Reseña de Signal Processing in Space and Time
Signal Processing in Space and Time de Francisco Pinto Resumen del Libro
Sound waves propagate through space and time by transference of energy between the particles in the medium, which vibrate according to the oscillation patterns of the waves. These vibrations can be captured by a microphone and translated into a digital signal, representing the amplitude of the sound pressure as a function of time. The signal obtained by the microphone characterizes the time-domain behavior of the acoustic wave field, but has no information related to the spatial domain. The spatial information can be obtained by measuring the vibrations with an array of microphones distributed at multiple locations in space. This allows the amplitude of the sound pressure to be represented not only as a function of time but also as a function of space.
The use of microphone arrays creates a new class of signals that is somewhat unfamiliar to Fourier analysis. Current paradigms try to circumvent the problem by treating the microphone signals as multiple "cooperating" signals, and applying the Fourier analysis to each signal individually. Conceptually, however, this is not faithful to the mathematics of the wave equation, which expresses the acoustic wave field as a single function of space and time, and not as multiple functions of time.
The goal of this book is to provide a formulation of Fourier theory that treats the wave field as a single function of space and time, and allows it to be processed as a multidimensional signal using the theory of digital signal processing (DSP). We base this on a physical principle known as the Huygens principle, which essentially says that the wave field can be sampled at the surface of a given region in space and subsequently reconstructed in the same region, using only the samples obtained at the surface. To translate this into DSP language, we show that the Huygens principle can be expressed as a linear system that is both space- and time-invariant, and can be formulated as a convolution operation. If the input signal is transformed into the spatio-temporal Fourier domain, the system can also be analyzed according to its frequency response.
In the first half of the book, we derive theoretical results that express the 4-D Fourier transform of the wave field as a function of the parameters of the scene, such as the number of sources and their locations, the source signals, and the geometry of the microphone array. We also show that the wave field can be effectively analyzed on a small scale using what we call the space/time--frequency representation space, consisting of a Gabor representation across the spatio-temporal manifold defined by the microphone array. These results are obtained by treating the signals as continuous functions of space and time.
The second half of the book is dedicated to processing the wave field in discrete space and time, using Nyquist sampling theory and multidimensional filter banks theory. In particular, we show examples of orthogonal filter banks that effectively represent the wave field in terms of its elementary components while satisfying the requirements of critical sampling and perfect reconstruction of the input. We discuss the architecture of such filter banks, and demonstrate their applicability in the context of real applications, such as spatial filtering and wave field coding.
Nombre del libro | Signal Processing in Space and Time |
Género | Ingeniería |
Autor | Francisco Pinto |
Publicado | martes, 24 de abril de 2012 |
Idioma | Español |
Tamaño del e-libro | 123.27 MB |
Signal Processing in Space and Time (Francisco Pinto) Análisis y Personajes
¡Disfrute de transferencias máximas altas en más de 20 monedas mientras ahorra hasta un 90% en los bancos locales! La forma rápida y barata de enviar dinero al extranjero. ¡Transferencia gratuita hasta 500 Euro!
¿Sabías que puedes ganar 25 USD en nuestro sitio con solo registrarte? ¡Obtenga $25 gratis uniéndose a Payoneer!
¡Por favor espera! Signal Processing in Space and Time cargando comentarios del libro...
Comentario de Signal Processing in Space and Time, libro de Francisco Pinto
¿Ya leíste este libro? ¿Qué opinas del libro Signal Processing in Space and Time de Francisco Pinto? ¡Haga una pregunta a la comunidad de bookpedia.co sobre Signal Processing in Space and Time!
Signal Processing in Space and Time Libros Similares
Nombre del libro | Calificar | Reseñas | Precio |
Ingenieria Genetica. | 0/5 | 0 | Gratis |
Ingenieria Petrolera | 0/5 | 0 | Gratis |
Cuerpos inadecuados | 0/5 | 0 | 11,99 € |
Descarga de Signal Processing in Space and Time E-Book
El libro Signal Processing in Space and Time escrito por Francisco Pinto se publicó el martes, 24 de abril de 2012 en la categoría Ingeniería. Un total de 34 lectores del libro le dieron al libro 0 puntos sobre 5. Se actualizará el enlace de descarga del libro electrónico signal processing in space and time (123.27 MB)
Nombre del libro | Calificar | Reseñas | Precio |
Mejore el sueño, la visión, la cognición, la flexibilidad, la energía, la salud a largo plazo y más. Las fórmulas CORE de Performance Lab respaldan todos los aspectos del rendimiento humano, en todos los ámbitos de la vida. Aumenta el rendimiento laboral y la productividad con nootrópicos para concentrarse, realizar múltiples tareas bajo estrés, resolución creativa de problemas y más.
Coinbase es el lugar más fiable del mundo para comprar y vender criptodivisas. Abre una cuenta hoy mismo y, si compras o vendes 100 $ o más en criptodivisas, ¡recibirás 10 $ de Bitcoin gratis!
Nombre del libro | Autor | Precio |
Jasper es la plataforma de inteligencia artificial generativa para empresas que ayuda a su equipo a crear contenido personalizado para su marca 10 veces más rápido, dondequiera que trabaje en línea.