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4G is based on two core technologies LTE (Long-Term Evaluation) and Mobile WiMAX (Worldwide Interoperability for Microwave Access). LTE and WiMAX system architectures are optimized for packet data to support the increasing amounts of data traffic. Compared with existing wide area cellular system's architectures, WiMAX and LTE provides improved respond time and reliability both are based on IP backbone...
Extending the ‘walks’ of van Lint and Wilson, we introduce a new kind of weighted lattice paths and show that the number of lattice paths with weight ν+m-1(0⩽m⩽ν-1) equals the number of n-colour compositions of ν. Two new binomial identities with their combinatorial meaning are also obtained.
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