The following Code Availability section has been added to the manuscript:A GeneralizedPhase-Based Sidelobe-Reduction Filter for Diverse Pulsed Radar WaveformsCode AvailabilityThe MATLAB source code and interactive MATLAB Apps implementing the GSRF/IMF filterwith its threshold-bounded regularized transfer function, the comparison code for Section 3.6(Figure 19), the Wolfram Mathematica derivations, and the documentation supporting thesingle-target and three-target (multi-target) results of this study are openly available in Zenodoat https://doi.org/10.5281/zenodo.23703278.The Supplementary Information also includes the MATLAB source code used to reproduce thethree-target (multi-target) simulation results presented in the manuscript. The deposited recordcontains:1. Mathematical derivations — complete derivations of Equations (31)–(34) for the GSRFtransfer function H Lk _ GSRF (ω) for odd/even combinations of L and k (Appendix, pages28–30), including the derivation of the threshold-bounded regularized transfer function.All symbolic derivations were performed using Wolfram Mathematica 12.2. Single-target simulation code — MATLAB programs reproducing Figs. 1(b)–(e) and2(b)–(e) for the LFM, P4, PRN, and Costas-code waveforms.3. Three-target (multi-target) simulation code — MATLAB programs reproducingFigs. 4–10 for all four waveforms:• LFM: Main_Code_LFM_azouz_Data2_Editor_result_04_Paper.m• P4: Main_Code_P4_azouz_Data2_Editor_result_04_Paper.m• PRN: Main_Code_PRN_azouz_Data2_Editor_result_04_Paper.m• Costas-code: Main_Code_Costas_azouz_Data2_Editor_result_04_Paper.m4. Interactive MATLAB Apps for IMF visualization (three-target / multi-target)— self-contained App files providing a graphical interface to load data, adjust the regular-ization threshold, and inspect the sidelobe-reduction performance interactively:• LFM: Main_Code_LFM_azouz_Data2_Editor_result_04_1.mlapp• P4: Main_Code_P4_azouz_Data2_Editor_result_04_1.mlapp• PRN: Main_Code_PRN_azouz_Data2_Editor_result_04_1.mlapp• Costas-code: Main_Code_Costas_azouz_Data2_Editor_result_04_1.mlapp5. Code for Section 3.6 — Comparison of IMF Performance with MMF-APCSidelobe-Reduction Techniques — MATLAB program reproducing the comparativeresults shown in Figure 19:• MATLAB_Source_Code_Comp_IMF_MMFAPC_Fig19_1.m6. Documentation — per-waveform summary PDFs describing the generated figures, outputfiles, and execution procedure for both the script-based and App-based workflows. Inparticular, the three-target (multi-target) simulations are documented in the followingfour summary files:• Summarize Three Target LFM Matlab.pdf• Summarize Three Target P4 Matlab.pdf• Summarize Three Target PRN Matlab.pdf• Summarize Three Target Costas Matlab.pdfEach program reproduces the corresponding figures directly, without requiring any modificationto the source code. Together with the derivations—including those of the threshold-bounded reg-ularized transfer function—these materials enable full reproduction and independent verificationof all analytical and simulation results presented in the manuscript, for the single-target case,the three-target (multi-target) case, and the Section 3.6 comparison with MMF-APC techniques(Figure 19), via either the command-line scripts or the interactive MATLAB Apps.In the Methods section, the following sentence has been added at the point where the GSRF/IMFalgorithm and its threshold-bounded regularized transfer function are introduced:“The complete MATLAB implementation of the proposed GSRF/IMF algorithm, including itsthreshold-bounded regularized transfer function, together with the symbolic derivations and allscripts required to reproduce the results reported in this paper, is openly available in Zenodo athttps://doi.org/10.5281/zenodo.23703278.”
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Ahmed Abdalla (2026) studied this question.
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