The ever increasing demand for broadband communication opens up new fecund opportunities for the next generation satellite system , The development of multi-spot beam networks with high number of beams for both fixed and mobile applications that support user frequencies from L to Ka-bands is a trending technology . This growing demand pushes more and more for spectrum re-usage over the coverage. A coverage composed of a large number of spots implies the possibility of strong interference generated by all the beams reusing the same frequencies and impacting the overall performances , In this context, due to the non-perfect isolation among the beams, the amount of interference coming from the side-lobes of the co-channel spots may significantly impact the link budget and thus ultimately the achievable throughput. Co- channel interference becomes therefore one of the main impairments limiting the performance of the system if not properly tackled , moreover, the interference mitigation techniques suffer from certain degradation   . This is due to the fact that the processing must be separated in isolated processing units. In  the next generation of HTS allowing to reach the Terabit/s satellite systems is characterized, The targeted capacity achieved by increasing the frequency reuse factor with reduced beam sizes and increased available user link spectrum, The author proposed solutions to address the identified difficulties faced his approach. the first Challenge was the existed bandwidth scarcity, as the system total capacity is directly proportional to the accessible spectrum and radio frequency resources remain limited and subject to coordination with other terrestrial systems . Author suggests allocating the full Ka-band spectrum to the users and moving the feeder links to optical links using the 1.55 μm wavelength technology. Second challenge appears with reducing beams size a large gateway network is required as well as large spectrum per beam, the Terabit/s system requires a significant uplink bandwidth up to 377 GHz. With The frequency plan that has been optimized to limit as far as possible the number of gateways by allocating large spectrum per gateway. Still, up to 37 gateways are required to serve all the users beams. This is quite a significant number of ground stations compared to more classical satellite system. As a result, the ground segment becomes an important expense category when deploying the full system. the current design of  assumes a regular fix design thus to provided capacity needs to users through the satellite lifetime seemed to be challenging for several reasons: User distribution over the coverage area is not and will not sustain homogeneous during satellite lifetime, also the consumption habits of users will significantly evolve during this time. As a result, some of the beams might get quickly fully loaded while others remain emptier loaded. This leads to un-optimized usage of the satellite resources. Paper assumed that the implementation of photonics technologies will allow for a significant mass reduction and to be available by 2020 time frame.
Specifically, the difficulties arise in the current approaches due to the dependency of the classical model of beam design with colors of different frequencies and polarization and regarding the frequency and the time resources only. Here an algorithms is developed to solve the underlying problems based on using the orthogonally of Code Division Multiple Access (CDMA) Walsh coding and design the multibeam system regarding codes as a new resource in the HTS systems. this solution was not proposed in the literature yet, though it showed a promising performance enhancement in the mobile communication systems, upon the usage of this resource the multibeam satellite communication systems will take a new shape by differentiating the beams using assigned codes while it can occupy the total satellite bandwidth, eventually here, the way to reach the Terabit/s satellite systems becomes more achievable. This scenario will be investigated throughout this paper. Figure 1 shows Illustration of a cluster with coded beams that supports the down streams from Satellite to the User Terminals (UTs) for a fixed service, each color will express a different code assigned to data transmitted within each beam, while transmission is continuous using the whole satellite bandwidth. The remaining of this paper is organized as follows. The system model is presented in Section II. Section III demonstrates the Numerical results and analysis. Finally some concluding remarks are presented in Section IV.
2. System Model
In the following, the satellite downlink is illustrated while satisfy the users’ QoS requirements, and, in the next section, we will analyze the relevant performance. A multibeam downlink featuring NM beams belonging to the set M is considered. The term “color” is used to designate a Walsh coded beam, each user terminal (UT) is served by one beam and is tuned on the frequency carrier and its data is encoded with the beam identifying Walsh. Now Define the power received by the UT as for the ith user in the beam, generally the received represented in   is as follows.
where B is the spreading bandwidth; Nu represent the number of users in a beam and I is the other beam interference; and n0 is the level of the background noise power spectral density. The following facts will be considered throughout the paper analysis:
1) While the assigning codes are orthogonal, there is no other beam interference I = 0 in (1).
2) The path loss attenuation between the UT and the Satellite is proportional to, where R is the distance from the UT to the Satellite and ξ is a Gaussian random variable with zero mean and standard deviation σ.
