Fast Fourier Transform (FFT)




Operation Count

How do we evaluate computational complexity?
count the number of real multiplications and
additions
by ¨real¨ we mean either fixed-point or floating point
operations depending on the specific hardware
subtraction is considered equivalent to additions
divisions are counted separately
Other operations such as loading from memory, storing in
memory, loop counting, indexing, etc are not ....etc

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A 64 Point Fourier Transform Chip

Fourth generation wireless and mobile system are currently the focus of research and development. Broadband wireless system based on orthogonal frequency division multiplexing will allow packet based high data rate communication suitable for video transmission and mobile internet application. Considering this fact we proposed a data path architecture using dedicated hardwire for the baseband processor. The most computationally intensive part of such a high data rate system are the 64-point inverse FFT in the ....etc

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Abstract
I have implemented the Fast Fourier Transform (FFT) algorithm, using the method of Cooley-Tukey. The FFT reduces the computation required in determining the Fourier Transform, which is used in several applications in science and engineering, including signal processing computations and spectral analysis. The Cooley-Tukey method primarily uses binary logic, making use of the symmetry and periodicity properties of complex exponentials. Substantial savings can be made in computation, especially when the number of input sample values is ....etc

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A PIPELINE FAST FOURIER TRANSFORM FOR DIGITAL SPECTRUM ANALYSIS

Abstract:- This paper describes a novel structure for a hardwired fast Fourier transform (FFT) signal processor that promises to permit digital spectrum analysis to achieve throughput rates consistent with extremely wide-band radars. The technique is based on the use of serial storage for data and intermediate results and multiple arithmetic units each of which carries out a sparse Fourier transform. Details of the system are described for data sample sizes that are binary multi ....etc

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Introduction
The DSP world today is ruled by different transforms. Discrete Fourier transforms are most used. So is the fast Fourier transform, which is the faster version of DFT. Suppose we take FFT of a signal. On taking the inverse fast Fourier transform, we except the output to be the same as the input. This is called the invertibility property. But on most occasions, disappointment is the result. This is due to the finite word length of the registers used to store the samples and the coefficients. This seminar introduces a method called i ....etc

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Fourth generation wireless and mobile system are currently the focus of research and development. Broadband wireless system based on orthogonal frequency division multiplexing will allow packet based high data rate communication suitable for video transmission and mobile internet application. Considering this fact we proposed a data path architecture using dedicated hardwire for the baseband processor. The most computationally intensive part of such a high data rate system are the 64-point inverse FFT in the transmit direction and the viterbi d ....etc

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ABSTRACT
Transforms that maps integers to integers have advantagesnot available for floating point transforms. Integercomputations are faster and free from round off errors(integer transforms are widely used for lossless coding). Thepaper presents an algorithm of Integer Fast FourierTransform (intFFT) based on lifting factorization. IntegerDiscrete Cosine Transform (intDCT) is also computed as anexample of intFFT application.
1. INTRODUCTION
Great interest in the topic of integer transforms can beobserved in literature during ....etc

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i need a powerpoint presentation on 64 point fft chip and its abstract ....etc

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PREFACE

The DSP world today is ruled by different transforms. Discrete Fourier transforms are most used. So is the fast Fourier transform, which is the faster version of DFT.
Suppose we take FFT of a signal. On taking the inverse fast Fourier transform,we except the output to be the same as the input.This is called the invertibility property.But on most occasions, dissapointment is the result. This is due to the finite word length of the registers used to store the samples and the coefficients.
This seminar introduces a method called integ ....etc

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