Principles of Space-Time Adaptive Processing

15.3: Aspects of implementation

15.3 Aspects of implementation

15.3.1 Comparison of techniques in terms of computational complexity

In Tables 15.1 and 15.3 the numbers of floating point operations (complex multiplications) for the various parts of the adaptive clutter filter and target doppler match are given. Table 15.1 summarises those operations not strictly connected with the range sampling frequency. They are therefore called 'slow' operations.

Table 15.1: Numbers of slow operations( N = number of array elements M = Doppler filter length or number of doppler channels; K = number of antenna channels; L = temporal length of clutter filter; * by use of the Akaike algorithm for block Toeplitz matrix inversion: ** only for large M; *** without eigenvector decomposition)

Method

Section

Adaptaion

Filter calculation

OAP*

4.2.1

2( N 3 M 2)*

8 N 3 M

AEP***

5.2

2( N + M) 3 + 2( N + M) M

( N + M) 3 + M ( N + M) 2

SAS*

6.2.1

2( K 3 M 2)

8 K 3 M

ASFF*

7.1.3

2( K 3 L 2)

8 K 3 L

ACP

5.3

2( N + M) 3 + 2( N + M) M

( N + M) 3 + M ( N + M) 2

ASEP

9.3

2( KL 3 + 2 M ( KL) 2

( KL)

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