Application of Simulink in the Implementation of Calculation Algorithms for Continuous Wavelet Transform on a Digital Signal Processor

 

Dmitry V. Zhuravov ¹, Andrey B. Stepanov ²

¹ Synopsys SPb LLC, Prof. Popov Str., 23-D, Saint-Petersburg 193376, Russia

² The Bonch-Bruevich Saint-Petersburg State University of Telecommunications

Bolshevikov prosp. 22-1, Saint-Petersburg 193232, Russia

 

The paper is received on May 7, 2019

 

Abstract. The paper describes the technology of implementing calculation algorithms for continuous wavelet transform on a digital signal processor using Simulink. The basic concepts of wavelets and continuous wavelet transform are given. Three calculation algorithms for continuous wavelet transform are considered: first, on the basis of a discrete wavelet transform, second, using a cross-correlation function and third, using a fast Fourier transform. The paper presents Simulink models that allow describing the calculation algorithms of continuous wavelet transform at the level of logical block diagrams, as well as the results of implementing these algorithms on Texas Instruments TMS320C5515 Evaluation Module (EVM). A comparative analysis of the wavelet spectrograms obtained in MATLAB and output to the LCD display of the debug board is performed.

Keywords: wavelet, continuous wavelet transform,digital signal processor, Simulink, MATLAB.

References

1.     A.I. Solonina, S.M. Arbuzov. Tsifrovaya obrabotks signalov. Modelirovanie v MATLAB [Digital Signal Processing. Modeling in MATLAB]. St. Petersburg BHV-Petersburg Publ., 2008. (In Russian)

2.     I. Daubechies. Ten Lectures on Wavelets. SIAM, 1992.

3.     C. Blatter. Wavelets – Eine Einfuhrung. A.K. Peters Ltd., 1998.

4.     N.K. Smolentsev. Osnovy teorii veyvletov. Veivlety v MATLAB. [Fundamentals of the Theory of Wavelets. Wavelets in MATLAB]. Moscow, DMK-Press Publ., 2014.

5.     G.G. Stark. Ispolzovanie veivletov dlya tsifrovoy obrabotki signalov [The Use of Wavelets for DSP]. Moscow, Technosphera Publ., 2007. (In Russian)

6.     A.B. Stepanov.  The Application of Neural Network and Spline Wavelet Models in the Electroencephalogram Analysis Automation Process, Proceedings of FRUCT Conf., Apr. 2016, pp. 321-327.

7.     A.B. Stepanov. Neural network model of wavelets for the continuous wavelet transform. Proc. of ICCTPEA Conf., Jun.-Jul. 2014, pp. 177-178.

8.     E. Ifeachor, B. Jervis. Digital Signal Processing: a practical approach. Pearson Education Limited, 2002.

 

For citation:

Dmitry V. Zhuravov, Andrey B. Stepanov. Application of Simulink in the implementation of calculation algorithms for continuous wavelet transform on a digital signal processor. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No.5. Available at http://jre.cplire.ru/jre/may19/10/text.pdf

DOI  10.30898/1684-1719.2019.5.10