Application of Time Recursive Processing for the Development of a Time/Phase Shifter


  • D. M. Perisic Faculty of Information Technology, Slobomir P University, Bosnia and Herzegovina
  • M. Bojovic Faculty of Electrical Engineering, University of Belgrade, Belgrade, Serbia


This paper describes a powerful digital time and/or phase shifter of pulse rates, based on Time Recursive Processing. It can function either as a time shifter or as a phase shifter. The circuit can generate precise shifting for a pulse rate with a constant input period, but it is also capable to shift a pulse rate whose period is a ramp function. Besides that, the shifter can be used in tracking and prediction applications. The shifter is described by recursive equations as a linear discrete system. All mathematical analyses are made using the Z transform. Computer simulations are employed to prove the correctness of the mathematical analysis. The realization of the shifter is described and, to demonstrate the shifter functioning, actual oscilloscope screenshots are presented.


time shifter, phase shifter, digital circuit, PLL


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D. Perisic, M. Perisic, S. Rankov, “Phase shifter based on a Recursive Phase Locked Loop of the second order”, Rev. Roum. Sci. Techn.–Electrotechn. et Energ., Vol. 59, No. 4, pp. 391–400, 2014

D. Perisic, A. Zoric, D. Babic, D. Perisic, “Recursive PLL of the First Order”, Przegląd Elektrotechniczny, Vol. 89, No.7, pp. 50-53, 2013

D. Perisic, A. Zoric, S. Obradovic, D. Perisic, “FLL as digital period synthesizer based on Binary Rate Multiplier control”, Przegląd Elektrotechniczny, Vol. 89, No. 1a, pp. 145-148, 2013

D. Perisic, M. Bojovic, “Multipurpose Time Recursive PLL ”, Rev. Roum. Sci. Techn.–Electrotechn. et Energ., Vol. 61, No. 3, pp. 283–288, 2016

D. Perisic, A. Zoric, M. Perisic, D. Mitic, “Analysis and Application of FLL based on the Processing of the Input and Output Periods”, Automatika, Vol. 57, pp. 230–238, 2016 DOI:

D. Perisic, M. Perisic, D. Mitic, M. Vasic “Time Recursive Frequency Locked Loop for the tracking applications”, Rev. Roum. Sci. Techn.–Electrotechn. et Energ., Vol. 60, No. 2, pp. 195–203, 2015

D. Perisic, A. Zoric, M. Perisic, V. Arsenovic, L. Lazic “Recursive PLL based on the Measurement and Processing of Time”, Elektronika ir Elektrotechnika, Vol. 20, No. 5, pp. 33-36, 2014 DOI:

D. Perisic, A. Zoric, D. Babic, D. Perisic, “Decoding and Prediction of Energy state in Consumption control”, Rev. Roum. Sci. Techn.–Electrotechn. et Energ., Vol. 58, No. 3, pp. 263–272, 2013

D. Perisic, A. Zoric, S. Obradovic, S. Spalevic, “Application of Frequency Locked Loop in Consumption Peak Load Control”, Przegląd Elektrotechniczny, Vol. 88, No. 1b, pp. 264-267, 2012

R. N. Dean, A. K. Rane, “Digital Frequency-Locked Loop System for Capacitance Measurement”, IEEE Transactions on Instrumentation and Measurement, Vol. 62, No. 4, pp. 777-784, 2013 DOI:

M. Abdul-Niby, M. Alameen, H.Baitie, "A Simple Phase Shifting Technique for an Injection Locked Oscillator" Engineering, Technology & Applied Science Research, Vol. 6, No. 6, pp. 1303-1306, 2016 DOI:

D. Jovcic, “Phase locked loop system for FACTS”, IEEE Transactions on Power Systems, Vol. 18, No. 3, pp. 2116-2124, 2003 DOI:

D. Abramovich, “Phase-locked loops: a control centric tutorial”, American Control Conference, Vol 1, pp. 1-15, USA, November 07, 2002

A. S. N. Mokhtar, M. B. I. Raez, M. Marufuzzaman, M. A. M. Ali, “Hardware implementation of a high speed inverse park transformation using cordic and pll for foc brushless servo drive”, Elektronika ir Elektrotechnika, Vol. 19, No. 3, pp. 23-26, 2013 DOI:

M. Pastor, J. Dudric, “Grid-tied 15-level Cascade Inverter with Predictive Current Control”, Elektronika ir Elektrotechnika, Vol 18, No. 9, pp. 19-22, 2012 DOI:

G. Bianchi, Phase-Locked Loop Synthesizer Simulation, Nc-Hill, Inc. New York, USA, 2005

R. Vich, Z Transform Theory and Application (Mathematics and Applications), Springer, 1987

D. B. Tablot, Frequency Acquisition Techniques for Phase Locked Loops, Wiley-IEEE Press, 2012 DOI:


How to Cite

D. M. Perisic and M. Bojovic, “Application of Time Recursive Processing for the Development of a Time/Phase Shifter”, Eng. Technol. Appl. Sci. Res., vol. 7, no. 3, pp. 1582–1587, Jun. 2017.


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