Flexible data size fast fourier transform process for sparse...

G - Physics – 06 – F

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G06F 15/332 (1990.01)

Patent

CA 2116209

Conventional digital measurement instruments and software use radix-2 fast Fourier transform (FFT) to analyze steady state sinusoidal and harmonic signals. Steady state sinusoidal and harmonic signals occurs commonly in rotating machine vibration, mechanical and electrical modal oscillation, and electric power system. Analogue anti-aliasing filters and digital time domain windows, such as Hanning and Gaussian windows, are applied to the signal to reduce the error resulted from the radix-2 FFT. The use of these windows can be eliminated if the data size contains exact number of integral multiples of the sinusoidal and harmonic signals. Radix-2 FFT forces the user to limit data size (number of data points) to power of 2 (for example ...., 256, 512, 1024, 2048, ...). It is impossible to match a limited number of data sizes to the aforementioned signals with readily available data-sampling rates (such as 1000, 2000, 5000, 10000, ... samples per second). The following disclosure describe that through multiple application of flexible data size mixed radix FFT can eliminate the use of the windows and produce more accurate results.

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