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Particle Filter (MCL) Effective Sample Size Calculator

Easily calculate and compute particle filter (mcl) effective sample size calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
63 particles

Effective Sample Size (N_eff)

Effective Sample Size (N_eff)

63 particles

Resampling Threshold Particles

250

Degeneracy Ratio Neff Over N

0.125

Suggested Random Injected Particles

25

Filter Health Action

TRIGGER SYSTEMATIC RESAMPLING (Weight Degeneracy Detected)

63 — particles

Calculation Breakdown

  1. Applied FormulaMonitors particle weight degeneracy in Monte Carlo Localization (MCL / particle filter) to trigger low-variance systematic resampling when effective sample size Neff drops below threshold.N_{\text{eff}} = \frac{1}{\sum_{i=1}^N (w_i)^2}, \quad N_{\text{thresh}} = \frac{N}{2}

Particle Filter N_eff Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.016324763Effective Sample Size (N_eff)

What Is the Particle Filter (MCL) Effective Sample Size Calculator?

This tool computes particle filter (mcl) effective sample size calculator with high precision arithmetic.

How Does the Particle Filter (MCL) Effective Sample Size Calculator Work?

Monitors particle weight degeneracy in Monte Carlo Localization (MCL / particle filter) to trigger low-variance systematic resampling when effective sample size Neff drops below threshold.

Particle Filter (MCL) Effective Sample Size Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Neff=1∑i=1N(wi)2,Nthresh=N2N_{\text{eff}} = \frac{1}{\sum_{i=1}^N (w_i)^2}, \quad N_{\text{thresh}} = \frac{N}{2}

Monitors particle weight degeneracy in Monte Carlo Localization (MCL / particle filter) to trigger low-variance systematic resampling when effective sample size Neff drops below threshold.

How to Use the Particle Filter (MCL) Effective Sample Size Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Particle Filter (MCL) Effective Sample Size Calculator Example

Input Values:

totalParticleCountN:500
weightConcentrationSkewFactor:8
resamplingThresholdRatio:0.5
kidnappedRobotRecoveryAlpha:0.05
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required particles.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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