Definitions of the units radian, neper, bel and decibel

The definition of coherent derived units in the International System of Units (SI) is reviewed, and the important role of the equations defining physical quantities is emphasized in obtaining coherent derived units. In the case of the dimensionless quantity plane angle, the choice between alternative definitions is considered, leading to a corresponding choice between alternative definitions of the coherent derived unit - the radian, degree or revolution. In this case the General Conference on Weights and Measures (CGPM) has chosen to adopt the definition that leads to the radian as the coherent derived unit in the SI. In the case of the quantity logarithmic decay (or gain), also sometimes called decrement, and sometimes called level, a similar choice of defining equation exists, leading to a corresponding choice for the coherent derived unit - the neper or the bel. In this case the CGPM has not yet made a choice. We argue that for the quantity logarithmic decay the most logical choice of defining equation is linked to that of the radian, and is that which leads to the neper as the corresponding coherent derived unit. This should not prevent us from using the bel and decibel as units of logarithmic decay. However, it is an important part of the SI to establish in a formal sense the equations defining physical quantities, and the corresponding coherent derived units.

Organizational, DS, GS, and depot maintenance manual : test set TS-140/PCM : signal generator SG-15/PCM and SG-15A/PCM, and decibel meter ME-22/PCM and ME-22A/PCM.

Includes index.

Jatkuvan äänitehojakautuman algoritmi pitkien käytävien äänikenttien mallintamiseen

JÄKÄLA-algoritmi (Jatkuvan Äänitehojakautuman algoritmi Käytävien Äänikenttien LAskentaan) ja sen NUMO- ja APPRO-laskentayhtälöt perustuvat käytävällä olevan todellisen äänilähteen kuvalähteiden symmetriaan. NUMO on algoritmin numeerisen ratkaisun ja APPRO likiarvoratkaisun laskentayhtälö. Algoritmia johdettaessa oletettiin, että absorptiomateriaali oli jakautunut tasaisesti käytävän ääntä heijastaville pinnoille. Suorakaiteen muotoisen käytävän kuvalähdetason muunto jatkuvaksi äänitehojakautumaksi sisältää kolme muokkausvaihetta. Aluksi suorakaiteen kuvalähdetaso muunnetaan neliön muotoiseksi. Seuraavaksi neliön muotoisen kuvalähdetason samanarvoiset kuvalähteet siirretään koordinaattiakselille diskreetiksi kuvalähdejonoksi. Lopuksi kuvalähdejono muunnetaan jatkuvaksi äänitehojakautumaksi, jolloin käytävän vastaanottopisteen äänenpainetaso voidaan laskea integroimalla jatkuvan äänitehojakautuman yli. JÄKÄLA-algoritmin validiteetin toteamiseksi käytettiin testattua kaupallista AKURI-ohjelmaa. AKURI-ohjelma antoi myös hyvän käsityksen siitä, miten NUMO- ja APPRO-yhtälöillä lasketut arvot mahdollisesti eroavat todellisilla käytävillä mitatuista arvoista. JÄKÄLA-algoritmin NUMO- ja APPRO-yhtälöitä testattiin myös vertaamalla niiden antamia tuloksia kolmen erityyppisen käytävän äänenpainetasomittauksiin. Tässä tutkimuksessa on osoitettu, että akustisen kuvateorian pohjalta on mahdollista johtaa laskenta-algoritmi, jota voidaan soveltaa pitkien käytävien äänikenttien pika-arvioinnissa paikan päällä. Sekä teoreettinen laskenta että käytännön äänenpainetasomittaukset todellisilla käytävillä osoittivat, että JÄKÄLA-algoritmin yhtälöiden ennustustarkkuus oli erinomainen ideaalikäytävillä ja hyvä niillä todellisilla käytävillä, joilla ei ollut ääntä heijastavia rakenteita. NUMO- ja APPRO-yhtälöt näyttäisivät toimivan hyvin käytävillä, joiden poikkileikkaus oli lähes neliön muotoinen ja joissa pintojen suurin absorptiokerroin oli korkeintaan kymmenen kertaa pienintä absorptiokerrointa suurempi. NUMO- ja APPRO-yhtälöiden suurin puute on, etteivät ne ota huomioon pintojen erilaisia absorptiokertoimia eivätkä esineistä heijastuvia ääniä. NUMO- ja APPRO- laskentayhtälöt poikkesivat mitatuista arvoista eniten käytävillä, joilla kahden vastakkaisen pinnan absorptiokerroin oli hyvin suuri ja toisen pintaparin hyvin pieni, ja käytävillä, joissa oli massiivisia, ääntä heijastavia pilareita ja palkkeja. JÄKÄLA-algoritmin NUMO- ja APPRO-yhtälöt antoivat tutkituilla käytävillä kuitenkin selvästi tarkempia arvoja kuin Kuttruffin likiarvoyhtälö ja tilastollisen huoneakustiikan perusyhtälö. JÄKÄLA-algoritmin laskentatarkkuutta on testattu vain neljällä todellisella käytävällä. Algoritmin kehittämiseksi tulisi jatkossa käytävän vastakkaisia pintoja ja niiden absorptiokertoimia käsitellä laskennassa pareittain. Algoritmin validiteetin varmistamiseksi on mittauksia tehtävä lisää käytävillä, joiden absorptiomateriaalien jakautumat poikkeavat toisistaan.

