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2252 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS--I: REGULAR PAPERS, VOL. 54, NO. 10, OCTOBER 2007 Theoretical Upperbound of the Spurious-Free
 

Summary: 2252 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS--I: REGULAR PAPERS, VOL. 54, NO. 10, OCTOBER 2007
Theoretical Upperbound of the Spurious-Free
Dynamic Range in Direct Digital Frequency
Synthesizers Realized by Polynomial
Interpolation Methods
Ashkan Ashrafi, Member, IEEE, and Reza Adhami, Senior Member, IEEE
Abstract--In this paper, a universal mathematical method is pro-
posed to determine the upperbound of the spurious-free dynamic
range (SFDR) in direct digital frequency synthesizers (DDFSs) re-
alized by piecewise polynomial interpolation methods. The Fourier
series is used to establish a linear matrix relationship between the
frequency spectrum of the interpolated sinusoidalsignal and the co-
efficients of the interpolating polynomials. This matrix relationship
can be considered as a linear overdetermined system of equations,
which can be solved for the ideal spectrum where the fundamental
harmonichasanamplitudeofoneandtheotherharmonicsarezero.
It is shown that the Moore­Penrose pseudoinverse and Chebyshev
minimax methods find the coefficients corresponding to the largest
signal-to-noise ratio and maximum SFDR designs, respectively.
The proposed method is used to show that the maximum SFDR of a

  

Source: Ashrafi, Ashkan - Department of Electrical and Computer Engineering, San Diego State University

 

Collections: Engineering; Computer Technologies and Information Sciences