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In this work a systematic method to generate all possible fast Fourier transform (FFT) algorithms is proposed based on the relation to binary trees. The binary tree is used to represent the decomposition of a discrete Fourier transform (DFT) into sub-DFTs. The radix is adaptively changed according to compute sub-DFTs in proposed decomposition. In this work we determine the number of possible algorithms...
FFT-IFFT configuration, or more generally a forward-inverse orthogonal transform pair, offers a way to implement a digital filter whose frequency-domain characteristics can be straightforwardly tuned by adjusting the complex gains of the frequency bins. Using filter banks (FBs) for the transform pair, sharp transition bands can be obtained for low-pass/bandpass/highpass type filter designs. However,...
Deep sub-micron CMOS technologies have enabled the development of highly digital radios for wireless communications at low Gigahertz frequencies [1], [2]. Meanwhile, nanometer scale CMOS allows to push the RF frequencies to the millimeter wave frequency range. Particularly 60GHz radio has emerged as the candidate for high-data-rate (10 Gb/sec), short-distance (1 to 10m) wireless communication systems...
As wireless communication devices have increased rapidly, much attention has been paid to the spectrum resources. Cognitive Radio (CR) technology has received increasing attention as a potential approach to utilize more effectively the radio frequency bands. CRs need to dynamically and reliably determine spectral holes which could be used for secondary transmissions. In this study, wideband multichannel...
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