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Table 1 GP extrapolation for a bandlimited function

From: Towards spectral efficiency enhancement for IoT-aided smart transportation: a compressive OFDM transmission and regularized recovery approach

Input

Finite segment g(t), maximum iterations ite

Initialization

The current iteration \(i=1\), \({g_0}(t) = g(t)\)

Step1

Do FT towards \(g_{i-1}(t)\) and receive \(G_{i-1}(\omega )={\mathcal {F}}{\{g_{i-1}(t)\}}\)

Step2

Filter the \(G_{i-1}\) with \(P_{\Omega }\) and receive \(F_{i}(\Omega )=G_{i-1}\cdot P_{\Omega }\)

Step3

Do IFT towards \(F_i(\omega )\) and receive \({f_i}\left( t \right) = {{\mathcal {F}}^{-1}}\left\{ {{F_i}( \omega )} \right\}\)

Step4

Exchange the segment of \(f_{i}(t)\) with the known segment g(t)

Step5

If \(i \le ite\) , the iteration proceeds from Step 1 and \(i=i+1\)

Otherwise, output the result as \({\hat{f}}(t) = {g_i}(t)\)