Ultrafast analog Fourier transform using 2-D LC lattice

Speech enhancement using 2-D Fourier transform

This paper presents an innovative way of using the two-dimensional (2-D) Fourier transform for speech enhancement. The blocking and windowing of the speech data for the 2-D Fourier transform are explained in detail. Several techniques of filtering in the 2-D Fourier transform domain are also proposed. They include magnitude spectral subtraction, 2-D Wiener filtering as well as a hybrid filter w...

Idealab Fourier Transform Analog Computer

The IFTAC is a special purpose analog computer designed to take the direct Fourier transform of a recorded function C(t). The system uses a recorded time base generated by a monochromatic source in the interferometer to correct for any changes in velocity of motion of the movable mirror, and to compensate for wow and flutter and changes in velocity of the tape transport drive system. Introducti...

2-D affine generalized fractional Fourier transform

The 2-D Fourier transform has been generalized into the 2-D separable fractional Fourier transform (replaces 1-D Fourier transform by 1-D fractional Fourier transform for each variable) and the 2-D separable canonical transform (further replaces the fractional Fourier transform by canonical transform) in [3]. It also has been generalized into the 2-D unseparable fractional Fourier transform wit...

2 - D Hexagonal Quaternion Fourier Transform in Color Image Processing

In this paper, we present a novel concept of the quaternion discrete Fourier transform on the two-dimensional hexagonal lattice, which we call the twodimensional hexagonal quaternion discrete Fourier transform (2-D HQDFT). The concept of the right-side 2D HQDFT is described and the left-side 2-D HQDFT is similarly con sidered. We analyze and present a new approach in processing the color images...

9 . 1 The 2 - D Continuous Space Fourier Transform