Figure 1. Illustration of a cluster with coded beams.
3) Perfect power control mechanism is assumed due to the nature of satellite link according to this fact, for all i. the effect of power-control delays and errors σ_x = 0 dB in perfect power control, and values less than 1 reflect lower performance. Hence (1) is modified to
For proper reception, the received should be greater than the required,
To satisfy the information data rate requirement for all beams, the following relation should be satisfied:
According to (3) and (4), the received that represented in (2) is limited as follows;
This equation upper-bounds the number of users, as follows;
Applying this relation between the received signal powers within the beam, as in (6), the relation between the user numbers and the required SNR can be derive  as.
To satisfy the requirements of all users, the numbers of users in the system, as derived in , are limited by;
Here the resource amount used by user i in the beam corresponds to 1. i.e. the resources used by users should not exceed total system resource, where,
This equation specifies capacity plan in the M dimensional space. All points the hyperplane represent possible numbers of supportable users in each beam of the multibeam system. Now considering the system reliability requirement β% which is defined as the predetermined value of probability that the received SNR is larger than the required SNR,. The outage probability p is lower bounded by the required system reliability β%  as follow;
Furthermore, it is assumed that the allocated frequency bandwidth W, the standard deviation of the received SNR, and the system reliability β% are the same for all beams. To satisfy the requirements of all users, the numbers of users in the system that were confined by (8), Equation (9) will be generally as derived in  as follow;
where is the inverse Q-function where Q-function is defined as
. In particular, f is other cell interference factor de-
fined as the ratio of the inter-spot interference from inter beam to the intra-spot
interference from intra beam, is the average value of frequency reuse factor and the quantity of indicates the effect of the imperfect
power control error and the system reliability β% on the system capacity. Applying this on the proposed scheme will give,
So several variables that determine system capacity can be summarized as follow:
・ B is the spreading bandwidth;
・ is the required information data rate;
・ β% is system reliability;
・ is the required bit energy-to-noise power spectral density ratio.
In practice, the capacity bounds may change with variations of the system capacity parameters, so it is important to consider the effect of the disturbance of system parameters. Imperfections encountered in CDMA systems in most cases are due to imperfect power control error which is negligible here due to the satellite environment, and the effect of which on CDMA capacity is practically linked to system reliability. In this paper we focused on quantitatively describing the change of system capacity due to the previous parameters with consideration of system reliability that is considered as an example of sensitivity analysis in CDMA systems.
3. Numerical Results and Analysis
This work focuses on the usage of CDMA coding over multibeam satellite network, the performance of the proposed scheme is assessed using (6), (8) and (12) with the system introduced in , first to indicate the information bit rate supported by the system for every user in each beam with the circumstances applied in . Typically, a bandwidth of 1.05 GHz in Ka band is considered in the BATS system of  with 302 beams over Europe, and the DVB-RCS2 MODCODs  are applied. And using the equation describing CDMA throughput  is used.
where B is the total satellite bandwidth, m is the modulation order and is set to 2, 3, 4, 5, 6 referring to , ρ is the roll-off factor for the filtering and typically considered by 0.35, 0.25, 0.2 , and Gp is the processing gain and is dependent on number of beams as the proposed system showed, for an instance there will be 512 code required to identify the 302 beam as  so Gp will equal 9, nevertheless. Table 1 and Table 2 illustrate the information bit rate with various modulation techniques, roll-off factors and processing gains, using parameters of  and suggested number of beams as .
The values above is achieved without using interference cancellation (IC) algorithms and without scheduling and availability of 99.99% thus consider a promising contribution over the previous conventional systems that relay on DVB standards and apply IC and scheduling algorithms to improve the capacity.
Table 1. The information bit rate with various modulation techniques, roll-off factors and processing gains, B = 1.05 GHz.
Table 2. Total system capacity for all the beams, with B = 1.05 GHz, β = 99.99% for carrier power = −74 dBm parameters of .
Table 3. The information bit rate with various modulation techniques, roll-off factors and processing gains, B = 1 GHz.
Table 4. Total system capacity for all the beams, with B = 1.05 GHz, β = 99.99% for carrier power = −74 dBm .
