Use the signal processing functions for analyzing, interpreting, and manipulating analog and digital signals.
The following rules apply to signal processing functions:
• Frequency is generally measured in Hertz-seconds, that is, as a fraction of the sampling frequency. Frequency arguments are thus typically between 0 and 0.5.
• Many signal processing functions are based on the discrete Fourier transform and make use of the dft function. For maximum flexibility, the length of input arrays is not restricted to powers of 2. When a long input vector has a length with only one or two factors, the dft routine can be slow. In the extreme case where the length is a large prime, the dft function can only add up the exponential sums that define the transform. In this case a small change in the length can make a big difference in computation time.
Signal Processing Bibliography
The signal processing functions implement methods and algorithms described in the following books:
• Bruce L. Bowerman and Richard T. O'Connell, Time Series Forecasting, Duxbury Press (1987).
• Ronald N. Bracewell, The Hartley Transform, Oxford University Press (1986).
• Leon Cohen, Time-Frequency Analysis, Prentice-Hall (1995).
• Rafael C. Gonzalez and Paul Wintz, Digital Image Processing, Addison-Wesley (1977).
• C. W. J. Granger and Paul Newbold, Forecasting Economic Time Series, Academic Press, Inc. (1986).
• Hwei P. Hsu, Schaum's Outline of Theory and Programming of Signals and Systems, McGraw-Hill, Inc.(1995).
• S. Lawrence Marple, Jr., Digital Spectral Analysis with Applications, Prentice-Hall (1987).
• Sophocles J. Orfanidis, Optimum Signal Processing, 2d ed, Macmillan (1988).
• T. W. Parks and C. S. Burrus, Digital Filter Design, Wiley-Interscience (1987).
• Alan V. Oppenheim and Ronald W. Schafer, Discrete-Time Signal Processing, Prentice Hall (1989).
• Donald B. Percival and Andrew T. Walden, Spectral Analysis of Physical Applications, Cambridge University Press (1993).
• William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling, Numerical Recipes in C, Cambridge University Press (1988).
• Programs for Digital Signal Processing, IEEE Press (1979).
• Lawrence R. Rabiner and Bernard Gold, Theory and Application of Digital Signal Processing, Prentice-Hall, Inc. (1975).
• Mary Beth Ruskai et al., eds., Wavelets and Their Applications, Jones and Bartlett Publishers (1992).
• Samuel Stearns and Ruth A. David, Signal Processing Algorithms, Prentice-Hall, Inc. (1988).