On logarithmic ratio quantities and their units

The use of special units for logarithmic ratio quantities is reviewed. The neper is used with a natural logarithm (logarithm to the base e) to express the logarithm of the amplitude ratio of two pure sinusoidal signals, particularly in the context of linear systems where it is desired to represent the gain or loss in amplitude of a single-frequency signal between the input and output. The bel, and its more commonly used submultiple, the decibel, are used with a decadic logarithm (logarithm to the base 10) to measure the ratio of two power-like quantities, such as a mean square signal or a mean square sound pressure in acoustics. Thus two distinctly different quantities are involved. In this review we define the quantities first, without reference to the units, as is standard practice in any system of quantities and units. We show that two different definitions of the quantity power level, or logarithmic power ratio, are possible. We show that this leads to two different interpretations for the meaning and numerical values of the units bel and decibel. We review the question of which of these alternative definitions is actually used, or is used by implication, by workers in the field. Finally, we discuss the relative advantages of the alternative definitions.

Unity as a unit

The arguments for regarding the number 1 as a unit of the SI are reviewed. Examples of dimensionless quantities are presented, and problems associated with representing the values of dimensionless quantities of very small magnitude are discussed. The logarithmic ratio units bel, decibel and neper are discussed.

Identificazione di markers morfologici e sierologici di vulnerabilità della placca carotidea

Introduzione: L’indicazione alla rivascolarizzazione carotidea è comunemente posta in base alla percentuale di stenosi, alla presenza di sintomi neurologici ed alle condizioni cliniche del paziente. Una placca ad elevato potenziale embolico viene definita “vulnerabile”; la sua caratterizzazione, tuttavia, non è universalmente accettata ai fini della rivascolarizzazione. Lo scopo dello studio è indagare il ruolo del mezzo di contrasto ecografico (CEUS) nell’identificazione della placca carotidea vulnerabile. Materiali e Metodi: I pazienti sottoposti a endoarterectomia carotidea, sono stati valutati mediante TC cerebrale preoperatoria e CEUS. Le microbolle di contrasto rilevate nella placca, indicative di neovascolarizzazione, sono state quantificate in dB-E ed istologicamente valutate per cinque caratteristiche: (densità dei microvasi, spessore del cappuccio fibroso, estensione delle calcificazioni, infiltrato infiammatorio e core lipidico) il valore da 1 a 5, ottenuto in cieco, indica in grado di vulnerabilità della placca. L'ANOVA test, il test di Fisher e t Student sono stati usati per correlare le caratteristiche dei pazienti ed istologiche col valore di dB-E. Risultati: Di 22 pazienti (range 2-7.8, media 4.85 ±1.9 SD) vi era un numero più alto di sintomatici (7.40 ± 0.5) rispetto agli asintomatici (3.5 ± 1.4) (p = 0.002). Un più alto valore di dB-E si associava con la presenza di un sottile cappuccino fibroso (<200 µm, 5.96±1.5 vs. 3 ± 1,p = 0.01) ed un maggiore infiltrato infiammatorio (3.2 ± 0.9 vs. 6.4 ± 1.2, p = 0.03). Placche con vulnerabilità 5 si associavano ad un valore più alto di dB-E rispetto alle placche con vulnerabilità 1 (7.6 ± 0.2 vs. 2.5 ± 0.6, rispettivamente, p=0.001). Preoperatoriamente, le lesioni emboliche ipsilaterali alla TC, correlavano con un più alto valore di dB-E (5.96±1.5 vs. 3.0±1.0, p=0.01). Conclusioni: Il valore di dB-E alla CEUS indica l’estensione della neovascolarizzazione della placca carotidea e può essere utilizzato come marker di vulnerabilità della placca.

Ultrasonic acoustic emissions in drought-stressed trees - more than signals from cavitation?

