FFT (Fast Fourier Transform) factorizations presenting a regular interconnection pattern between factors or stages are known as parallel algorithms, or Pease algorithms since were first proposed by Pease. In this paper, new FFT/IFFT (Inverse FFT) factorizations with blocks that exhibit regular Pease interconnection pattern are derived. It is shown these blocks can be obtained at a previously se...

This paper presents an efficient VLSI design of 8kpoint pipeline fast Fourier transform (FFT) processor capable of producing the sequential order output. The proposed FFT architecture is derived based on the modified delay feed-forward data commutator, and processes the internal dual data streams in the real and imaginary alternate approach. Compared with the general pipeline FFT designs, ours ...

In this note, we present a simple geometric argument to determine a lower bound on the split rank of intersection cuts. As a first step of this argument, a polyhedral subset of the lattice-free convex set that is used to generate the intersection cut is constructed. We call this subset the restricted lattice-free set. It is then shown that dlog2(l)e is a lower bound on the split rank of the int...

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...