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OER Matters

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Keywords: Convolution

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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.

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 »

Circular Convolution and the DFT

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

Abstract: This module describes the circular convolution algorithm and an alternative algorithm

Circular Convolution Property of Fourier Series

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

Abstract: This module looks at the basic circular convolution relationship between two sets of Fourier coefficients.

Continuous-Time Convolution

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

Abstract: Defines convolution and derives the Convolution Integral.

Continuous-Time Convolution plus VI

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

Abstract: The module will introduce the convolution integral and how it can be used as a powerful tool in determining a system's output.

Convolución de Tiempo-Continuo

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

Abstract: Definir la convolución y obtener la Integral de Convolución.

Convolution

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

Abstract: In this lab, we will explore convolution and how it can be used with signals such as audio.

Convolution - Analog

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

Abstract: Introduces convolution for analog signals.

Convolution - Complete example

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

Abstract: Shows a full example of convolution including math and figures.

Convolution - Discrete time

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

Abstract: The idea of discrete-time convolution is exactly the same as that of continuous-time convolution. For this reason, it may be useful to look at both versions to help your understanding of this extremely important concept. Convolution is a very powerful tool in determining a system's output from knowledge ... More »

Differential Equations, Spring 2004

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Type: Course Related Materials
Subject: Mathematics and Statistics
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers ... More »

Differential Equations, Spring 2006

Rating:
Type: Course Related Materials
Subject: Mathematics and Statistics
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers ... More »

Discrete-Time Convolution

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

Abstract: Convolution is a concept that extends to all systems that are both linear and time-invariant (LTI). It will become apparent in this discussion that this condition is necessary by demonstrating how linearity and time-invariance give rise to convolution.

Discrete-Time Fourier Transform

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

Abstract: Review of the discrete time fourier transform.

DTFT and Convolution

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

Abstract: An overview of the DTFT and Convolution.

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.

Fast Convolution Using the FFT

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

Abstract: This module describes FFT, convolution, filtering, LTI systems, digital filters and circular convolution.

Filtering with the DFT

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

Abstract: The ideas of using the DFT to filter a signal and recover a signal from a noisy transmission are addressed based on the ideas of the DFT and convolution.

Graphical Convolution Algorithm

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

Abstract: This module discusses the Graphical Convolution Algorithm with the help of examples.