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CORDIC: History & Applications

CORDIC, short for coordinate rotation digital computer, is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots, multiplications, divisions, exponentials, and logarithms with arbitrary base, typically converging with one digit (or bit) per iteration. CORDIC is therefore an example of a digit-by-digit…

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CORDIC topic overview

The analysis highlights History and Applications as prominent areas in the source structure around CORDIC.

Related topics
101
Source areas
7
Connected nodes
108
Extracted relationships
76
Related term clusters
33
Bridge connections
108

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

History · 48 topics
Applications · 21 topics
Overview · 21 topics
Implementation · 4 topics
Modes of operation · 4 topics
Related algorithms · 2 topics
Concept · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Concept

History

Applications

Modes of operation

Implementation

Related algorithms

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How CORDIC connects Entity context

The extracted context around CORDIC shows recurring relationship patterns in the source. For example, CORDIC → Apollo, ASIC, FPGA, Intel, IP, Lunar, Lunar Roving Vehicle, Vivado, Xilinx Another extracted example is CORDIC → B-58, Convair, CPUs, Henry Briggs, Jack, Robert Flower, Similar, Therefore, Volder. Use these groups to spot repeated connection types before inspecting the individual relationships.

CORDIC

Top relations

related to Hardware · 9
CORDIC → Apollo, ASIC, FPGA, Intel, IP, Lunar, Lunar Roving Vehicle, Vivado, Xilinx
related to history · 9
CORDIC → B-58, Convair, CPUs, Henry Briggs, Jack, Robert Flower, Similar, Therefore, Volder
related to Double iterations CORDIC · 5
CORDIC → Double, Hence, R-1, Vladimir Baykov, Whereas
related to Related algorithms · 4
CORDIC → Another, BKM, Henry Briggs, The BKM
related to Software · 3
CORDIC → CPUs, IEEE, Many
is a · 2
CORDIC → special case of GH CORDIC.Originally, standard drop-in IP in FPGA development applications such as Vivado for Xilinx
related to Hardware example · 2
CORDIC → CORDIC-based, CORDICs
related to Rotation mode · 2
CORDIC → Successive, Using CORDIC
has application · 1
CORDIC → QR
related to Concept · 1
CORDIC → See Modes

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle functions algorithm rotation hewlett-packard pdf used algorithms archived original hyperbolic iterations cosine angle value hardware sine vector retrieved digital

CORDIC relationships Subject–Predicate–Object triples

TTTA extracted 76 structured relationships around CORDIC. Examples in this analysis include CORDIC → is a → special case of GH CORDIC.Originally and CORDIC → is a → standard drop-in IP in FPGA development applications such as Vivado for Xilinx. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
CORDICis aspecial case of GH CORDIC.Originally0.90text
CORDICis astandard drop-in IP in FPGA development applications such as Vivado for Xilinx0.90text
the calculation of trigonometricinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
hyperbolicinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
logarithmic functionsinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
realinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
complex multiplicationinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
divisioninstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
square-root calculationinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
solution of linear systemsinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
eigenvalue estimationinstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text
singular value decompositioninstance ofApplicationsCORDIC uses simple shift-add operations for several computing tasks0.80text

Related concept clusters Related term clusters

The concept neighborhoods around CORDIC bring nearby vocabulary together. In this analysis, examples include Functions, Algorithm and Hyperbolic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • CORDIC
    • Functions
    • Algorithm
    • Hyperbolic
    • Hardware
    • Used
    • Series
    • Implementation
    • Number
    • Based
    • Computer
    • Floating-point
    • Digital
  • cordic
    • Functions
    • Algorithm
    • Hyperbolic
    • Hardware
    • Used
    • Series
    • Implementation
    • Number
    • Based
    • Computer
    • Floating-point
    • Digital
  • algorithm
    • Computer
    • Implementation
    • Cordic
    • Hyperbolic
    • Volder
    • Functions
    • Digital
    • Used
    • Logarithms
    • Square
    • System
    • Trigonometric
  • trigonometric functions
    • Hyperbolic
    • Trigonometric
    • Number
    • Hardware
    • Algorithms
    • Calculator
    • Sine
    • Using
    • Value
    • Iterations
    • Logarithms
    • Retrieved
  • hyperbolic functions
    • Hyperbolic
    • Logarithms
    • Trigonometric
    • Number
    • Iterations
    • Hardware
    • Implementation
    • Algorithms
    • Value
    • Calculator
    • Sine
    • Square
  • coordinate rotation
    • Vector
    • Angle
    • Displaystyle
    • Logarithms
    • Iteration
    • Rotation
    • Sine
    • Cosine
    • Hyperbolic
    • Value
    • Square
    • Using
  • exponential functions
    • Hyperbolic
    • Trigonometric
    • Number
    • Hardware
    • Algorithms
    • Calculator
    • Sine
    • Value
    • Iterations
    • Logarithms
    • Computing
    • Implementation
  • bkm algorithm
    • Computer
    • Implementation
    • Cordic
    • Hyperbolic
    • Volder
    • Functions
    • Digital
    • Used
    • Logarithms
    • Square
    • System
    • Trigonometric

Connections between topic areas Semantic bridges

For CORDIC, one of the stronger structural bridges in this analysis connects CORDIC with History. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
CORDIC — History · splits 60 ⟂ 49
CORDIC — Overview · splits 87 ⟂ 22
CORDIC — Applications · splits 87 ⟂ 22
CORDIC — Modes of operation · splits 104 ⟂ 5
CORDIC — Implementation · splits 104 ⟂ 5
CORDIC — Related algorithms · splits 106 ⟂ 3

Map overview Semantic statistics

CORDIC

Nodes109
Edges108
Triples76
Avg. degree1.98
Density0.018349
Components1

Source & methodology

TTTA analyzes the structure around CORDIC to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Applications, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — CORDIC · EN edition · Analysis: TopicsToTalkAbout

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