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Convolution and Correlation

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Fourier Analysis—A Signal Processing Approach
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Abstract

Fast computation of the 1-D and 2-D linear convolution and correlation operations by using the DFT is presented. Implementing the convolution of long sequences using the overlap–save method along with the DFT is explained. Some applications, using the DFT to implement the convolution and correlation operations, in image processing and digital communications applications are presented in detail.

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Correspondence to D. Sundararajan .

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© 2018 Springer Nature Singapore Pte Ltd.

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Sundararajan, D. (2018). Convolution and Correlation. In: Fourier Analysis—A Signal Processing Approach. Springer, Singapore. https://doi.org/10.1007/978-981-13-1693-7_5

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  • DOI: https://doi.org/10.1007/978-981-13-1693-7_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1692-0

  • Online ISBN: 978-981-13-1693-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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