Real-Time Optical Spectrum Fourier Transform With Time–Bandwidth Product Compression

An extensible complex fast Fourier transform processor chip for real-time spectrum analysis and measurement

This paper describes in detail the design of a CMOS custom fast Fourier transform (FFT) processor for computing a 256-point complex FFT. The FFT is well-suited for realtime spectrum analysis in instrumentation and measurement applications. The FFT butterfly processor reported here consists of one parallel–parallel multiplier and two adders. It is capable of computing one butterfly computation e...

Discrete integer Fourier transform in real space: elliptic Fourier transform

Real Clifford Windowed Fourier Transform

We study the windowed Fourier transform in the framework of Clifford analysis, which we call the Clifford windowed Fourier transform (CWFT). Based on the spectral representation of the Clifford Fourier transform (CFT), we derive several important properties such as shift, modulation, reconstruction formula, orthogonality relation, isometry, and reproducing kernel. We also present an example to ...

Real-time Denoising of Ae Signals by Short Time Fourier Transform and Wavelet Transform

Laser AE method is a non-contact AE detection technique, which utilizes laser interferometer as sensor. This method is less subjected to environmental difficulties and can be adaptive for wider target than conventional PZT sensors. However, laser AE method has to improve its sensitivity because the noise level of laser interferometer is higher than PZT sensors. In this study, a method to reduce...

Satellite Image Compression using Fractional Fourier Transform

The Fourier transform can be successfully used in the field of signal processing, image processing, communications and data compression applications. The discrete fractional Fourier transform, generalization of the discrete Fourier transform, is used for compression of high resolution satellite images. With the extra degree of freedom provided by the DFrFT, its fractional order 'a', h...