The inverse discrete Fourier transform is calculated from the data of the discrete Fourier transform. Signal data is the value of the signal in time. The "mirror" function adds a mirror image of a ...

The inverse transform can create a time-domain waveform where no waveform has been before. In part 2 of this series, we used the discrete Fourier transform to convert a waveform from the time domain ...

Abstract: The short-time Fourier transform (STFT) is a popular time-frequency analysis method and widely used in acoustics biomedical signal processing and communication. However, since the STFT is a ...

The Fourier Transform is a fundamental mathematical tool used to analyze the frequency content of signals and functions. It provides a way to decompose a signal into its constituent frequencies. This ...

Abstract: Affine transformations of images are common used in modern signal processing, image processing, and computer graphics areas. Take rotation of images for example, we have to calculate the ...

In this paper, we present a new efficient and robust framework for European option pricing under continuous-time asset models from the family of exponential semimartingale processes. We introduce ...