TWO-DIMENSIONAL SIGNAL PROCESSING IN THE DISCRETE FOURIER BASIS

Discrete Fourier Transform: Approach To Signal Processing

There are three different way to calculate DFT. First method is using formula of DFT or simultaneous equation. Second is Correlation technique and third one is using Fast Fourier Transform (FFT). First method is useful for understanding of basic idea of DFT, but it is not fit for practical and application purpose. In second method is based on detecting known waveform in another signal. It is us...

Two dimensional discrete fractional Fourier transform

Fractional Fourier transform (FRFT) performs a rotation of signals in the time—frequency plane, and it has many theories and applications in time-varying signal analysis. Because of the importance of fractional Fourier transform, the implementation of discrete fractional Fourier transform will be an important issue. Recently, a discrete fractional Fourier transform (DFRFT) with discrete Hermite...

Two-dimensional Fourier Processing of Rasterised Audio

There is continuous research effort into the expansion and refinement of transform techniques for audio signal processing needs, yet the two-dimensional Fourier transform has seldom been applied to audio. This is probably because audio does not readily allow the application of a 2D transform, unlike images for which its use is common. A signal mapping is first required to obtain a two-dimension...

Fourier Transform – Signal Processing

Signal Processing for Two-dimensional Magnetic Recording

With magnetic storage devices already achieving storage densities of up to 400 Gigabits per square inch (Gb/in), the state of the art is rapidly approaching theoretical limits (dictated by thermal stability concerns). Hence, there is an effort in the industry to develop alternative magnetic storage technologies. Two-dimensional magnetic recording (TDMR) is one such candidate technology. In cont...