Error analysis of the chirp-z transform when implemented using waveform synthesizers and FFTs
This report analyzes the effects of finite-precision arithmetic on discrete Fourier transforms (DFTs) calculated using the chirp-z transform algorithm. An introduction to the chirp-z transform is given together with a description of how the chirp-z transform is implemented in hardware. Equations for the effects of chirp rate errors, starting frequency errors, and starting phase errors on the frequency spectrum of the chirp-z transform are derived. Finally, the maximum possible errors in the chirp rate, the starting frequencies, and starting phases are calculated and used to compute the worst case effects on the amplitude and phase spectrums of the chirp-z transform. 1 ref., 6 figs.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- DOE/AD
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6297820
- Report Number(s):
- SAND-90-1965; ON: DE91004939
- Country of Publication:
- United States
- Language:
- English
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