Acoustic modeling using the digital waveguide mesh

The digital waveguide mesh has been an active area of music acoustics research for over ten years. Although founded in 1-D digital waveguide modeling, the principles on which it is based are not new to researchers grounded in numerical simulation, FDTD methods, electromagnetic simulation, etc. This article has attempted to provide a considerable review of how the DWM has been applied to acoustic modeling and sound synthesis problems, including new 2-D object synthesis and an overview of recent research activities in articulatory vocal tract modeling, RIR synthesis, and reverberation simulation. The extensive, although not by any means exhaustive, list of references indicates that though the DWM may have parallels in other disciplines, it still offers something new in the field of acoustic simulation and sound synth

Physics-based models for the acoustic representation of space in virtual environments

In questo lavoro sono state affrontate alcune questioni inserite nel tema pi\uf9 generale della rappresentazione di scene e ambienti virtuali in contesti d\u2019interazione uomo-macchina, nei quali la modalit\ue0 acustica costituisca parte integrante o prevalente dell\u2019informazione complessiva trasmessa dalla macchina all\u2019utilizzatore attraverso un\u2019interfaccia personale multimodale oppure monomodale acustica. Pi\uf9 precisamente \ue8 stato preso in esame il problema di come presentare il messaggio audio, in modo tale che lo stesso messaggio fornisca all\u2019utilizzatore un\u2019informazione quanto pi\uf9 precisa e utilizzabile relativamente al contesto rappresentato. Il fine di tutto ci\uf2 \ue8 riuscire a integrare all\u2019interno di uno scenario virtuale almeno parte dell\u2019informazione acustica che lo stesso utilizzatore, in un contesto stavolta reale, normalmente utilizza per trarre esperienza dal mondo circostante nel suo complesso. Ci\uf2 \ue8 importante soprattutto quando il focus dell\u2019attenzione, che tipicamente impegna il canale visivo quasi completamente, \ue8 volto a un compito specifico.This work deals with the simulation of virtual acoustic spaces using physics-based models. The acoustic space is what we perceive about space using our auditory system. The physical nature of the models means that they will present spatial attributes (such as, for example, shape and size) as a salient feature of their structure, in a way that space will be directly represented and manipulated by means of them

