Table 3 Multifractal parameters of low-frequency and high-amplitude signals.

From: Dynamic multifractal characteristics of acoustic emission about composite samples with different stress loading and unloading conditions

No

\(\Delta \alpha\)

\(\Delta f\left( \alpha \right)\)

\(\frac{{\Delta \alpha \left( {\text{A - n}} \right)}}{{\Delta \alpha \left( {\text{A - 1}} \right)}}\)

\(\frac{{\Delta \alpha \left( {\text{B - n}} \right)}}{{\Delta \alpha \left( {\text{B - 1}} \right)}}\)

\(\frac{{\Delta \alpha \left( {{\text{C}} - {\text{N}} } \right)}}{{\Delta \alpha \left( {\text{C - 1}} \right)}}\)

\(\frac{{\Delta \alpha \left( {{\text{D}} - {\text{N}} } \right)}}{{\Delta \alpha \left( {\text{D - 1}} \right)}}\)

\(\frac{{\Delta f\left( \alpha \right)\left( {\text{A - n}} \right)}}{{\Delta f\left( \alpha \right)\left( {\text{A - 1}} \right)}}\)

\(\frac{{\Delta f\left( \alpha \right)\left( {\text{B - n}} \right)}}{{\Delta f\left( \alpha \right)\left( {\text{B - 1}} \right)}}\)

\(\frac{{\Delta f\left( \alpha \right)\left( {\text{B - n}} \right)}}{{\Delta f\left( \alpha \right)\left( {\text{B - 1}} \right)}}\)

\(\frac{{\Delta f\left( \alpha \right)\left( {\text{B - n}} \right)}}{{\Delta f\left( \alpha \right)\left( {\text{B - 1}} \right)}}\)

A-1

0.344

− 0.345

1.000

1.000

   

A-2

0.263

− 0.376

0.764

1.090

   

A-3

0.176

− 0.303

0.510

0.879

   

B-1

0.474

− 0.232

 

1.000

1.000

  

B-2

0.249

− 0.622

 

0.526

2.687

  

B-3

0.252

− 0.489

 

0.531

2.113

  

C-1

0.380

− 0.481

  

1.000

1.000

 

C-2

0.232

− 0.265

  

0.609

0.551

 

C-3

0.122

− 0.196

  

0.320

0.409

 

D-1

0.298

− 0.915

   

1.000

1.000

D-2

0.249

− 0.220

   

0.838

0.241

D-3

0.201

− 0.759

   

0.675

0.829