Abstract
Convolution computing is an important section in signal processing and it has many applications in the real life, such as medical signal analysis, image and video processing, linear system simulation, communication analysis, electronics, automation and so on. There are there types of convolution algorithms and they are linear convolution, periodic convolution and circular convolution, which are the key points and difficult points in signal processing, because these three concepts are abstract for students to understand and master. In this paper, we will explain the definition of these three convolutions; analyze the relationship between them, especially study deeply on the equalization conditions of these convolutions’ transformation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hazra J, Kayal D, Dandapat A, Sarkar CK (2011) Design of a high speed low power linear convolution circuit using McCMOS technique. IMPACT’2011. 276–279
Martinez J, Heusdens R, Hendriks RC (2011) A generalized poisson summation formula and its application to fast linear convolution. IEEE Sign Process Lett 18(9):501–504
Bu HW, Hon TH (2011) Investigation on the FFT-based antenna selection for compact uniform circular arrays incorrelated MIMO channels. IEEE Trans Sign Proc. 59(2):739–746
Chen PQ (2008) Digital signal processing, 3rd edn. Tsinghua University Press, Beijing
Martinez-Torres MR, BarreroGarcia FJ, ToralMarin SL, GallardoVazquez S (2005) A digital signal processing teaching methodology using concept-mapping techniques. IEEE Trans Educ 48(3):422–429
Hu XY, Wang Y, Hu YL (2007) Reform and practice of teaching of digital signal processing. High Educ Forum. 3:67–69
Acknowledgments
This work is supported by a grant from the Fundamental Research Funds for the Central Universities (No. 1112KYQN40, No. 1112KYZY49, No. 0910KYZY55) and Cultural heritage protection science and technology project of Cultural relics bureau (No.20110135). Our gratitude is extended to the anonymous reviewers for their valuable comments and professional contributions to the improvement of this paper.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Song, W. (2014). Research on Three Convolutions Related Issues in Signal Processing. In: Li, S., Jin, Q., Jiang, X., Park, J. (eds) Frontier and Future Development of Information Technology in Medicine and Education. Lecture Notes in Electrical Engineering, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7618-0_121
Download citation
DOI: https://doi.org/10.1007/978-94-007-7618-0_121
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-7617-3
Online ISBN: 978-94-007-7618-0
eBook Packages: EngineeringEngineering (R0)