Multipurpose Programmable Integrated Photonics: Principles and Applications

[ES] En los últimos años, la fotónica integrada programable ha evolucionado desde considerarse un paradigma nuevo y prometedor para implementar la fotónica a una escala más amplia hacia convertirse una realidad sólida y revolucionaria, capturando la atención de numerosos grupos de investigación e industrias. Basada en el mismo fundamento teórico que las matrices de puertas lógicas programables en campo (o FPGAs, en inglés), esta tecnología se sustenta en la disposición bidimensional de bloques unitarios de lógica programable (en inglés: PUCs) que -mediante una programación adecuada de sus actuadores de fase- pueden implementar una gran variedad de funcionalidades que pueden ser elaboradas para operaciones básicas o más complejas en muchos campos de aplicación como la inteligencia artificial, el aprendizaje profundo, los sistemas de información cuántica, las telecomunicaciones 5/6-G, en redes de conmutación, formando interconexiones en centros de datos, en la aceleración de hardware o en sistemas de detección, entre otros. En este trabajo, nos dedicaremos a explorar varias aplicaciones software de estos procesadores en diferentes diseños de chips. Exploraremos diferentes enfoques de vanguardia basados en la optimización computacional y la teoría de grafos para controlar y configurar con precisión estos dispositivos. Uno de estos enfoques, la autoconfiguración, consiste en la síntesis automática de circuitos ópticos -incluso en presencia de efectos parasitarios como distribuciones de pérdidas no uniformes a lo largo del diseño hardware, o bajo interferencias ópticas y eléctricas- sin conocimiento previo sobre el estado del dispositivo. Hay ocasiones, sin embargo, en las que el acceso a esta información puede ser útil. Las herramientas de autocalibración y autocaracterización nos permiten realizar una comprobación rápida del estado de nuestro procesador fotónico, lo que nos permite extraer información útil como la corriente eléctrica que suministrar a cada actuador de fase para cambiar el estado de su PUC correspondiente, o las pérdidas de inserción de cada unidad programable y de las interconexiones ópticas que rodean a la estructura. Estos mecanismos no solo nos permiten identificar rápidamente cualquier PUC o región del chip defectuosa en nuestro diseño, sino que también revelan otra alternativa para programar circuitos fotónicos en nuestro diseño a partir de valores de corriente predefinidos. Estas estrategias constituyen un paso significativo para aprovechar todo el potencial de estos dispositivos. Proporcionan soluciones para manejar cientos de variables y gestionar simultáneamente múltiples acciones de configuración, una de las principales limitaciones que impiden que esta tecnología se extienda y se convierta en disruptiva en los próximos años.[CA] En els darrers anys, la fotònica integrada programable ha evolucionat des de considerarse un paradigma nou i prometedor per implementar la fotònica a una escala més ampla cap a convertir-se en una realitat sòlida i revolucionària, capturant l'atenció de nombrosos grups d'investigaciò i indústries. Basada en el mateix fonament teòric que les matrius de portes lògiques programable en camp (o FPGAs, en anglès), aquesta tecnología es sustenta en la disposición bidimensional de blocs units lògics programables (en anglès: PUCs) que -mitjançant una programación adequada dels seus actuadors de fase- poden implementar una gran varietat de funcionalitats que poden ser elaborades per a operacions bàsiques o més complexes en molts camps d'aplicació com la intel·ligència artificial, l'aprenentatge profund, els sistemes d'informació quàntica, les telecomunicacions 5/6-G, en xarxes de comutació, formant interconnexions en centres de dades, en l'acceleració de hardware o en sistemes de detecció, entre d'altres. En aquest treball, ens dedicarem a explorar diverses capatitats de programari d'aquests processadors en diferents dissenys de xips. Explorem diferents enfocaments de vanguardia basats en l'optimització computacional i la teoría de grafs per controlar i configurar amb precisió aquests dispositius. Un d'aquests enfocaments, l'autoconfiguració, tracta de la síntesi automática de circuits òptics -fins i tot en presencia d'efectes parasitaris com ara pèrdues no uniformes o crosstalk òptic i elèctric- sense cap coneixement previ sobre l'estat del dispositiu. Tanmateix, hi ha ocasions en les quals l'accés a aquesta información pot ser útil. Les eines d'autocalibració i autocaracterització ens permeten realizar una comprovació ràpida de l'estat del nostre procesador fotònic, el que ens permet obtener informació útil com la corrent eléctrica necessària per alimentar cada actuador de fase per canviar l'estat del seu PUC corresponent o la pèrdua d'inserció de cada unitat programable i de les interconnexions òptiques que envolten l'estructura. Aquests mecanisms no només ens permeten identificar ràpidament qualsevol PUC o área del xip defectuosa en el nostre disseny , sinó que també ens mostren una altra alternativa per programar circuits fotònics en el nostre disseny a partir de valors de corrent predefinits. Aquestes estratègies constitueixen un pas gegant per a aprofitar tot el potencial d'aquests dispositius. Proporcionen solucions per a gestionar centenars de variables i alhora administrar múltiples accions de configuració, una de les principals limitacions que impideixen que aquesta tecnología esdevingui disruptiva en els pròxims anys.[EN] In recent years, programmable integrated photonics (PIP) has evolved from a promising, new paradigm to deploy photonics to a larger scale to a solid, revolutionary reality, bringing up the attention of numerous research and industry players. Based on the same theoretical foundations than field-programmable gate arrays (FPGAs), this technology relies on common, two-dimensional integrated optical hardware configurations based on the interconnection of programmable unit cells (PUCs), which -by suitable programming of their phase actuators- can implement a variety of functionalities that can be elaborated for basic or more complex operation in many application fields, such as artificial intelligence, deep learning, quantum information systems, 5/6-G telecommunications, switching, data center interconnections, hardware acceleration and sensing, amongst others. In this work, we will dedicate ourselves to explore several software capabilities of these processors under different chip designs. We explore different cutting-edge approaches based on computational optimization and graph theory to precisely control and configure these devices. One of these, self-configuration, deals with the automated synthesis of optical circuit configurations -even in presence of parasitic effects such as nonuniform losses, optical and electrical crosstalk- without any need for prior knowledge about hardware state. There are occasions, though, in which accessing to this information may be of use. Self-calibration and self-characterization tools allow us to perform a quick check to our photonic processor's status, allowing us to retrieve useful pieces of information such as the electrical current needed to supply to each phase actuator to change its corresponding PUC state arbitrarily or the insertion loss of every unit cell and optical interconnection surrounding the structure. These mechanisms not only allow us to quickly identify any malfunctioning PUCs or chip areas in our design, but also reveal another alternative to program photonic circuits in our design from current pre-sets. These strategies constitute a gigantic step to unleash all the potential of these devices. They provide solutions to handle with hundreds of variables and simultaneously manage multiple configuration actions, one of the main limitations that prevent this technology to scale up and become disruptive in the years to come.López Hernández, A. (2023). Multipurpose Programmable Integrated Photonics: Principles and Applications [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/19686

