This topic lists the reference material used to produce the analysis VIs, including the Signal Processing and Mathematics VIs.

Note You can use the Signal Processing VIs and some of the Mathematics VIs only in the LabVIEW Full and Professional Development Systems. |

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.

Asmar, Nakhle H., Partial Differential Equations with Fourier Series and Boundary Value Problems. 2d ed. Englewood Cliffs, N.J.: Prentice Hall, 2004.

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.

Barrett, Richard et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. 2d ed. Philadelphia: SIAM, 1994.

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, (May 1990): 697–704.

Brenner, Susanne C., and L. Ridgway Scott. The Mathematical Theory of Finite Element Methods. New York: Springer, 1994.

Burden, R. L., and J. D. Faires. Numerical Analysis. 8th ed. Pacific Grove, Calif.: Brooks Cole, 2004.

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

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

Crandall, Richard E. Projects in Scientific Computation. Berlin: Springer, 2009.

DeGroot, M, and Mark J. Schervish. Probability and Statistics. 3d ed. Reading, Mass.: Addison-Wesley Publishing Co., 2001.

Dowdy, S., S. Wearden, and Daniel Chilko. Statistics for Research. 3d ed. New York: John Wiley & Sons, 2004.

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 on Acoustics, Speech and Signal Processing 36, no. 2 (February 1988): 285–286.

Dunn, O., and V. Clark. Applied Statistics: Analysis of Variance and Regression. 3d ed. New York: John Wiley & Sons, 2004.

Ecker, Joseph G., and Michael Kupferschmid. Introduction to Operations Research. New York: Krieger Publishing, 2004.

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, Walter, and Jiri Hrebicek. Solving Problems in Scientific Computing using Maple and MATLAB. 4th ed. Berlin: Springer, 2008.

Golub, G. H., and C. F. Van Loan. Matrix Computations. 3d ed. Baltimore: The John Hopkins University Press, 1996.

Harris, Fredric J. “On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform.” Proceedings of the IEEE 66, no. 1 (1978): 183–204.

Lanczos, C. A. “Precision Approximation of the Gamma Function.” Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis 1 (1964): 86–96.

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., J. E. Freund, and R. A. Johnson. Probability and Statistics for Engineers. 5th ed. Englewood Cliffs, N.J.: Prentice Hall, 1994.

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. 3d ed. Homewood, Ill.: Richard D. Irwin, 1996.

Neuvo, Y., C. Y. Dong, and S. K. Mitra. “Interpolated Finite Impulse Response Filters” IEEE Transactions on ASSP ASSP-32, no. 6 (June, 1984): 983–996.

O’Neill, M. A. “Faster Than Fast Fourier.” BYTE 4, (April 1988): 293–300.

Oppenheim, A. V., R. W. Schafer, and John R. Buck. Discrete-Time Signal Processing. 2d ed. Englewood Cliffs, N.J.: Prentice Hall, 1999.

Oppenheim, Alan V., and Alan S. Willsky. Signals and Systems. 2d ed. New York: Prentice Hall, 1996.

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. et al. Numerical Recipes in C++: The Art of Scientific Computing. 2d ed. Cambridge: Cambridge University Press, 2002.

Qian, Shie. Introduction to Time Frequency and Wavelet Transforms. New York: Prentice Hall, 2001.

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

Rabiner, L. R., and B. Gold. Theory and Application of Digital Signal Processing. Englewood Cliffs, N.J.: Prentice Hall, 1975.

Rockey, K. C., H. R. Evans, D. W. Griffiths, and D. A. Nethercot. The Finite Element Method: A Basic Method. Oxford: Blackwell Science, 1991.

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

Sorensen, H. V. et al. “On Computing the Split-Radix FFT.” IEEE Transactions on ASSP ASSP-34, no. 1 (February 1986): 152–156.

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

Spiegel, M., John J. Schiller, and R. Alu Srinivasan. Schaum's Outline of Probability and Statistics. 2d ed. New York: McGraw-Hill, 2000.

Stoer, J., R. Bulirsch, and J. Stoer . Introduction to Numerical Analysis. 3d ed. New York: Springer, 2002.

Vaidyanathan, P. P. Multirate Systems and Filter Banks. Englewood Cliffs, N.J.: Prentice Hall, 1993.

Wichman, B., and D. Hill. “Building a Random-Number Generator: A Pascal Routine for Very-Long-Cycle Random-Number Sequences.” BYTE 12, (March 1987): 127–128.

Wilkinson, J. H., and C. Reinsch. Linear Algebra, Vol. 2 of Handbook for Automatic Computation. New York: Springer, 1986.

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. 3d ed. San Diego: Academic Press, 1998.