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# Program 2: Second Order Goertzel Algorithm

Module by: C. Sidney Burrus. E-mail the author

Summary: Second Order Goertzel Algorithm

## Second Order Goertzel Algorithm

Below is the program for a second order Goertzel algorithm.

 C---------------------------------------------- C GOERTZEL'S DFT ALGORITHM C Second order, input inorder C C. S. BURRUS, SEPT 1983 C--------------------------------------------- SUBROUTINE DFT(X,Y,A,B,N) REAL X(260), Y(260), A(260), B(260) C Q = 6.283185307179586/N DO 20 J = 1, N C = COS(Q*(J-1)) S = SIN(Q*(J-1)) CC = 2*C A2 = 0 B2 = 0 A1 = X(1) B1 = Y(1) DO 30 I = 2, N T = A1 A1 = CC*A1 - A2 + X(I) A2 = T T = B1 B1 = CC*B1 - B2 + Y(I) B2 = T 30 CONTINUE A(J) = C*A1 - A2 - S*B1 B(J) = C*B1 - B2 + S*A1 20 CONTINUE C RETURN END 

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