A median filter is a non-linear digital filtering technique commonly used in image processing to reduce noise while preserving edges. It operates by moving a window (or kernel) over the image and replacing the value of each pixel with the median value of the pixels in the surrounding neighborhood defined by the window.
Mercury Systems, Inc. is a technology company that specializes in providing electronic hardware, software, and services for the defense and aerospace industries. Founded in 1981 and headquartered in Chelmsford, Massachusetts, Mercury Systems focuses on developing advanced computing and embedded systems that support secure and high-performance applications. Their product offerings include systems for radar, electronic warfare, and avionics, among others.
Multidimensional Empirical Mode Decomposition (MEMD) is an advanced signal processing technique, an extension of the traditional Empirical Mode Decomposition (EMD) used primarily for analyzing one-dimensional signals. EMD is a method designed to decompose a signal into a set of intrinsic mode functions (IMFs) that better capture its oscillatory modes, enabling more effective analysis, filtering, and interpretation of complex signals.
An optical spectrometer is an instrument used to measure the properties of light across a specific portion of the electromagnetic spectrum. This device primarily analyzes the intensity of light as a function of its wavelength or frequency. Optical spectrometers can be utilized to examine various materials or phenomena by providing insights into the composition, structure, and other characteristics of the sample being studied. Key components of an optical spectrometer typically include: 1. **Light Source**: Provides the light needed for analysis.
Multiplicative noise is a type of stochastic noise that affects a signal by multiplying the signal itself by a random fluctuation, rather than adding a noise term, which would be considered additive noise. In other words, the noise scales the original signal rather than simply being independent of it. ### Characteristics of Multiplicative Noise: 1. **Dependency**: The noise is dependent on the signal amplitude.
Non-linear multi-dimensional signal processing refers to the techniques and methods used to analyze, manipulate, and interpret signals that exhibit non-linear behavior in multiple dimensions. Unlike linear signal processing, where the relationships between inputs and outputs can be described by linear equations, non-linear signal processing deals with more complex relationships that can involve various phenomena such as distortion, chaos, and intensity dependent effects.
As of my last update in October 2021, "Norator" isn't a widely recognized term or name within well-known contexts, such as technology, literature, or popular culture. It's possible that it could refer to a niche concept, a brand, a product, or software that has emerged after my last update, or it might be a misspelling or variation of another term.
A nullator is a theoretical electronic component used in circuit design and analysis, particularly in the context of nullor circuits. It is characterized by having zero voltage across its terminals (like a short circuit) and allowing no current to flow through it (like an open circuit). Essentially, a nullator is a device that can impose specific conditions on a circuit without affecting the overall operation, leading to simplified circuit analysis.
A **Nullor** is a theoretical two-port network used in circuit theory and is often represented in the context of electrical engineering. It is essentially a circuit component that models an idealized situation where no current flows and no voltage drops, making it useful for analyzing and simplifying complex circuits.
Periodic summation refers to the process of summing a sequence of values or a function over one or more periods of a periodic function. It is often encountered in the context of mathematical analysis, signal processing, and fields where periodic or cyclic phenomena are studied. ### Key Concepts: 1. **Periodicity**: A function or sequence is periodic if it repeats its values at regular intervals. For example, the sine and cosine functions are periodic with a period of \(2\pi\).
Photon noise, also known as shot noise, is a type of statistical fluctuation in the measurement of light due to the discrete nature of photons. It arises from the fact that light, like other forms of electromagnetic radiation, is quantized; it is made up of individual packets of energy called photons. ### Key Aspects of Photon Noise: 1. **Quantum Nature of Light**: Light is not continuous; it consists of separate photons. When measuring the intensity of light (e.g.
The Poisson wavelet is a type of wavelet that is used in signal processing, image analysis, and other fields requiring multi-resolution analysis. It is derived from the Poisson distribution, which arises in the context of probabilistic processes and is characterized by its relation to events that occur independently over a fixed interval.
A pole-zero plot is a graphical representation used in control theory, signal processing, and systems analysis to visualize the poles and zeros of a transfer function, which describes the behavior of a linear time-invariant (LTI) system.
The sinc function is a mathematical function defined in relation to the sine function. There are two commonly used definitions for the sinc function: 1. **Normalized sinc function**: \[ \text{sinc}(x) = \frac{\sin(\pi x)}{\pi x} \quad \text{for } x \neq 0 \] \[ \text{sinc}(0) = 1 \] 2.
A radio-frequency (RF) sweep refers to a systematic process in which a signal or range of frequencies is transmitted or analyzed across a specified bandwidth. This technique is commonly used in various fields, including telecommunications, wireless communication, radar systems, and electronic testing. Here are key aspects of an RF sweep: 1. **Purpose**: The primary goal of an RF sweep is to assess the frequency response of a system or device.
Reconstruction from projections refers to a computational process used in imaging techniques, such as computed tomography (CT), magnetic resonance imaging (MRI), and other forms of tomographic imaging. The idea is to create a three-dimensional representation or image of an object (or a specific volume of interest) based on two-dimensional projection data collected from various angles around the object. ### Key Concepts 1. **Projections**: These are 2D images or data slices obtained from different angles or orientations.
Recurrence Period Density Entropy (RPDE) is a concept used in the analysis of dynamical systems, particularly in the study of time series data to assess the complexity and predictability of the underlying processes. It is closely related to concepts from chaos theory and nonlinear dynamics. **Key Concepts:** 1. **Recurrence:** In the context of dynamical systems and time series, a recurrence refers to the phenomenon where a state of the system returns to a previously visited state.
Recurrence Quantification Analysis (RQA) is a set of techniques used to analyze the dynamical behavior of complex systems by examining the patterns of recurrence in time series data. It is particularly useful in the study of nonlinear and chaotic systems, where traditional linear methods may not be adequate. RQA involves constructing a "recurrence plot," a visual representation that illustrates when a dynamical system returns to a previous state.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact