "Technische Universität" (university of technology). The university alumni and staff includes several United States National Academies, US National Academies members, two National Medal of Science laureates, the creator of the first fully functional programmable (electromechanical) computer, Konrad Zuse, and ten Nobel Prize laureates. TU Berlin is a member of TU9, an incorporated society of the largest and most notable German institutes of technology and of the Top International Managers in Engineering network, which allows for student exchanges between leading engineering schools. It belongs to the Conference of European Schools for Advanced Engineering Education and Research. The TU Berlin is home of ...
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Cologne Cathedral
Cologne Cathedral (, , officially , English: Cathedral Church of Saint Peter) is a cathedral in Cologne, North Rhine-Westphalia belonging to the Catholic Church. It is the seat of the Archbishop of Cologne and of the administration of the Archdiocese of Cologne. It is a renowned monument of German Catholicism and Gothic architecture and was declared a World Heritage Site in 1996. It is Germany's most visited landmark, attracting an average of 6 million people a year. At , the cathedral is the tallest twin-spired church in the world, the second tallest church in Europe after Ulm Minster, and the third tallest church of any kind in the world. Construction of Cologne Cathedral began in 1248 but was halted in the years around 1560, unfinished. Attempts to complete the construction began around 1814 but the project was not properly funded until the 1840s. The edifice was completed to its original medieval plan in 1880. The towers for its two huge spires give the cathedral the larg ...
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Technische Universität Ilmenau
The Technische Universität Ilmenau (''Ilmenau University of Technology'', TU Ilmenau) is a German public research university located in Ilmenau, Thuringia, central Germany. Founded in 1894, it has five academic departments (faculties) with about 4,900 students. Teaching and research are focused on the fields of technology (including computer science), mathematics and natural sciences, business and media. Introduction Background Research and education at the Technische Universität Ilmenau is focused on engineering with strong links to economics and natural sciences. It is the only university in the federal state of Thüringen with the title " Technische Universität". The university began its life in 1894 as the "Thüringisches Technikum", a private training college. This took on the status of "Hochschule für Elektrotechnik" (HfE) before becoming a "Technische Hochschule" (TH) and in 1992 being accorded the title of "Technische Universität" (TU). Academics TU I ...
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Fraunhofer Society
The Fraunhofer Society () is a German publicly-owned research organization with 76institutes spread throughout Germany, each focusing on different fields of applied science (as opposed to the Max Planck Society, which works primarily on Basic research, basic science). With some 30,800 employees, mainly scientists and engineers, and with an annual research budget of about €3.0billion, it is the biggest organization for applied research and development services in Europe. It is named after Joseph von Fraunhofer who, as a scientist, an engineer, and an entrepreneur, is said to have superbly exemplified the goals of the society. Some basic funding for the Fraunhofer Society is provided by the state (the German public, through the federal government together with the states or ''States of Germany, Länder'', "owns" the Fraunhofer Society), but more than 70% of the funding is earned through contract work, either for government-sponsored projects or from industry. Since the 1990s th ...
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Delft University
The Delft University of Technology (TU Delft; ) is the oldest and largest Dutch public technical university, located in Delft, Netherlands. It specializes in engineering, technology, computing, design, and natural sciences. It is considered one of the leading technical universities in Europe and is consistently ranked as one of the best schools for architecture and engineering in the world. According to the QS World University Rankings it ranked 3rd worldwide for architecture and 13th for Engineering & Technology in 2024. It also ranked 3rd best worldwide for mechanical and aerospace engineering, 3rd for civil and structural engineering, 11th for chemical engineering, and 12th for design. With eight faculties and multiple research institutes, TU Delft educates around 27,000 students (undergraduate and postgraduate), and employs more than 3,500 doctoral candidates and close to 4,500 teaching, research, support and management staff (including more than 1,300 faculty members ...
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