Quadratic approximation for fast fourier transformation

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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C708S270000, C708S271000, C708S290000, C708S313000

Reexamination Certificate

active

07984091

ABSTRACT:
Interpolators for quadratic approximation for sinusoids are described. A sample source providing first order derivatives of sub-sampled sets of phase factor samples is used. A differentiator is coupled to receive the first order derivatives and configured to provide second order derivatives of the first order derivatives. A first scaling device is coupled to receive each of the first order derivatives. A second differentiator is coupled to receive each of the first order derivatives and configured to respectively provide second order derivatives of the first order derivatives. A second scaling device is coupled to receive the second order derivatives. A first integrator is coupled to receive output from the first scaling device for preloading, and to receive output from the second scaling device for integration. A third scaling device is coupled to receive output from the first integrator. A second integrator is coupled to receive output from the third scaling device.

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