Newton-Raphson Solution of Nonlinear Delay-Free Loop Filter Networks

For their numerical properties and speed of convergence, Newton-Raphson methods are frequently used to compute nonlinear audio electronic circuit models in the digital domain. These methods are traditionally employed regardless of preliminary considerations about their applicability, primarily because of a lack of flexible mathematical tools making the convergence analysis an easy task. We define the basin delimiter, a tool that can be applied to the case when the nonlinear circuit is modeled by a delay-free loop network. This tool is derived from a known convergence theorem providing a sufficient condition for quadratic speed of convergence of the method. After substituting the nonlinear characteristics with equivalent linear filters that compute Newton-Raphson on the existing network, through the basin delimiter, we figure out constraints guaranteeing quadratic convergence speed in the diode clipper. Further application to a ring modulator circuit does not lead to comparably useful constraints for quadratic convergence; however, also in this circuit, the basin delimiter has a magnitude roughly proportional to the number of iterations needed by the solver to find a solution. Together, such case studies foster refinement and generalization of this tool as a speed predictor, with potential application to the design of virtual analogue systems for real-time digital audio effects

Principles, fundamentals, and applications of programmable integrated photonics

[EN] Programmable integrated photonics is an emerging new paradigm that aims at designing common integrated optical hardware resource configurations, capable of implementing an unconstrained variety of functionalities by suitable programming, following a parallel but not identical path to that of integrated electronics in the past two decades of the last century. Programmable integrated photonics is raising considerable interest, as it is driven by the surge of a considerable number of new applications in the fields of telecommunications, quantum information processing, sensing, and neurophotonics, calling for flexible, reconfigurable, low-cost, compact, and low-power-consuming devices that can cooperate with integrated electronic devices to overcome the limitation expected by the demise of Moore¿s Law. Integrated photonic devices exploiting full programmability are expected to scale from application-specific photonic chips (featuring a relatively low number of functionalities) up to very complex application-agnostic complex subsystems much in the same way as field programmable gate arrays and microprocessors operate in electronics. Two main differences need to be considered. First, as opposed to integrated electronics, programmable integrated photonics will carry analog operations over the signals to be processed. Second, the scale of integration density will be several orders of magnitude smaller due to the physical limitations imposed by the wavelength ratio of electrons and light wave photons. The success of programmable integrated photonics will depend on leveraging the properties of integrated photonic devices and, in particular, on research into suitable interconnection hardware architectures that can offer a very high spatial regularity as well as the possibility of independently setting (with a very low power consumption) the interconnection state of each connecting element. Integrated multiport interferometers and waveguide meshes provide regular and periodic geometries, formed by replicating unit elements and cells, respectively. In the case of waveguide meshes, the cells can take the form of a square, hexagon, or triangle, among other configurations. Each side of the cell is formed by two integrated waveguides connected by means of a Mach¿Zehnder interferometer or a tunable directional coupler that can be operated by means of an output control signal as a crossbar switch or as a variable coupler with independent power division ratio and phase shift. In this paper, we provide the basic foundations and principles behind the construction of these complex programmable circuits. We also review some practical aspects that limit the programming and scalability of programmable integrated photonics and provide an overview of some of the most salient applications demonstrated so far.European Research Council; Conselleria d'Educació, Investigació, Cultura i Esport; Ministerio de Ciencia, Innovación y Universidades; European Cooperation in Science and Technology; Horizon 2020 Framework Programme.Pérez-López, D.; Gasulla Mestre, I.; Dasmahapatra, P.; Capmany Francoy, J. (2020). Principles, fundamentals, and applications of programmable integrated photonics. Advances in Optics and Photonics. 12(3):709-786. https://doi.org/10.1364/AOP.387155709786123Lyke, J. C., Christodoulou, C. G., Vera, G. A., & Edwards, A. H. (2015). An Introduction to Reconfigurable Systems. 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Integrated Microwave Photonic Processors using Waveguide Mesh Cores

