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iterFlatTopPulse

Create an iterator which generates a flat top pulse waveform.

A flat top pulse waveform is represented by the following equation

$$f(t; \tau, A, \varphi) = \begin{align*} A\biggl(a_0 &- a_1 \cos\frac{2\pi (t-\varphi)}{\tau-1} + a_2 \cos\frac{2\pi(t-\varphi)}{\tau-1} \\ &- a_3 \cos\frac{2\pi(t-\varphi)}{\tau-1} + a_4 \cos \frac{2\pi (t-\varphi)}{\tau-1} \biggr)\end{align*}$$

when (t-φ)%T < τ and where T is the pulse period, τ is the pulse duration, A is the amplitude, and φ is the phase offset. The waveform is 0 otherwise.

The coefficients are

• a_0: 0.21557895
• a_1: 0.41663158
• a_2: 0.277263158
• a_3: 0.083578947
• a_4: 0.006947368

Installation

npm install @stdlib/simulate-iter-flat-top-pulse

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

var iterFlatTopPulse = require( '@stdlib/simulate-iter-flat-top-pulse' );

iterFlatTopPulse( [options] )

Returns an iterator which generates a flat top pulse waveform.

var it = iterFlatTopPulse();
// returns <Object>

var v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

// ...

The returned iterator protocol-compliant object has the following properties:

• next: function which returns an iterator protocol-compliant object containing the next iterated value (if one exists) assigned to a value property and a done property having a boolean value indicating whether the iterator is finished.
• return: function which closes an iterator and returns a single (optional) argument in an iterator protocol-compliant object.

The function supports the following options:

• period: pulse period (i.e., the number of iterations before a waveform repeats). Default: 100.
• duration: pulse duration. Must be greater than 2. Default: options.period.
• amplitude: amplitude. Default: 1.0.
• offset: phase offset (in units of iterations; zero-based). A negative offset translates a waveform to the left. A positive offset translates a waveform to the right. Default: 0.
• iter: number of iterations. Default: 1e308.

By default, the function returns an iterator which generates a waveform that repeats every 100 iterations. To specify an alternative period, set the period option.

var opts = {
    'period': 10
};

var it = iterFlatTopPulse( opts );
// returns <Object>

var v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

// ...

By default, the function returns an iterator which generates a waveform that has a duty cycle of 100% (i.e., the waveform duration equals the waveform period). To specify an alternative duty cycle, set the duration option. For example, to generate a waveform having a period of 10 iterations and a 50% duty cycle,

var opts = {
    'period': 10,
    'duration': 5 // 5/10 = 0.50 => 50%
};

var it = iterFlatTopPulse( opts );
// returns <Object>

var v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

// ...

To adjust at what point the iterator begins in the waveform cycle, set the phase offset option. For example, to translate the waveform to the left,

var opts = {
    'period': 10,
    'duration': 5,
    'offset': -7
};

var it = iterFlatTopPulse( opts );
// returns <Object>

var v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

// ...

To translate the waveform to the right,

var opts = {
    'period': 10,
    'duration': 5,
    'offset': 2
};

var it = iterFlatTopPulse( opts );
// returns <Object>

var v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

// ...

By default, the function returns an infinite iterator (i.e., an iterator which never ends). To limit the number of iterations, set the iter option.

var opts = {
    'iter': 2
};
var it = iterFlatTopPulse( opts );
// returns <Object>

var v = it.next().value;
// returns <number>

v = it.next().value;
// returns <number>

var bool = it.next().done;
// returns true

Notes

• If an environment supports Symbol.iterator, the returned iterator is iterable.

Examples

var iterFlatTopPulse = require( '@stdlib/simulate-iter-flat-top-pulse' );

// Create an iterator:
var opts = {
    'period': 50,
    'duration': 25,
    'amplitude': 10.0,
    'offset': -25,
    'iter': 100
};
var it = iterFlatTopPulse( opts );

// Perform manual iteration...
var v;
while ( true ) {
    v = it.next();
    if ( v.done ) {
        break;
    }
    console.log( v.value );
}

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See Also

• @stdlib/simulate-iter/pulse: create an iterator which generates a pulse waveform.

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Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.