I define canonical utility functions via an explicit formula that inherits semicontinuity, continuity, Cauchy continuity, and uniform continuity from preferences. This construction is used to (i) show Rader’s and Debreu’s theorems in a fast and transparent way, (ii) refine these results for Cauchy and uniformly continuous preferences on a metric space X , (iii) extend such preferences from X to...

The Fast Fourier Transform Algorithm is used for Time to Frequency transform in the receiver side for spectral analysis in the communication. In the 4th Generation, the presence of multiple tones requires fine frequency tuning, which imposes the use of a large number of FFT points. FFT analysis is based on the coherent sampling, but it requires a significantly smaller number of points to make t...

The Fast Fourier Transform (FFT) is most widely used in DSP such as imaging, signal processing, frequency communication, applied wireless system. In this paper, a reconfigurable DIT8 point FFT design using Vedic multiplier with small area and low power is presented. Urdhava Triyakbhyam algorithm, an ancient Vedic Indian Mathematics sutra, is utilized to achieve high throughput. In the proposed ...

The terms Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT) are used to denote efficient and fast algorithms to compute the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT) respectively. The FFT/IFFT is widely used in many digital signal processing applications and the efficient implementation of the FFT/IFFT is a topic of continuous research.

1 Details on Affinity Function Computations 2 1.1 Shape Complementarity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Skin-core Definition and Weighting . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 FFT based formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Electrostatics (E). . . . . . . . . . . . . . . . . . . . . . . . . . ...

Pipeline FFT processors are used in mobile communication systems and in particular in OFDM-based systems. This paper presents a method for power analysis and clock optimization of pipeline FFT processors for particular OFDM baseband system. This method is applied to various architectures with different radices. The analysis can be used in the design of high speed pipeline FFT processors.

Multiprocessor platforms have been proposed as an enabling technology for Cognitive Radio. In this paper, we explore various FFT implementations on a multiprocessor prototype platform as building components for OFDM based Cognitive Radio. The results show that our FFT implementations on the multiprocessor platform are fast and energy efficient. Moreover, the FFT implementations can be dynamical...

We show that the polar as well as the pseudo-polar FFT can be computed very accurately and efficiently by the well known nonequispaced FFT. Furthermore, we discuss the reconstruction of a 2d signal from its Fourier transform samples on a (pseudo-)polar grid by means of the inverse nonequispaced FFT.

We present a novel pipelined Fast Fourier Transform (FFT) architecture which is capable of producing the output sequence in normal order. The Fast Fourier Transform (FFT) is periodically employed in the algorithms of signal processing for the applications of Orthogonal Frequency Division Multiplexing (OFDM). In this paper, a new pipelined 32 point Mixed Single-path Delay FeedbackMulti-path Dela...

The Radix-4 Fast Fourier Transform (FFT) is widely accepted for signal processing applications in wireless communication system. Here, we present a new Radix-4 FFT which reduces the operational count by 6% lesser than standard Radix-4 FFT without losing any arithmetic accuracy. Simulation results are also given for the verification of the algorithm.