Abstract
We have developed a method for the experimental estimation of rate of multimedia data stream in a computer network based on the methods of mathematical statistics. The method, in contrast to the existing ones, is based on considering the rate of multimedia data stream as a random variable that obeys the normal distribution law. When designing computer networks, in order to estimate the required throughput, mathematical streaming traffic models are applied. Such an approach is justified when the constraints of mathematical models are met, such as stationarity, ordinarity, and the absence of aftereffect for the Poisson stream of packets. Under actual conditions, estimates for characteristics of data flow, derived using existing models, may prove to be too conservative as a result of failure to comply with conditions of stationarity of the packet stream. An alternative way for solving a given task is the development of a statistical experimental method for estimating the rate of multimedia data stream in a computer network. The proposed method makes it possible to derive the values of mathematical expectation and a standard deviation in data transmission rate, as well as to estimate consistency of the hypothesis about a normal character of the distribution law of multimedia data flow rate. The experimental estimates are given for the multimedia data stream rate in a computer network at different values of resolution and frame rate of the video. These results showed that the experimental estimates exceed analytical data by 3...20 %. The values of multimedia data flow rate estimates, acquired using the proposed method, could be used to estimate the load of segments in the designed computer network, as well as to explore the throughput of segments in the existing computer network.
Highlights
Multimedia information is widespread in the modern world
Based on values r=7 and c2=2.99483, we find the probability that a random variable, distributed according to the c2 law, exceeds a given value
Significance level p in all experiments is significantly larger than the preset value a=0.01. This means that the proposed hypothesis H0 about the character of distribution of the random variable C for the multimedia data stream rate is consistent with experimental data with a probability of 99 %
Summary
Multimedia information is widespread in the modern world. The multimedia information is understood as digital video information, graphics, and audio information. In order to estimate the characteristics of data flow, a variety of mathematical models of traffic are typically applied [2,3,4,5]. Such an approach is justified only if the constraints in the mathematical models themselves are met, such as, for example, stationarity, ordinarity, and the absence of aftereffect for the Poisson stream of packets, etc. A real pattern of the performance of a network traffic can only be obtained by experimental observations with compulsory subsequent statistical processing This will make it possible to obtain the desired characteristics, and to assess the reliability of the results derived. The development of a method for experimental estimation of the multimedia data flow rate in a computer network seems to be a very relevant task
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