Integrated microwave photonics changes the scaling laws of information and communication systems offering architectural choices that combine photonics with electronics to optimize performance, power, footprint and cost. Application Specific Photonic Integrated Circuits, where particular circuits/chips are designed to optimally perform particular functionalities, require a considerable number of design and fabrication iterations leading to long-development times and costly implementations. A different approach inspired by electronic Field Programmable Gate Arrays is the programmable Microwave Photonic processor, where a common hardware implemented by the combination of microwave, photonic and electronic subsystems, realizes different functionalities through programming. Here, we propose the first-ever generic-purpose Microwave Photonic processor concept and architecture. This versatile processor requires a powerful end-to-end field-based analytical model to optimally configure all their subsystems as well as to evaluate their performance in terms of the radiofrequency gain, noise and dynamic range. Therefore, we develop a generic model for integrated Microwave Photonics systems. The key element of the processor is the reconfigurable optical core. It requires high flexibility and versatility to enable reconfigurable interconnections between subsystems as well as the synthesis of photonic integrated circuits. For this element, we focus on a 2-dimensional photonic waveguide mesh based on the interconnection of tunable couplers. Within the framework of this Thesis, we have proposed two novel interconnection schemes, aiming for a mesh design with a high level of versatility. Focusing on the hexagonal waveguide mesh, we explore the synthesis of a high variety of photonic integrated circuits and particular Microwave Photonics applications that can potentially be performed on a single hardware. In addition, we report the first-ever demonstration of such reconfigurable waveguide mesh in silicon. We demonstrate a world-record number of functionalities on a single photonic integrated circuit enabling over 30 different functionalities from the 100 that could be potentially obtained with a simple seven hexagonal cell structure. The resulting device can be applied to different fields including communications, chemical and biomedical sensing, signal processing, multiprocessor networks as well as quantum information systems. Our work is an important step towards this paradigm and sets the base for a new era of generic-purpose photonic integrated systems.Los dispositivos integrados de fotónica de microondas ofrecen soluciones optimizadas para los sistemas de información y comunicación. Generalmente, están compuestos por diferentes arquitecturas en las que subsistemas ópticos y electrónicos se integran para optimizar las prestaciones, el consumo, el tamaño y el coste del dispositivo final. Hasta ahora, los circuitos/chips de propósito específico se han diseñado para proporcionar una funcionalidad concreta, requiriendo así un número considerable de iteraciones entre las etapas de diseño, fabricación y medida, que origina tiempos de desarrollo largos y costes demasiado elevados. Una alternativa, inspirada por las FPGA (del inglés Field Programmable Gate Array), es el procesador fotónico programable. Este dispositivo combina la integración de subsistemas de microondas, ópticos y electrónicos para realizar, mediante la programación de los mismos y sus interconexiones, diferentes funcionalidades. En este trabajo, proponemos por primera vez el concepto del procesador de propósito general, así como su arquitectura. Además, con el fin de diseñar, optimizar y evaluar las prestaciones básicas del dispositivo, hemos desarrollado un modelo analítico extremo a extremo basado en las componentes del campo electromagnético. El modelo desarrollado proporciona como resultado la ganancia, el ruido y el rango dinámico global para distintas configuraciones de modulación y detección, en función de los subsistemas y su configuración. El elemento principal del procesador es su núcleo óptico reconfigurable. Éste requiere un alto grado de flexibilidad y versatilidad para reconfigurar las interconexiones entre los distintos subsistemas y para sintetizar los circuitos para el procesado óptico. Para este subsistema, proponemos el diseño de guías de onda reconfigurables para la creación de mallados bidimensionales. En el marco de esta tesis, hemos propuesto dos nuevos nodos de interconexión óptica para mallas reconfigurables, con el objetivo de obtener un mayor grado de versatilidad. Una vez escogida la malla hexagonal para el núcleo del procesador, hemos analizado la configuración de un gran número de circuitos fotónicos integrados y de funcionalidades de fotónica de microondas. El trabajo se ha completado con la demonstración de la primera malla reconfigurable integrada en un chip de silicio, demostrando además la síntesis de 30 de las 100 funcionalidades que potencialmente se pueden obtener con la malla diseñada compuesta de 7 celdas hexagonales. Este hecho supone un record frente a los sistemas de propósito específico. El sistema puede aplicarse en diferentes campos como las comunicaciones, los sensores químicos y biomédicos, el procesado de señales, la gestión y procesamiento de redes y los sistemas de información cuánticos. El conjunto del trabajo realizado representa un paso importante en la evolución de este paradigma, y sienta las bases para una nueva era de dispositivos fotónicos de propósito general.Els dispositius integrats de Fotònica de Microones oferixen solucions optimitzades per als sistemes d'informació i comunicació. Generalment, estan compostos per diferents arquitectures en què subsistemes òptics i electrònics s'integren per a optimitzar les prestacions, el consum, la grandària i el cost del dispositiu final. Fins ara, els circuits/xips de propòsit específic s'han dissenyat per a proporcionar una funcionalitat concreta, requerint així un nombre considerable d'iteracions entre les etapes de disseny, fabricació i mesura, que origina temps de desenrotllament llargs i costos massa elevats. Una alternativa, inspirada per les FPGA (de l'anglés Field Programmable Gate Array), és el processador fotònic programable. Este dispositiu combina la integració de subsistemes de microones, òptics i electrònics per a realitzar, per mitjà de la programació dels mateixos i les seues interconnexions, diferents funcionalitats. En este treball proposem per primera vegada el concepte del processador de propòsit general, així com la seua arquitectura. A més, a fi de dissenyar, optimitzar i avaluar les prestacions bàsiques del dispositiu, hem desenrotllat un model analític extrem a extrem basat en els components del camp electromagnètic. El model desenrotllat proporciona com resultat el guany, el soroll i el rang dinàmic global per a distintes configuracions de modulació i detecció, en funció dels subsistemes i la seua configuració. L'element principal del processador és el seu nucli òptic reconfigurable. Este requerix un alt grau de flexibilitat i versatilitat per a reconfigurar les interconnexions entre els distints subsistemes i per a sintetitzar els circuits per al processat òptic. Per a este subsistema, proposem el disseny de guies d'onda reconfigurables per a la creació de mallats bidimensionals. En el marc d'esta tesi, hem proposat dos nous nodes d'interconnexió òptica per a malles reconfigurables, amb l'objectiu d'obtindre un major grau de versatilitat. Una vegada triada la malla hexagonal per al nucli del processador, hem analitzat la configuració d'un gran nombre de circuits fotónicos integrats i de funcionalitats de fotónica de microones. El treball s'ha completat amb la demostració de la primera malla reconfigurable integrada en un xip de silici, demostrant a més la síntesi de 30 de les 100 funcionalitats que potencialment es poden obtindre amb la malla dissenyada composta de 7 cèl·lules hexagonals. Este fet suposa un rècord enfront dels sistemes de propòsit específic. El sistema pot aplicarse en diferents camps com les comunicacions, els sensors químics i biomèdics, el processat de senyals, la gestió i processament de xarxes i els sistemes d'informació quàntics. El conjunt del treball realitzat representa un pas important en l'evolució d'este paradigma, i assenta les bases per a una nova era de dispositius fotónicos de propòsit general.Pérez López, D. (2017). Integrated Microwave Photonic Processors using Waveguide Mesh Cores [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/91232TESI

