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Table 2 The coefficients of Cosine-Sum windows, where K is the number of coefficients, as defined in Eq. 4

From: Trainable windows for SincNet architecture

 

Window function

\(a_0\)

\(a_1\)

\(a_2\)

\(a_3\)

\(a_4\)

\(a_5\)

\(a_6\)

\(a_7\)

\(a_8\)

\(a_9\)

Coefficients of fixed Cosine-Sum windows (Group1-A)

Hamming

0.5400

0.4600

        

Hann

0.5000

0.5000

        

Blackman

0.4200

0.5000

0.0800

       

Nuttall

0.3636

0.4892

0.1366

0.0106

      

Blackman-Harris

0.3588

0.4883

0.1413

0.0167

      

Flattop

0.2156

0.4166

0.2773

0.0836

0.0069

     

Coefficients of trained Cosine-Sum windows (Group1-B)

K=1

0.3102

0.6754

        

K=2

0.2161

0.4907

0.2940

       

K=3

0.2896

0.3509

0.2041

0.1572

      

K=4

0.2398

0.3127

0.1862

0.1606

0.0818

     

K=5

0.2442

0.2794

0.1794

0.1758

0.0626

0.0576

    

K=6

0.0769

0.2079

0.2706

0.1836

0.1216

0.0981

0.0423

   

K=7

0.2540

0.2563

0.1297

0.1241

0.0671

0.0819

0.0284

0.0492

  

K=8

0.2177

0.2600

0.1211

0.1283

0.0644

0.0704

0.0655

0.0370

0.0333

 

K=9

0.1821

0.2075

0.1334

0.1184

0.0633

0.1075

0.0567

0.0562

0.0524

0.0167