Design and Optimization of Modified K-Exponential Filter

Thanks to modern technologies, the communication systems are using pulse-shaping filters robust to timing error and in many instances integrated to minimize the effects of noise and inter-symbol interference (lSI). In this article, we have been carried out an investigation in order to decipher the mechanism behind the increased performance of the improved Nyquist filter when sampled with a time offset, as compared with other improved filters. As a result, a family of generalized/modified K exponential filters was proposed, and its performance was investigated in terms of probability of error. In purely technological terms, one key to improve the bit error probability without sacrificing the performance in terms of spectral re-growth is to derive new frequency characteristic shapes. Also this helps to understand what could be done in order to further improve the performance of a Nyquist filter.