Integration of equally spaced sampled data using a generalized Whittaker's reconstruction formula
David O. Smallwood · IEEE Transactions on Acoustics Speech and Signal Processing · 1980
A family of integration formulas for equally spaced sampled data are derived which can have errors of -70 dB or less over a bandwidth of 95 percent of more of the Nyquist bandwidth. The formulas are based on the integration of a reconstructed waveform using a generalized Whittaker's cardinal function.