The SIAM Journal on Computing (SICOMP) is a peer-reviewed academic journal published by the Society for Industrial and Applied Mathematics (SIAM). It focuses on research in the field of computational mathematics and computer science, particularly in the overlap between these disciplines. The journal publishes original research articles that cover a wide range of topics, including algorithms, computational complexity, numerical analysis, and data structures, as well as theoretical aspects of computing.
The SIAM Journal on Scientific Computing (SISC) is a peer-reviewed academic journal published by the Society for Industrial and Applied Mathematics (SIAM). It focuses on the development and analysis of numerical algorithms and computational methods for solving scientific and engineering problems.
In signal processing, **bandwidth** refers to the range of frequencies within a given band, particularly in relation to its use in transmitting signals. It is a crucial concept that helps determine the capacity of a communication channel to transmit information. ### Key Aspects of Bandwidth: 1. **Definition**: - Bandwidth is typically defined as the difference between the upper and lower frequency limits of a signal or a system.
Blind equalization is a signal processing technique used to improve the quality of received signals that have been distorted during transmission. It is particularly useful in communication systems where the characteristics of the channel (such as noise, interference, or distortion) are not known a priori. The term "blind" signifies that the equalization process does not require training signals or reference input to guide the adaptation of the equalizer.
Chronux is an open-source software toolbox used for analyzing neural data, particularly in the fields of neuroscience and neurophysiology. It is designed to facilitate the study of time series data, such as signals from brain electroencephalography (EEG), magnetoencephalography (MEG), and other related fields.
Cognitive hearing science is an interdisciplinary field that explores the relationship between hearing and cognitive processes, such as attention, memory, and language. It investigates how auditory information is processed, integrated, and interpreted in the brain, focusing on both the physiological aspects of hearing and the cognitive mechanisms involved in making sense of sounds.
Eb/N0 is a critical parameter in digital communications that represents the ratio of the energy per bit (Eb) to the noise power spectral density (N0). It is a measure of the signal quality and is used to analyze the performance of communication systems, particularly in the presence of additive white Gaussian noise (AWGN). - **Eb (Energy per bit)**: This refers to the amount of energy that is allocated to each bit of the transmitted signal.
Estimation theory is a branch of statistics and mathematics that deals with the process of estimating the parameters of a statistical model. It involves techniques and methodologies used to make inferences about population parameters based on sampled data. The primary goal of estimation theory is to provide estimates that are as accurate and reliable as possible. Key concepts in estimation theory include: 1. **Parameters and Statistics**: Parameters are numerical values that summarize traits of a population (e.g.
A Fiber Multi-Object Spectrograph (FMOS) is an astronomical instrument that allows astronomers to observe and analyze the light from multiple celestial objects simultaneously using optical fibers. This type of spectrograph is designed to capture the spectra of many objects in a single observation, making it highly efficient for surveys and studies that require data from numerous sources.
A Field-Programmable Analog Array (FPAA) is a type of integrated circuit that allows for the configuration and reconfiguration of analog functions in a flexible manner, similar to how Field-Programmable Gate Arrays (FPGAs) work for digital circuits. FPAAs are designed to implement analog signal processing tasks in a wide range of applications, including communication systems, sensor interfacing, audio processing, and more.
In telecommunications, "gating" refers to a technique used to control the flow of signals in a communication system. It involves the deliberate opening or closing of a signal path, allowing or blocking the passage of data or voice signals. Gating can be implemented in various forms and serves multiple purposes, including: 1. **Signal Control**: Gating can help manage which signals are allowed to pass through a system, ensuring that only relevant or necessary data is transmitted.
Multiplex baseband refers to a type of signal processing and data transmission technique used primarily in telecommunications and networking. Baseband systems transmit data over a single channel using a frequency range that is effectively close to zero and does not modulate the carrier frequency, unlike broadband systems, which use a wider frequency range to carry multiple signals simultaneously. In multiplexing, multiple signals or data streams are combined into one signal over a shared medium, allowing for efficient use of bandwidth.
Heterodyne is a technique used in various fields, most notably in communications and signal processing, to convert a signal from one frequency to another. The fundamental principle behind heterodyning involves mixing two different frequencies to produce new frequencies, specifically the sum and difference of the original frequencies. ### Key Concepts of Heterodyne: 1. **Mixing Frequencies**: Heterodyne systems typically involve a local oscillator that generates a signal at a specific frequency.
The Hexagonal Efficient Coordinate System (HECS) is a spatial coordinate system that utilizes hexagonal grids for representing data in two-dimensional space. It is designed to optimize various attributes, such as efficiency in spatial representation, distance calculation, and neighbor identification, compared to traditional square grids. ### Key Features of HECS: 1. **Hexagonal Grids**: In a hexagonal grid, each cell is a hexagon, which allows for better packing of cells in a plane compared to squares.
Homomorphic filtering is a signal processing technique used primarily in image enhancement. The main idea behind homomorphic filtering is to separate an image into its illumination and reflectance components, allowing for the manipulation of these components separately to improve image quality. ### How it Works: 1. **Logarithmic Transformation**: The first step in homomorphic filtering involves taking the logarithm of the image intensity values. This transformation effectively linearizes the multiplicative relationship between the illumination and reflectance in the image.
Lanczos resampling is a mathematical technique used in digital image processing for resizing images. It utilizes the Lanczos kernel, which is based on sinc functions, to perform interpolation when changing the dimensions of an image—either upscaling or downscaling.
Microwave analog signal processing refers to the techniques and methods used to manipulate analog signals in the microwave frequency range, typically defined as frequencies from 1 GHz to 100 GHz (and sometimes extending up to several hundred GHz). This field bridges the gap between traditional analog signal processing and the unique requirements posed by microwave frequency signals, which are often involved in applications such as telecommunications, radar, satellite communications, and various sensing technologies.
Multiscale geometric analysis is an interdisciplinary approach that combines techniques from geometry, analysis, and often applied mathematics to study complex structures and their properties at multiple scales. The primary goal of this field is to understand how geometric features manifest at different resolutions or scales, which can be crucial for applications in areas such as materials science, image processing, and computer vision.
Phase margin is a measure of the stability of a control system in the frequency domain. It quantifies the system's ability to tolerate variations in system parameters and external disturbances before becoming unstable. Specifically, phase margin is defined as the amount of additional phase lag at the gain crossover frequency (the frequency at which the open-loop gain of the system is unity, or 0 dB) that would lead to instability.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





