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An 8-Bit Digitally Controlled Programmable Phase Shifter Circuit for Sinusoidal Signals with 252∘ Phase Control Range

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Abstract

In this paper, the synthesis, design, and implementation of a programmable phase shifter circuit for sinusoidal signals is presented. The proposed circuit, built-up herein with operational amplifiers (OPAMPs), high precision resistors and low voltage switches, consists of a digitally controlled amplitude attenuator in combination with a single-tone orthogonalizer. Experimental results agree with theoretical background: the attained phase range was 252∘ in 256 steps with a median step of 0.9∘. The inaccuracy of the circuit was determined to be of 0.03 %. Contrary to other OPAMP approaches for sinusoidal signals reported in the literature and based on a first-order all-pass filter structure, the approximation suggested in this work is based on a different concept. The achieved results demonstrate the functionality of the system for the case of a sinusoidal signal with frequency of 1 kHz. Notwithstanding, the proposed architecture can be extended to operate at higher frequencies by using different building blocks with larger bandwidth. Furthermore, it can be extended as well to work out with other periodic input waveforms, like triangular shapes or square waves, with the use of an appropriate orthogonalizer.

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Notes

  1. The programmable phase shifter of Fig. 7(a) was synthesized from the system depicted in Fig. 2(d). The α-block is performed by the R-2R ladder, which in this case is controlled by a 5-bit word (S 0−S 4), producing a 32 possible attenuations of the input signal, V in. In addition, a sixth bit, S 7, adds up to the input signal, when it is closed, with the attenuated waveform V at, leading approximately to a phase range of 63∘ per quadrant (see expression (6)). Thus, when 0≤α+S 7<2, then 27∘≤θ<90∘. If the 26∘ that are left are desired, then the following condition must be satisfied: 0≤α≤56, since the range between 0∘ and ±45∘ in the arctangent function encompasses a larger domain.

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Acknowledgements

The authors thank to the National Council of Science and Technology (CONACyT) of Mexico for the financial support through the Project CB-1000-1001-900.

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Authors and Affiliations

  1. Universidad Politécnica de Puebla, Tercer Carríl del Ejido “Serrano” s/n, San Mateo Cuanalá, Juan C. Bonilla, Puebla, Mexico

    Luis Abraham Sánchez Gaspariano, Clara Iliana Martínez Gómez & Carlos Muñíz Montero

  2. Instituto Nacional de Astrofísica, Óptica y Electrónica, Luis Enrique Erro No. 1, Santa María Tonantzintla, Puebla, Mexico

    José Miguel Rocha Pérez & Alejandro Díaz Sánchez

  3. Universidad Autónoma del Estado de México, José Revueltas No. 17, Tierra Blanca, Ecatepec, Mexico

    Jesús Ezequiel Molinar Solís

  4. Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, Jardínez de San Manuel, Puebla, Mexico

    Jesús Manuel Muñoz Pacheco

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  1. Luis Abraham Sánchez Gaspariano
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  2. Clara Iliana Martínez Gómez
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  3. José Miguel Rocha Pérez
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  6. Carlos Muñíz Montero
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  7. Alejandro Díaz Sánchez
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Correspondence to Luis Abraham Sánchez Gaspariano.

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Sánchez Gaspariano, L.A., Gómez, C.I.M., Pérez, J.M.R. et al. An 8-Bit Digitally Controlled Programmable Phase Shifter Circuit for Sinusoidal Signals with 252∘ Phase Control Range. Circuits Syst Signal Process 32, 415–431 (2013). https://doi.org/10.1007/s00034-012-9466-2

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  • DOI: https://doi.org/10.1007/s00034-012-9466-2

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