Table 3 and Table 4 illustrate the information bit rate and system capacity with various modulation techniques, roll-off factors and processing gains using the parameters of  and reducing beam number strategy from the model suggested in  to decrease the processing gain and allow a wider band width per user which results an increase of the information rate and total system capacity.
Thus the average system capacity of 1.076 Tbps is greater than the maximum value reached in  766 Gbps by about 50% above with a less complex, cost effective and interference immune system that transmit over the total satellite bandwidth saving the polarization resource.
In , various interference effects (CCI, ACI and XPI) and thermal noise have been discussed, and numerical results for SNIR, bandwidth efficiency and throughput have been presented over 200 beams with 1 GHz Bandwidth and parameters included in the DVB-S2X, applying these parameters to the proposed scheme using Gp = 8, ρ = 0.05, typical value of SNR = 18 dB results user information rate per beam equals to 249.999 Mbps and system throughput of 1.00655 Tbps which is higher than the maximum value achieved in  (the 420 Gbps for the use of three frequencies and use of dual polarizations in each beam (3FDP) with interference cancellation of about 70% of interference ) by 140% above, each user Occupies triple the bandwidth used in the 3FDP scheme without wasting polarization resource.
Another paper  presented several capacity enhancing techniques, SGD techniques increases the system availability with a significant increase in the system cost by adding extra gatways, while full frequency reuse with CCI cancellation and scheduling provides the highest system capacity of 600 Gbps in the sake of the availabity that decreased to 98.82%.
In this work, a new approach presented in multiple spot beam satellite systems employing a coding technique to identify beams without the need of frequency reuse and methods of mitigating the interference effects. A new method of improving the performance, capacity and users bit rates has been proposed, and the expected benefits have been discussed and compared with other promising techniques. The preliminary results show that incorporating Spreading spot beams with CDMA Walsh coding has the potential to improve system capacity and individual user information. It is recognized, however, that this improved performance did not come at the expense of neither increased complexity nor extra bandwidth utilization as the previous work did. This system configurations and operational parameters under which the combination of coded beams with the various multiple accessing techniques, can be investigated to provide maximum scope for improved overall satellite communications system performance.
Thanks to my supervisors for their precious guiding, inspiration and support.
 Suffritti, R., Privitera, N., Dimitrov, S., Katona, Z., Boccolini, G., Jaeckel, S., Raschkowski, L., Kyrgiazos, A., Evans, B., Rodriguez, J.M., Yun, A., Vidal, O. and Inigo, P. (2014) On Interference Management Techniques in Broadband Satellite Systems. In: Proc. of Ka Conference.
 Joroughi, V., Vazquez, M.A. and Perez-Neira, A. (2014) Multiple Gateway Precoding with Per Feed Power Constraints for Multibeam Satellite Systems. Proceedings of 20th European Wireless Conference, May 2014, 1-7.
 Zheng, G., Chatzinotas, S. and Ottersten, B. (2012) Multi-Gateway Cooper-ation in Multibeam Satellite Systems. Proceedings of 2012 IEEE 23rd International Symposium, Sept 2012, 1360-1364. https://doi.org/10.1109/PIMRC.2012.6362558
 Devillers, B., Perez-Neira, A. and Mosquera, C. (2011) Joint Linear Precoding and Beamforming for the Forward Link of Multi-Beam Broadband Satellite Systems. Proceedings of Global Telecommu-nications Conference, 2011 IEEE, Dec 2011, 1-6. https://doi.org/10.1109/GLOCOM.2011.6133895
 Sampath, A., Kumar, P.S. and Holtzman, J.M. (1995) Power Control and Resource Management for a Mul-timedia CDMA Wireless System. IEEE Proc. of International Symposium on Personal, Indoor, and Mobile Radio Communications, 1995, 21-25. https://doi.org/10.1109/PIMRC.1995.476272
 Katona, Z., Clazzer, F., Shortt, K., Watts, S., Lexow, H.P. and Winduratna, R. (2016) Performance Cost Analysis and Ground Segment Design of Ultra High Throughput Multi-Spot Beam Satellite Net-works Applying Different Capacity Enhancing Techniques. Int. J. Satellite Commun. Netw., 34, 547-573.
 Lutz, E. (2015) Towards the Terabit/s Satel-lite—Interference Issues in the User Link. International Journal of Satellite Commu-nications and Network, 34, 461-482. https://doi.org/10.1002/sat.1114