The radiation of gravitational waves from cosmic string loops and their subsequent detection and observation have been extensively studied over the last two decades. However, challenges persist in accurately modeling the power spectrum of this radiation and the cumulative emission from the population of cosmic string loops. The power spectrum from a single loop is essential for characterizing the overall emission from all loops, which is crucial for detecting and confirming the existence of cosmic strings. In my work, I address the key challenges in developing an accurate model of the power spectrum of a loop and introduce two mathematical methods which aid in this context. Integrating these methods along with existing numerical techniques and analytical approximations leads to a more accurate model of the power spectrum. Additionally, I address how to combine emissions from various loops across the universe, aiming to identify the target signal for gravitational wave experiments. I also examine the impact of two scenarios on this combined signal, potentially enhancing its detectability.