# Analysis Related Documentation

This topic lists the reference material used to produce the analysis functions. These references contain more information on the theories and algorithms implemented in the analysis library. Refer to the National Instruments Books and Publications section of ni.com for more information about ordering these documents and for a full list of related reference materials.

Ascher, Uri M., and Linda R. Petzold. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Philadelphia: Society for Industrial and Applied Mathematics, 1998.

Baher, H. Analog & Digital Signal Processing. New York: John Wiley & Sons, 1990.

Baily, David H. and Paul N. Swartztrauber. “The Fractional Fourier Transform and Applications.” Society of Industrial and Applied Mathematics Review 33, no. 3 (September 1991): 389–404.

Bates, D. M. and D. G. Watts. Nonlinear Regression Analysis and its Applications. New York: John Wiley & Sons, 1988.

Bertsekas, Dimitri P. Nonlinear Programming. 2d ed. Belmont, Massachusetts: Athena Scientific, 1999.

Bracewell, R.N. “Numerical Transforms.” Science 248, (11 May 1990).

Burden, R. L. and J. D. Faires. Numerical Analysis. 3d ed. Boston: Prindle, Weber & Schmidt, 1985.

Chen, C. H. et al. Signal Processing Handbook. New York: Marcel Decker, Inc., 1988.

Chugani, Mahesh L., Abhay R. Samant, and Michael Cerna. LabVIEW Signal Processing. Upper Saddle River, NJ: Prentice Hall PTR, 1998.

Crandall, R. E. Projects in Scientific Computation. Berlin: Springer, 1994.

DeGroot, M. Probability and Statistics. 2d ed. Reading, Massachusetts: Addison-Wesley Publishing Co., 1986.

Dowdy, S. and S. Wearden. Statistics for Research. 2nd ed. New York: John Wiley & Sons. 1991.

Dudewicz, E. J. and S. N. Mishra. Modern Mathematical Statistics. New York: John Wiley & Sons, 1988.

Duhamel, P. et al. “On Computing the Inverse DFT.” IEEE Transactions.

Dunn, O. and V. Clark. Applied Statistics: Analysis of Variance and Regression. 2nd ed. New York: John Wiley & Sons. 1987.

Ecker, Joseph G. and Michael Kupferschmid. Introduction to Operations Research. New York: Krieger Publishing, 1991.

Elliot, D. F. Handbook of Digital Signal Processing Engineering Applications. San Diego: Academic Press, 1987.

Fahmy, M. F. “Generalized Bessel Polynomials with Application to the Design of Bandpass Filters.” Circuit Theory and Applications 5, (1977): 337–342.

Gander, W. and J. Hrebicek. Solving Problems in Scientific Computing using Maple and MATLAB. Berlin: Springer, 1993.

Golub, G.H. and C. F. Van Loan. Matrix Computations. Baltimore: The John Hopkins University Press, 1989.

Harris, Fredric J. “On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform.” Proceedings of the IEEE 66, no. 1 (1978).

Lanczos, C. A. “Precision Approximation of the Gamma Function.” Journal SIAM Numerical Analysis series B, no. 1 (1964): 87–96.

Maisel, J. E. “Hilbert Transform Works With Fourier Transforms to Dramatically Lower Sampling Rates.” Personal Engineering and Instrumentation News 7, no. 2 (February 1990).

Miller, I. and J. E. Freund. Probability and Statistics for Engineers. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1987.

Mitra, Sanjit K. and James F. Kaiser. Handbook for Digital Signal Processing. New York: John Wiley & Sons, 1993.

Neter, J. et al. Applied Linear Regression Models. Richard D. Irwin, Inc., 1983.

Neuvo, Y., C. Y. Dong, and S. K. Mitra. “Interpolated Finite Impulse Response Filters” IEEE Transactions on ASSP ASSP-32, no. 6 (June, 1984).

O’Neill, M. A. “Faster Than Fast Fourier.” BYTE (April 1988).

Oppenheim, A. V. and R. W. Schafer. Discrete-Time Signal Processing. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1989.

Oppenheim, Alan V. and Alan S. Willsky. Signals and Systems. New York: Prentice-Hall, Inc., 1983.

Parks, T. W. and C. S. Burrus. Digital Filter Design. New York: John Wiley & Sons, Inc., 1987.

Pearson, C. E. Numerical Methods in Engineering and Science. New York: Van Nostrand Reinhold Co., 1986.

Press, William H., Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes in C, The Art of Scientific Computing. Cambridge: Cambridge University Press, 1994.

Qian, Shie and Dapang Chen. Joint Time-Frequency Analysis. New York: Prentice-Hall, Inc., 1996.

Rabiner, L. R. and B. Gold. Theory and Application of Digital Signal Processing. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1975.

Rockey, K. C., H. R. Evans, D. W. Griffiths, and D. A. Nethercot. The Finite Element Method—A Basic Introduction for Engineers. New York: John Wiley & Sons, 1983.

Shampine, Lawrence F. Numerical Solution of Ordinary Differential Equations. New York: Chapman & Hall, Inc., 1994.

Sorensen, H. V. et al. “On Computing the Split-Radix FFT.” IEEE Transactions on ASSP ASSP-34, no. 1 (February 1986).

Sorensen, H. V. et al. “Real-Valued Fast Fourier Transform Algorithms.” IEEE Transactions on ASSP ASSP-35, no. 6 (June 1987).

Spiegel, M. Schaum’s Outline Series on Theory and Problems of Probability and Statistics. New York: McGraw-Hill, 1975.

Stoer, J. and R. Bulirsch. Introduction to Numerical Analysis. New York: Springer-Verlag, 1987.

Vaidyanathan, P. P. Multirate Systems and Filter Banks. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1993.

Wichman, B. and D. Hill. “Building a Random-Number Generator: A Pascal Routine for Very-Long-Cycle Random-Number Sequences.” BYTE (March 1987): 127–128.

Wilkinson, J. H. and C. Reinsch. Linear Algebra, Vol. 2 of Handbook for Automatic Computation. New York: Springer, 1971.

Williams, John R. and Kevin Amaratunga. “Introduction to Wavelets in Engineering.” International Journal for Numerical Methods in Engineering 37, (1994): 2365–2388.

Zwillinger, Daniel. Handbook of Differential Equations. San Diego: Academic Press, 1992.