We describe an implementation of the Cooley Tukey complex-to-complex FFT on the Connection Machine. The implementation is designed to make e ective use of the communications bandwidth of the architecture, its memory bandwidth, and storage with precomputed twiddle factors. The peak data motion rate that is achieved for the interprocessor communication stages is in excess of 7 Gbytes/s for a Conn...

In this paper, we present an e cient FFT based signaling scheme for Multimedia Steganography. The use of FFT permits the use of signal sets of large dimensions without increasing the computational complexity drastically. This is achieved by generating the maximally separable points of the signal constellation in such a way that detection is implemented through an FFT based cyclic correlation. I...

In this paper an adaptive broadband beamformer is presented which is based on a partitioned frequency-domain least-mean-square algorithm (PFDLMS). This block algorithm is known for its efficient computation and fast convergence even when the input signals are correlated. In applications where long filters are required but only a small processing delay is allowed, a frequency domain adaptive bea...

The Radon transform constitutes the conventional tool for tomosynthesis, i.e., composition of cross-sections an object from its projections. It is actually a version Fourier Transform, which accompanied by appropriate digital high pass filters correct distribution energy among reconstructed frequency components. and inverse are employed in their 2D 3D versions, respectively, whole procedure ver...

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 ...