Method and apparatus for interpolating between data samples

G - Physics – 06 – G

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354/138

G06G 7/30 (2006.01) G01R 23/16 (2006.01) H03H 17/06 (2006.01)

Patent

CA 1324674

METHOD AND APPARATUS FOR INTERPOLATING BETWEEN DATA SAMPLES Abstract of the Disclosure A method and apparatus for interpolating between data samples (VS) that preserves the frequency spectrum of a sampled analog signal (VO) is provided. Data samples (VS) are interpolated to produce interpolated values (VIV) that contain frequency domain information that accurately replicates an original frequency spectrum (24) of the analog signal (VO) is disclosed. A signal processor (10) reads data samples (VS) which occur at sampling times (tS) and resample times (tR) at which the VS values are interpolated. A set of tS times are found near each tR time. A digital FIR filter having a frequency function (H(fT)) and a continuous impulse response function h (?) is embodied in software form within a program that controls the signal processor (10) where T is the width ofthe filter impulse response. The signal processor (10) convolves an offset continuous impulse response function Image with the VS values. A plurality of convolved values (VC) are summed at each tR time to produce an interpolated value (VIV) at each tR time. The frequency response function (H(fT)) of the digital FIR filter reduces aliasing errors introduced by spectral images (25a and 25b) of the original frequency spectrum (24) and reduces amplitude errors caused by the filter's pass band ripple (38). The VIV values contain frequency domain information that accurately replicates the original frequency spectrum (24).

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