Nowadays, the usage of parallel computing in modern information systems becomes a necessity, to eliminate computational challenges. Recently, new optimization techniques have been developed, and a parallel programming framework became available that opened new prospects for solving numerically complex problems. This work proposes a method of computation for the Fourier coefficients that has been developed to take into consideration multi-core processors to enhance effectiveness and reduce processing times. Performance will be scalable and reliable; hence, it provides further insight into exploration for high-performance computing in signal analysis.