'Fft algorithm' presentation slideshows

Transforms

Transforms. A sine wave. 5*sin (2 ?4t). Amplitude = 5. Frequency = 4 Hz. seconds. A sine wave signal. 5*sin(2 ?4t). Amplitude = 5. Frequency = 4 Hz. Sampling rate = 256 samples/second. Sampling duration = 1 second. seconds. An undersampled signal. The Nyquist Frequency.

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Fast Fourier Transform (FFT) Algorithms

Fast Fourier Transform (FFT) Algorithms. Relation to the z-transform. The DFS X(k) represents N evenly spaced samples of the z-transform X(z) around the unit circle. Relation to the DTFT. The DFS is obtained by evenly sampling the DTFT at w 1 intervals.

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Brian Do and the Bionic Bunnies

Myoelectric Prosthesis. Brian Do and the Bionic Bunnies. Alex Sollie |Callie Wentling | Michael LoNigro | Kerry Schmidt | Elizabeth DeVito | Brian Do. Johns Hopkins Applied Physics Lab, Baltimore, MD. Objectives. Create a myoelectric interface device

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Modeling Based Engineering for Safe and Sustainable Body Area Network and Data Centers

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FFT in Hardware and Software

FFT in Hardware and Software. Background. Core Algorithm Original Algorithm, the DFT, O(n 2 ) complexity New Algorithm, the FFT (Fast Fourier Transform), O(nlog 2 (n)) depending on implementation. DFT Computation.

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FFT in Hardware and Software

FFT in Hardware and Software. Background. Core Algorithm Original Algorithm, the DFT, O(n 2 ) complexity New Algorithm, the FFT (Fast Fourier Transform), O(nlog 2 (n)) depending on implementation. DFT Computation.

491 views • 35 slides

FFT in Hardware and Software

FFT in Hardware and Software. Background. Core Algorithm Original Algorithm, the DFT, O(n 2 ) complexity New Algorithm, the FFT (Fast Fourier Transform), O(nlog 2 (n)) depending on implementation. DFT Computation.

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Optimizing Radix-2 FFT Algorithm for PowerPC Architecture

Optimizing Radix-2 FFT Algorithm for PowerPC Architecture. 9/24/2007 PEREZ-SEVA Jean-Paul, THALES Computers. The authors. Jean-Paul Perez-Seva Thales Computers - www.thalescomputers.com Serge Tissot Thales Computers - www.thalescomputers.com Michel Cosnard INRIA - www.inria.fr

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102-1 Under-Graduate Project Case Study: Single-path Delay Feedback FFT

102-1 Under-Graduate Project Case Study: Single-path Delay Feedback FFT. Speaker: Darcy Tsai Advisor: Prof. An- Yeu Wu Date: 2013/10/31. Outline. Introduction of Fast Fourier Transform (FFT) DFT/IDFT & FFT/IFFT Flow Graph of FFT Algorithm Hardware Implementation Radix-n FFT Algorithm

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Fast Fourier Transform

Fast Fourier Transform. Jean Baptiste Joseph Fourier (1768-1830). These lecture slides are adapted from CLRS. Fast Fourier Transform. Applications. Perhaps single algorithmic discovery that has had the greatest practical impact in history.

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18-491 Lecture #18 FAST FOURIER TRANSFORM ALTERNATE IMPLEMENTATIONS

18-491 Lecture #18 FAST FOURIER TRANSFORM ALTERNATE IMPLEMENTATIONS. Richard M. Stern. Department of Electrical and Computer Engineering Carnegie Mellon University Pittsburgh, Pennsylvania 15213 Phone: +1 (412) 268-2535 FAX: +1 (412) 268-3890 rms@cs.cmu.edu http://www.ece.cmu.edu/~rms

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Prof. Swarat Chaudhuri

COMP 482: Design and Analysis of Algorithms. Prof. Swarat Chaudhuri. Spring 2013 Lecture 13. Q1: Choosing between algorithms. Suppose you are choosing between 3 algorithms:

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18-491 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM

18-491 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM. Richard M. Stern. Department of Electrical and Computer Engineering Carnegie Mellon University Pittsburgh, Pennsylvania 15213 Phone: +1 (412) 268-2535 FAX: +1 (412) 268-3890 rms@cs.cmu.edu http://www.ece.cmu.edu/~rms

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18-791 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM

18-791 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM. Richard M. Stern. Department of Electrical and Computer Engineering Carnegie Mellon University Pittsburgh, Pennsylvania 15213 Phone: +1 (412) 268-2535 FAX: +1 (412) 268-3890 rms@cs.cmu.edu http://www.ece.cmu.edu/~rms

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18-791 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM

18-791 Lecture #17 INTRODUCTION TO THE FAST FOURIER TRANSFORM ALGORITHM. Richard M. Stern. Department of Electrical and Computer Engineering Carnegie Mellon University Pittsburgh, Pennsylvania 15213 Phone: +1 (412) 268-2535 FAX: +1 (412) 268-3890 rms@cs.cmu.edu http://www.ece.cmu.edu/~rms

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The Fast Fourier Transform

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The Fast Fourier Transform

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Discrete Fourier Transforms

Discrete Fourier Transforms. Consider finite duration signal Its z-tranform is Evaluate at points on z-plane as We can evaluate N independent points. Discrete Fourier Transforms. This is known as the Discrete Fourier Transform (DFT) of Periodic in k ie

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The Fast Fourier Transform

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III Digital Audio III.4 (We Oct 15) Fast Fourier Transform (FFT)

III Digital Audio III.4 (We Oct 15) Fast Fourier Transform (FFT). Recall these facts: The representation. w r = w(r?) = w(r/N) = ? m = 0, 1, 2, 3, ... N-1 c m e i2 ?. m r/N.

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