Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python

This paper presents implementation of Discrete Fourier Transform and Orthogonal Discrete Wavelet Transform in Python computer programming language. The Fourier Transform is a fundamental signal processing tool whereas the Wavelet Transform is a powerful and advanced signal processing tool. Both hav...

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Main Authors: Tariq Javid Ali, Pervez Akhtar, Muhammad Faris, Idris Mala, Syed Saood Zia
Format: Article
Language:English
Published: Shaheed Zulfikar Ali Bhutto Institute of Science and Technology 2016-07-01
Series:JISR on Computing
Subjects:
Online Access:https://jisrc.szabist.edu.pk/ojs/index.php/jisrc/article/view/103
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author Tariq Javid Ali
Pervez Akhtar
Muhammad Faris
Idris Mala
Syed Saood Zia
author_facet Tariq Javid Ali
Pervez Akhtar
Muhammad Faris
Idris Mala
Syed Saood Zia
author_sort Tariq Javid Ali
collection DOAJ
description This paper presents implementation of Discrete Fourier Transform and Orthogonal Discrete Wavelet Transform in Python computer programming language. The Fourier Transform is a fundamental signal processing tool whereas the Wavelet Transform is a powerful and advanced signal processing tool. Both have applications in numerous scientific and engineering disciplines. Our implementation aims to develop a deeper understanding of these transformations by presenting detailed coding steps to generate the frequency-domain and wavelet-domain outputs for selected example time-domain input signals. The results generated from developed program code are compared using built-in functions with similar matches have shown the successful implementation.
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1998-4154
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last_indexed 2024-03-12T14:36:07Z
publishDate 2016-07-01
publisher Shaheed Zulfikar Ali Bhutto Institute of Science and Technology
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spelling doaj.art-58586b8307ba4e6b9ff116f4c9b6f2272023-08-17T06:45:25ZengShaheed Zulfikar Ali Bhutto Institute of Science and TechnologyJISR on Computing2412-04481998-41542016-07-0114110.31645/jisrc/(2016).14.1.0001Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In PythonTariq Javid Ali0Pervez Akhtar1Muhammad Faris2Idris Mala3Syed Saood Zia4Hamdard Institute of Engineering and Technology, Hamdard University, Karachi-74800, PakistanHamdard Institute of Engineering and Technology, Hamdard University, Karachi-74800, PakistanHamdard Institute of Engineering and Technology, Hamdard University, Karachi-74800, PakistanComputer Science Department, Usman Institute of Technology, Karachi-75300, PakistanComputer Engineering Department, SSUET, Karachi-75300, Pakistan This paper presents implementation of Discrete Fourier Transform and Orthogonal Discrete Wavelet Transform in Python computer programming language. The Fourier Transform is a fundamental signal processing tool whereas the Wavelet Transform is a powerful and advanced signal processing tool. Both have applications in numerous scientific and engineering disciplines. Our implementation aims to develop a deeper understanding of these transformations by presenting detailed coding steps to generate the frequency-domain and wavelet-domain outputs for selected example time-domain input signals. The results generated from developed program code are compared using built-in functions with similar matches have shown the successful implementation. https://jisrc.szabist.edu.pk/ojs/index.php/jisrc/article/view/103DFTDWTConvolution
spellingShingle Tariq Javid Ali
Pervez Akhtar
Muhammad Faris
Idris Mala
Syed Saood Zia
Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
JISR on Computing
DFT
DWT
Convolution
title Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
title_full Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
title_fullStr Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
title_full_unstemmed Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
title_short Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
title_sort implementation of discrete fourier transform and orthogonal discrete wavelet transform in python
topic DFT
DWT
Convolution
url https://jisrc.szabist.edu.pk/ojs/index.php/jisrc/article/view/103
work_keys_str_mv AT tariqjavidali implementationofdiscretefouriertransformandorthogonaldiscretewavelettransforminpython
AT pervezakhtar implementationofdiscretefouriertransformandorthogonaldiscretewavelettransforminpython
AT muhammadfaris implementationofdiscretefouriertransformandorthogonaldiscretewavelettransforminpython
AT idrismala implementationofdiscretefouriertransformandorthogonaldiscretewavelettransforminpython
AT syedsaoodzia implementationofdiscretefouriertransformandorthogonaldiscretewavelettransforminpython