The ambiguity function is a mathematical representation used primarily in signal processing and radar systems to analyze and resolve the properties of signals, particularly in relation to time and frequency. It provides a way to describe how a signal correlates with itself at different time delays and frequency shifts.
A Craft Identification Number (CIN) is a unique identifier used to recognize specific vessels or crafts, particularly in the context of maritime activities. This number helps in tracking, registration, and identification of boats and ships within regulatory frameworks. In many countries, the CIN may be issued by a governing maritime authority and is often required for safety and compliance purposes. It can include details about the type of vessel, size, owner information, and other specifications.
The International Maritime Organization (IMO) number is a unique identification number assigned to ships and other maritime vessels. This number is assigned by the IMO and is designed to enhance maritime safety, security, and environmental protection by providing a way to track the history of a vessel throughout its operational life. The IMO number is a seven-digit number that is permanently assigned to a ship and does not change, even if the ship is sold or its name is changed.
The Naval Registry Identification Number (NRIN) is a unique identifier assigned to naval vessels and other maritime assets. It is used for tracking, registration, and identification purposes within various maritime registries. The NRIN facilitates the management of naval records, ensuring that each vessel can be uniquely identified and differentiated from others. In many cases, similar identifiers exist, such as the International Maritime Organization (IMO) number, which is widely used for commercial vessels.
The Rendleman–Bartter model, developed by Dale Rendleman and William Bartter in the early 1980s, is a financial model used to estimate the term structure of interest rates, particularly for zero-coupon bonds. This model is part of the broader class of term structure models, which seek to explain how interest rates vary with different maturities of debt instruments.
Radar signal processing is a crucial aspect of radar systems that involves the manipulation and analysis of radar signals for the purpose of detecting, tracking, and identifying objects such as aircraft, ships, weather patterns, and more. The primary goal of radar signal processing is to extract meaningful information from the raw radar signals received from the environment, which can be noisy and cluttered.
Signal processing filters are essential tools in digital signal processing (DSP) used to manipulate or modify signals. These filters allow for the separation, enhancement, or suppression of specific frequency components of a signal, making them invaluable in various applications, including audio processing, communications, and image processing. ### Types of Filters 1. **Linear Filters**: - **FIR (Finite Impulse Response) Filters**: These filters have a finite duration impulse response.
Statistical signal processing is a field that combines principles of statistics and signal processing to analyze and interpret signals that are subject to noise and uncertainty. It focuses on developing algorithms and methodologies to extract meaningful information from noisy or incomplete data. Here are some key aspects of statistical signal processing: 1. **Modeling Signals and Noise**: In statistical signal processing, signals are often modeled as random processes.
An autocorrelator is a mathematical tool used to measure the correlation of a signal with itself at different time lags. It helps in identifying repeating patterns or periodic signals within a dataset or a time series. The process involves comparing the signal at one point in time with the same signal offset by a certain time interval (the lag).
Analog signal processing refers to the manipulation of signals that are represented in continuous time and amplitude. Unlike digital signal processing, which deals with discrete signals and operates using binary values, analog signal processing involves handling real-world signals that vary smoothly over time. These signals can include audio, video, radar signals, and sensor outputs. Key aspects of analog signal processing include: 1. **Continuous Signals**: Analog signals are defined at every instance of time and can take on any value within a given range.
An analytic signal is a complex signal that is derived from a real-valued signal. It is particularly useful in the field of signal processing and communications because it allows for the separation of a signal into its amplitude and phase components. The analytic signal provides a way to represent a real signal using complex numbers, which can simplify many mathematical operations.
In complex analysis, the term "argument" refers to a specific property of complex numbers. The argument of a complex number is the angle that the line representing the complex number in the complex plane makes with the positive real axis.
Autocorrelation, also known as serial correlation, is a statistical measure that assesses the correlation of a signal with a delayed copy of itself as a function of the delay (or time lag). It essentially quantifies how similar a time series is with a lagged version of itself over different time periods. In the context of time series data, autocorrelation can help identify patterns over time, such as seasonality or cyclic behaviors.
Bit banging is a technique used in digital communication to manually control the timing and state of signals over a serial interface using software rather than dedicated hardware. It is commonly used for simple protocol implementations or for interfacing with devices when dedicated hardware support (like UART, SPI, or I2C peripherals) is not available or practical.
The Biot–Tolstoy–Medwin (BTM) diffraction model is a mathematical framework used to describe the sound propagation in underwater acoustics, particularly in shallow water environments. The model incorporates aspects of both geometrical and wave diffraction theories to analyze how sound waves interact with both the ocean surface and the seabed, as well as the boundaries of the water column. ### Key Features of the BTM Model 1.
The term "block transform" can refer to various concepts depending on the context in which it is used, particularly in fields like signal processing, image processing, and data communication. Below are a couple of interpretations: 1. **Signal and Image Processing**: In these domains, a block transform is often used to process data in fixed-size blocks or segments.
In signal processing, **coherence** is a measure of the correlation or relationship between two signals as a function of frequency. It quantifies the degree to which two signals are linearly related in the frequency domain. Coherence is particularly useful in the analysis of time series and signals where one wants to assess the extent to which different signals share a common frequency component. **Key Aspects of Coherence:** 1.
Random Pulse Width Modulation (RPWM) is a technique used in signal processing and control systems, particularly for applications such as power control in electrical systems, motor control, and audio signal processing. The basic idea behind pulse width modulation (PWM) is to vary the width of the pulses in a signal to control the average power delivered to a load.

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