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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.