Finding orthogonal matrices in different sizes is very complex and important because it can be used in different applications like image processing and communications (e.g. CDMA and OFDM). In this paper we introduce a new method to find orthogonal matrices by using tensor products between two or more orthogonal matrices of real and imaginary numbers with applying it in images and communication signals processing. The output matrices will be orthogonal matrices too and the processing by our new method is very easy compared to other classical methods those use basic proofs .The results are normal and acceptable in communication signals and images but it needs more research works.

The Frequency-hopping Spread Spectrum (FHSS) systems and techniques are using in military and civilianradar recently and in the communication system for securing the information on wireless communications link channels, for example in the Wi-Fi 8.02.X IEEE using multiple number bandwidth and frequencies in the wireless channel in order to hopping on them for increasing the security level during the broadcast, but nowadays FHSS problem, which is, any Smart Software Defined Radio (S-SDR) can easily detect a wireless signal at the transmitter and the receiver for the hopping sequence in both of these, then duplicate this sequence in order to hack the signal on both transmitter and receiver messages using the order of the sequences that will be recognized for next transmissions. In 2017 Code and Phase Hopping Techniques are both proposed to resolve the most recent problem in security-related, but not with FHSS, therefore in this paper presents a new composed proposed system will progress Phase Shift and Code Hopping in Code Division Multiplexing Access (CDMA) to complement with FHSS; because the wireless Communications systems security in the last years became a nightmare for some individuals, also companies, and even countries, also join them needing for higher bits rate in the wireless channels; because of next-generation communication system 5G-6G and the evolution in social networking, IoT, stream media, IoE, visualizations, and cloud computing. The new ideas can be applicable for a large number of users, also fast implementation without synchronization, as well as without any focus on encryption or keys-exchanges, at completion all results are simulation in MATLAB R2017b, the results have been tested by using 8 users in the same time, also our results showing promises effects on security for both applied systems Phases Shift and Codes Hopping especially the Code Hopping, therefor; our results encouraged us to complete research and compare our system with other.

No abstract

High bit rate and more security for physical layer are very important today therefore they grow and evolution because of the large size media and accuracy of the information transmitted now, But that cannot be changing generation systems every time, Therefore we need a programmable system and immediate change by re-change protocol or changes completely through programming devices to become much more affordable, customizable for costumer users and Consecration; Therefore we propose the physical layer system that can be programmable using the system that already work like LTE-OFDM, W-CDMA, CDMA2000 … etc. this system is using n-QAM and n-QPSK as base data instead off 1,0 binary system but transmitter by MC-CDMA or OFDM-CDMA (MC-DS-JCDMA) in both H-Polarity and V-Polarity waves with more security using JPN instead off PN. The results were without channel estimator or equalizer acceptable in 24dB with high bit rate and low bandwidth in both selective and flat fading channel added with AWGN and Doppler Effect. General TermsCommunication system, LTE, LTE-A High bit rate Novel idea for G5