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Table 1 Complexity evaluation of different FFT-based acquisition schemes

From: Reduced-complexity FFT-based method for Doppler estimation in GNSS receivers

Algorithm

Number of FFTs

Number of tested

Average number

Number of real

  

Doppler values

of IFFTs

multiplications

   

High CNR

Low CNR

High CNR

Low CNR

Conventional FFT-based

2

41

20.5

41

32N+390C N

32N+780C N

EGS (1 ms)

2

41

1

25

36N+57C N

36N+441C N

EGS + BA (5 ms)

10

201

1

25

180N+217C N

180N+601C N

EGS + BA (10 ms)

20

401

1

25

360N+417C N

360N+801C N

EGS + BA (20 ms)

40

801

1

25

720N+817C N

720N+1,201C N

EGS + NCI (10 ms)

20

41

1

25

322N+57C N

322N+441C N

  1. N is the FFT length, and C is the number of searched PRN codes. In low CNR case, the PRN is absent or the detection probability is small.