Ultrasonic acoustic emission (UAE) in trees is often related to collapsing water columns in the flow path as a result of tensions that are too strong (cavitation). However, in a decibel (dB) range below that associated with cavitation, a close relationship was found between UAE intensities and stem radius changes. • UAE was continuously recorded on the stems of mature field-grown trees of Scots pine (Pinus sylvestris) and pubescent oak (Quercus pubescens) at a dry inner-Alpine site in Switzerland over two seasons. The averaged 20-Hz records were related to microclimatic conditions in air and soil, sap-flow rates and stem-radius fluctuations de-trended for growth (ΔW). • Within a low-dB range (27 ± 1 dB), UAE regularly increased and decreased in a diurnal rhythm in parallel with ΔW on cloudy days and at night. These low-dB emissions were interrupted by UAE abruptly switching between the low-dB range and a high-dB range (36 ± 1 dB) on clear, sunny days, corresponding to the widely supported interpretation of UAE as sound from cavitations. • It is hypothesized that the low-dB signals in drought-stressed trees are caused by respiration and/or cambial growth as these physiological activities are tissue water-content dependent and have been shown to produce courses of CO2 efflux similar to our courses of ΔW and low-dB UAE.

Estudio de la precisión de los modelos de transistores de radiofrecuencia y su efecto en un circuito real

Este Proyecto Fin de Carrera trata sobre el estudio de la precisión de los modelos de transistores de radiofrecuencia y el efecto que la misma produce en un circuito real, como es la variabilidad de diversas magnitudes tales como la ganancia y el punto de compresión a 1 decibelio. Para ello se ha construido un circuito de pruebas que ha sido sometido a diversas simulaciones y sobre el que se han realizado numerosas medidas que han sido analizadas mediante software de análisis estadístico. This Final Year Project is about the study of the precision of models of radio frequency transistors and the effect it produces in a real circuit, as is the variability of various magnitudes such as gain and one‐decibel compression point. For this we have built a test circuit that has been subjected to various simulations and on which there have been numerous measures that have been analyzed by statistical analysis software.

Study of the calibration method of pressure-velocity probes and its application in a field of progressive plane waves

This dissertation presents a calibration procedure for a pressure velocity probe. The dissertation is divided into four main chapters. The first chapter is divided into six main sections. In the firsts two, the wave equation in fluids and the velocity of sound in gases are calculated, the third section contains a general solution of the wave equation in the case of plane acoustic waves. Section four and five report the definition of the acoustic impedance and admittance, and the practical units the sound level is measured with, i.e. the decibel scale. Finally, the last section of the chapter is about the theory linked to the frequency analysis of a sound wave and includes the analysis of sound in bands and the discrete Fourier analysis, with the definition of some important functions. The second chapter describes different reference field calibration procedures that are used to calibrate the P-V probes, between them the progressive plane wave method, which is that has been used in this work. Finally, the last section of the chapter contains a description of the working principles of the two transducers that have been used, with a focus on the velocity one. The third chapter of the dissertation is devoted to the explanation of the calibration set up and the instruments used for the data acquisition and analysis. Since software routines were extremely important, this chapter includes a dedicated section on them and the proprietary routines most used are thoroughly explained. Finally, there is the description of the work that has been done, which is identified with three different phases, where the data acquired and the results obtained are presented. All the graphs and data reported were obtained through the Matlab® routine. As for the last chapter, it briefly presents all the work that has been done as well as an excursus on a new probe and on the way the procedure implemented in this dissertation could be applied in the case of a general field.

Valoración económica de la reducción del ruido por tráfico vehicular: una aplicación para Medellín (Colombia)

El objetivo de este trabajo es la determinación de los beneficios económicos que obtendrían los hogares de zonas residenciales en la ciudad de Medellín (Colombia) por la reducción del ruido por tráfico vehicular. Para tal propósito se utilizó el método de valoración contingente en combinación con información de percepción de calidad acústica de los hogares. Este enfoque permitió estimar la disponibilidad a pagar esperada por la reducción de un decibel en los niveles de ruido a los cuales están expuestos los hogares. Los resultados demuestran que si  se aplica para la ciudad un programa, política o proyecto que logre una reducción generalizada de 5 decibeles en el ruido por tráfico vehicular los beneficios económicos agregados ascienden a 397 millones de pesos colombianos al año. El estudio concluye que estos resultados generan conocimiento importante para hacer más efectiva la toma de decisiones en el marco de políticas regionales con respecto a la gestión de la reducción del ruido por tráfico vehicular. 

Estructuras sub-longutud de onda para el diseño de dispositivos en guía dieléctrica

Sub-wavelength structures are enabling the design of devices based in dielectric waveguides with unprecedented performance in both the near-infrared and mid-infrared wavelength regions. These devices include fiber-to-chip grating couplers with sub-decibel efficiency, waveguide couplers with bandwidths of several hundred nanometers, and low loss suspended waveguides. Here we will report our progress in the electromagnetic modelling and simulation of sub-wavelength structures, providing at the same time an intuitive vision of their fundamental optical properties. Furthermore, we will address design strategies for several integrated optical devices based on these structures, and present the latest experimental results for structures operating both at near and mid-infrared wavelengths.