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OER Matters

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Keywords: FFT

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2D DFT

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: This module extends the ideas of the Discrete Fourier Transform (DFT) into two-dimensions, which is necessary for any image processing.

Alternate FFT Structures

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: FFT structures with different memory layout and interconnection patterns are occasionally useful for certain applications. These alternate structures include decimation-in-frequency FFTs with in-order outputs, decimation-in-time FFTs with in-order inputs, structures with both in-order inputs and outputs, ... More »

Biological Engineering II: Instrumentation and Measurement, Fall 2006

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Type: Course Related Materials
Subject: Science and Technology
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS ... More »

Choosing the Best FFT Algorithm

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Power-of-two-length FFTs are usually best for general use when the DFT length is somewhat at the user's discretion. The best power-of-two algorithm may depend on the type of computer to be used.

Decimation-in-Frequency (DIF) Radix-2 FFT

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: The radix-2 algorithms are the simplest FFT algorithms. The decimation-in-frequency (DIF) radix-2 FFT partitions the DFT computation into even-indexed and odd-indexed outputs, which can each be computed by shorter-length DFTs of different combinations of input samples. Recursive application of this decomposition ... More »

Decimation-in-time (DIT) Radix-2 FFT

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: The radix-2 algorithms are the simplest FFT algorithms. The decimation-in-time (DIT) radix-2 FFT recursively partitions a DFT into two half-length DFTs of the even-indexed and odd-indexed time samples.

Derivando la Transformada Rápida de Fourier

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Usando el algoritmo de Cooley-Tukey para derivar la transfromada rápida.

Deriving the Fast Fourier Transform

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Using the Cooley-Tukey algorithm to derive fast transforms.

Detecting Notes or Chords

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Type: Course Related Materials
Subject: Science and Technology, Arts
Collection: Connexions
Grade Level: Post-secondary

Abstract: This module demonstrates how we use Matlab to determine if a guitar player is playing single notes or chords.

DFT as a Matrix Operation

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: This module introduces linear algebra, DFT, FFT, matrix and vector.

DFT: Fast Fourier Transform

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: The DFT can be reduced from exponential time with the Fast Fourier Transform algorithm.

DFT: Transformada Rápida de Fourier

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Type: Course Related Materials
Subject: Mathematics and Statistics, Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: La DFT puede ser reducida del tiempo exponencial con el algoritmo de la transformada rápida de Fourier

Digital Signal Processing: A User's Guide

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Digital Signal Processing: A User's Guide is intended both for the practicing engineer with a basic knowledge of DSP and for a second course in signal processing at the senior or first-year postgraduate level. FFTs, digital filter design, adaptive filters, and multirate signal processing are covered ... More »

Discrete Fourier Transformation

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Type: Course Related Materials
Subject: Science and Technology, Mathematics and Statistics
Collection: Connexions
Grade Level: Post-secondary

Abstract: This module covers the fundamentals of Discrete-Fourier Transformations.

Discrete-Time Filtering Example

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Average stock price as an example of discrete-time filtering.

DSP Optimization Techniques

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: An overview of DSP optimization techniques, from the design stage, through high-level implementations, to assembly implementations.

Efficiency in Filtering

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Compares the efficiency of frequency-domain and time-domain filtering.

Efficiency of Frequency-Domain Filtering

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Compares the efficiency of frequency domain and time domain filtering.

Efficient FFT Algorithm and Programming Tricks

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Many tricks and techniques have been developed to speed up the computation of FFTs. Significant reductions in computation time result from table lookup of twiddle factors, compiler-friendly or assembly-language programming, special hardware, and FFT algorithms for real-valued data. Higher-radix algorithms, ... More »

Fast Convolution

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Type: Course Related Materials
Subject: Science and Technology
Collection: Connexions
Grade Level: Post-secondary

Abstract: Efficient computation of convolution using FFTs.

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