Konvolusi
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Dina matematika sarta, hususna, analisis fungsional, konvolusi nyaéta operator matematis anu ngajadikeun dua fungsi x1 jeung x2 jadi fungsi katilu nu dianggap salaku vérsi modifikasi tina fungsi-fungsi asal. Konvolusi mangrupa hiji alat matematika dina élmu statistik, citra, pamrosésan sinyal, sarta persamaan diférential.
Définisi[édit | édit sumber]
Konvolusi tina dua sinyal jeung , nu dilambangkeun ku nyaéta hiji sinyal anyar x(t) anu didéfinisikeun ku:
Sifat konvolusi[édit | édit sumber]
Konvolusi jeung fungsi [édit | édit sumber]
Téoréma konvolusi[édit | édit sumber]
Lamun atawa ngalambangkeun transformasi Fourier tina fungsi , atawa ngalambangkeun transformasi Fourier tina fungsi , sarta hiji konstanta, mangka:
sarta:
Tempo ogé[édit | édit sumber]
- Toeplitz matrix (convolutions can be considered a Toeplitz matrix operation where éach row is a shifted copy of the convolution kernel)
- Cross-correlation
- Deconvolution
- Dirichlet convolution
- Titchmarsh convolution theorem
- Convolution power
- Analog signal processing
- List of convolutions of probability distributions
Tumbu kaluar[édit | édit sumber]
Tempo convolution dina Wiktionary, kamus bébas.
- http://www.nitte.ac.in/downloads/Conv-LTI.pdf
- Convolution, on The Data Analysis BriefBook
- http://www.jhu.edu/~signals/convolve/index.html Visual convolution Java Applet.
- http://www.jhu.edu/~signals/discreteconv2/index.html Visual convolution Java Applet for Discrete Time functions.
- Lectures on Image Processing: A collection of 18 lectures in pdf format from Vanderbilt University. Lecture 7 is on 2-D convolution., by Alan Peters.
- Convolution Kernel Mask Operation Interactive tutorial
- Convolution at MathWorld
Rujukan[édit | édit sumber]
- Hsu, Hwei P., Schaum's Outline of Théory and Problems of Analog and Digital Communications, McGraw Hill, 1993