Documentation

Algorithm Implementation

Algorithm development for fixed-point data

Functions

 bitand Bitwise AND of two fi objects bitor Bitwise OR of two fi objects bitshift Shift bits specified number of places
 cordicabs CORDIC-based absolute value cordicangle CORDIC-based phase angle cordicatan2 CORDIC-based four quadrant inverse tangent cordiccart2pol CORDIC-based approximation of Cartesian-to-polar conversion cordiccexp CORDIC-based approximation of complex exponential cordiccos CORDIC-based approximation of cosine cordicpol2cart CORDIC-based approximation of polar-to-Cartesian conversion cordicrotate Rotate input using CORDIC-based approximation cordicsin CORDIC-based approximation of sine cordicsincos CORDIC-based approximation of sine and cosine cordicsqrt CORDIC-based approximation of square root cordictanh CORDIC-based hyperbolic tangent
 fi Construct fixed-point numeric object filter One-dimensional digital filter of fi objects for Execute statements specified number of times mean Average or mean value of fixed-point array median Median value of fixed-point array sqrt Square root of fi object

Examples and How To

CORDIC

Develop Fixed-Point Algorithms

Develop and verify a simple fixed-point algorithm.

Compute Sine and Cosine Using CORDIC Rotation Kernel

This example shows how to compute sine and cosine using a CORDIC rotation kernel in MATLAB.

Calculate Fixed-Point Arctangent

This example shows how to use the CORDIC algorithm, polynomial approximation, and lookup table approaches to calculate the fixed-point, four quadrant inverse tangent.

Convert Cartesian to Polar Using CORDIC Vectoring Kernel

This example shows how to convert Cartesian to polar coordinates using a CORDIC vectoring kernel algorithm in MATLAB.

Lookup Tables

Normalize Data for Lookup Tables

This example shows how to normalize data for use in lookup tables.

Implement Fixed-Point Log2 Using Lookup Table

This example shows how to implement fixed-point log2 using a lookup table. Lookup tables generate efficient code for embedded devices.

Implement Fixed-Point Square Root Using Lookup Table

This example shows how to implement fixed-point square root using a lookup table.

System Objects

Convert dsp.FIRFilter Object to Fixed-Point Using the Fixed-Point Converter App

This example converts a dsp.FIRFilter System object™, which filters a high-frequency sinusoid signal, to fixed-point using the Fixed-Point Converter app.

Application Areas

Fixed-Point Design Exploration in Parallel

This example shows how to explore and test fixed-point designs by distributing tests across many computers in parallel.

Real-Time Image Acquisition, Image Processing, and Fixed-Point Blob Analysis for Target Practice Analysis

Acquire real-time images from a webcam, process the images using fixed-point blob analysis, and determine world coordinates to score target practice using a laser pistol

Concepts

fimath for Rounding and Overflow Modes

Gives an example that shows that the order in which you set overflow action and rounding method matters

fimath for Sharing Arithmetic Rules

Gives an example of using a fimath object to share modular arithmetic information among multiple fi objects

fimath ProductMode and SumMode

Shows the differences among the different settings of the ProductMode and SumMode properties

How Functions Use fimath

Describes which functions ignore or discard fimath

System Objects Supported by Fixed-Point Converter App

You can use the Fixed-Point Converter app to automatically propose and apply data types for commonly used system objects.

Troubleshooting

Mismatched fimath Errors

How to fix mismatched fimath errors

fi Constructor Does Not Follow globalfimath Rules

How to get the fi constructor to follow globalfimath rules

A fraction length greater than the word length of a fixed-point number occurs when the number has an absolute value less than one and contains leading zeros.

Why Does the Fixed-Point Converter App Not Propose Data Types for System Objects?

How to troubleshoot missing data type proposals for System objects

Featured Examples

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