Signal processing is a vast applied area of research, and It is applicable in engineering, medicine, war, and many more fields. Many signal processing methods are already available like Fourier transform, fractional Fourier transforms, and many more. In this work, we defined a generalized Fourier transform and proposed a new technique for signal denoising: the Fourier transform of signal in the presence of fractional calculus. This proposed method is more convenient than previous methods because of its applicability in the fractional variable. By fractional variable, we reached the more appropriate signal.

R-L Integrodifferential, Low pass filter, De-noising signal, Digital Signal Processing.