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Table 1 Computation complexity of additions and multiplications in conventional DFT [[1]], reciprocal-orthogonal parametric [[10]], EIJT [[18]] N =3×2r, and proposed PROJT with N =2r+1 matrix size, where r ≥2

From: Fast parametric reciprocal-orthogonal jacket transforms

 

Conventional

ROP[13]

EIJT[18]

Proposed

 

DFT[1]

N=2r+1

N=3×2r

N=2r+1

Parameters

1 (fixed)

3N/2

2N−1

9 4 N

Additions

(N−1)N

N l o g 2 N

3N l o g2N

N+N l o g2N

Multiplications

N 2

3N/2

N l o g 2 N

3N