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Table 4 Computational complexity (the number of complex additions and multiplications) of the proposed spectrum shaping algorithm with reduced complexity (per an OFDM symbol)

From: Protection of primary users in dynamically varying radio environment: practical solutions and challenges

Operations

The number of at the transmitter related to

The number of operations at the receiver operating in operations

 

CC method implementation

Windowing

Overall spectrum shaping

Standard configuration

Proposed configuration

Complex additions

(α- 1)γ

β

(α - 1)γ + β

0

α(α + γ - 1)

Complex multiplications

αγ

2β

αγ + 2β

α

α(α + γ)

Total no. operations for:

     

Scenario 1, Use-case 1

3300

192

3492

138

41262

Scenario 2, Use-case 1

3792

288

4080

119

32011

Scenario 3, Use-case 1

7320

288

7608

153

54009

Scenario 1, Use-case 2

1164

12

1176

146

43654

Scenario 2, Use-case 2

2024

12

2036

127

34163

Scenario 3, Use-case 2

3756

12

3768

157

52909

  1. α, the total number of DCs; γ, the total number of CCs; β, the window extension duration in samples.