Available online at www.sciencedirect.com Journal of the Franklin Institute 350 (2013) 770–789 Chaotic interleaving scheme for single- and multi-carrier modulation techniques implementing continuous phase modulation Emad S. Hassan a,n , Xu Zhu b , Said E. El-Khamy c , Moawad I. Dessouky a , Sami A. El-Dolil a , Fathi E. Abd El-Samie a a Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University, 32952 Menouf, Egypt b Department of Electrical Engineering and Electronics, Liverpool University, L69 3GJ, UK c Department of Electrical Engineering, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt Received 6 February 2012; received in revised form 9 August 2012; accepted 6 January 2013 Available online 16 January 2013 Abstract In this paper, we present a chaotic interleaving scheme for both the Continuous Phase Modulation (CPM) based Orthogonal Frequency Division Multiplexing (CPM-OFDM) and CPM-based Single- Carrier Frequency-Domain Equalization (CPM-SC-FDE) systems. Chaotic interleaving is used to generate permuted versions from the sample sequences to be transmitted with low correlation among their samples, and hence a better Bit Error Rate (BER) performance can be achieved. The proposed CPM-OFDM and CPM-SC-FDE systems with chaotic interleaving combine the advantages of the frequency diversity and the high power efficiency of the CPM-based systems and the performance improvements due to chaotic interleaving. The BER performance of the both systems with and without chaotic interleaving is evaluated by computer simulations. Also, a comparison between chaotic interleaving and block interleaving is performed. Simulation results show that, the proposed chaotic interleaving scheme can greatly improve the performance of the CPM-OFDM system and the CPM-SC-FDE system. Furthermore, the results show that the chaotic interleaving scheme outperforms the traditional block interleaving scheme in both systems. The results also show that www.elsevier.com/locate/jfranklin 0016-0032/$32.00 & 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.jfranklin.2013.01.007 n Corresponding author. Tel.: þ20 1001351938. E-mail addresses: eng_emadash@yahoo.com (E.S. Hassan), xuzhu@liverpool.ac.uk (X. Zhu), elkhamy@ieee.org (S.E. El-Khamy), dr_moawad@yahoo.com (M.I. Dessouky), msel_dolil@yahoo.com (S.A. El-Dolil), fathi_sayed@yahoo.com (F.E. Abd El-Samie).