Modeling EMI Resulting from a Signal Via Transition Through Power/Ground Layers

Signal transitioning through layers on vias are very common in multi-layer printed circuit board (PCB) design. For a signal via transitioning through the internal power and ground planes, the return current must switch from one reference plane to another reference plane. The discontinuity of the return current at the via excites the power and ground planes, and results in noise on the power bus that can lead to signal integrity, as well as EMI problems. Numerical methods, such as the finite-difference time-domain (FDTD), Moment of Methods (MoM), and partial element equivalent circuit (PEEC) method, were employed herein to study this problem. The modeled results are supported by measurements. In addition, a common EMI mitigation approach of adding a decoupling capacitor was investigated with the FDTD method

Contributions to discrete-time methods for room acoustic simulation

The sound field distribution in a room is the consequence of the acoustic properties of radiating sources and the position, geometry and absorbing characteristics of the surrounding boundaries in an enclosure (boundary conditions). Despite there existing a consolidated acoustic wave theory, it is very difficult, nearly impossible, to find an analytical expression of the sound variables distribution in a real room, as a function of time and position. This scenario represents as an inhomogeneous boundary value problem, where the complexity of source properties and boundary conditions make that problem extremely hard to solve. Room acoustic simulation, as treated in this thesis, comprises the algebraical approach to solve the wave equation, and the way to define the boundary conditions and source modeling of the scenario under analysis. Numerical methods provide accurate algorithms for this purpose and among the different possibilities, the use of discrete-time methods arises as a suitable solution for solving those partial differential equations, particularized by some specific constrains. Together with the constant growth of computer power, those methods are increasing their suitability for room acoustic simulation. However, there exists an important lack of accuracy in the definition of some of these conditions so far: current frequency-dependent boundary conditions do not comply with any physical model, and directive sources in discrete-time methods have been hardly treated. This thesis discusses about the current state-of-the-art of the boundary conditions and source modeling in discrete-time methods for room acoustic simulation, and it contributes some algorithms to enhance boundary condition formulation, in a locally reacting impedance sense, and source modelling in terms of directive sources under a defined radiation pattern. These algorithms have been particularized to some discrete-time methods such as the Finite Difference Time Domain and the Digital Waveguide Mesh.Escolano Carrasco, J. (2008). Contributions to discrete-time methods for room acoustic simulation [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/8309Palanci