A ROM-less direct digital frequency synthesizer based on fifth-degree Bezier curve approximation

Author

Singh, Rajdeep ; Roy, Kaushik ; Kapuriya, B.R. ; Bhattacharya, C.

Author_Institution

Defence Inst. of Adv. Technol.., Pune, India

fYear

2013

fDate

1-2 March 2013

Firstpage

13

Lastpage

16

Abstract

We report here fifth-degree Bezier curve approximations by genetic algorithm for sine amplitudes that computes the amplitudes from phase values ranging from 0 to π/2. The full period of a sine wave is generated by exploiting the quarter wave symmetry. Sine waves generated by this technique are spectrally very pure, and are produced without ROM in a direct digital frequency synthesizer (DDS). It produces sine waves with a maximum error in amplitude of order 7.6×10^-06 that is lesser than errors introduced in any typical DDS based sine wave output. DDS circuitry is designed in the Simulink environment. Spectral analysis shows that worst case spurious free dynamic range (SFDR) for a sinusoid is -132 dBc.

Keywords

approximation theory; direct digital synthesis; genetic algorithms; spectral analysis; DDS based sine wave output; ROM-less direct digital frequency synthesizer; SFDR; Simulink environment; fifth-degree Bezier curve approximation; genetic algorithm; quarter wave symmetry; spectral analysis; spurious free dynamic range; Approximation methods; Frequency synthesizers; Generators; Genetic algorithms; Read only memory; Sociology; Statistics; Bezier curve approximation; DDS; SFDR; genetic alogrithim;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems and Signal Processing (ISSP), 2013 International Conference on

Conference_Location

Gujarat

Print_ISBN

978-1-4799-0316-0

Type

conf

DOI

10.1109/ISSP.2013.6526866

Filename

6526866