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INTERPRETING THE DFT

REFERENCES

[1] Bracewell, R. "The Fourier Transform," Scientific American, June 1989.

[2] Struik, D. A Concise History of Mathematics, Dover Publications Inc., New York, 1967, p. 142.

[3] Williams, C. S. Designing Digital Filters. Section 8.6, Prentice-Hall, Englewood Cliffs, New Jersey, 1986, p. 122.

[4] Press, W., et al. Numerical Recipes—The Art of Scientific Computing. Cambridge University Press, 1989, p. 426.

[5] Geckinli, N. C., and Yavuz, D. "Some Novel Windows and a Concise Tutorial Comparison of Window Families," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-26, No. 6, December 1978. (By the way, on page 505 of this paper, the phrase "such that W(f) 0 f" indicates that W(f) is never negative. The symbol means "for all.")

[6] O'Donnell, J. "Looking Through the Right Window Improves Spectral Analysis," EDN, November 1984.

[7] Kaiser, J. F. "Digital Filters," in System Analysis by Digital Computer. Ed. by F. F. Kuo and J. F. Kaiser, John Wiley and Sons, New York, 1966, pp. 218–277.

[8] Rabiner, L. R., and Gold, B. The Theory and Application of Digital Signal Processing. Prentice-Hall, Englewood Cliffs, New Jersey, 1975, p. 88.

[9] Schoenwald, J. "The Surface Acoustic Wave Filter: Window Functions," RF Design, March 1986.

[10] Harris, F. "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform," Proceedings of the IEEE, Vol. 66, No. 1, January 1978.

[11] Nuttall, A. H. "Some Windows with Very Good Sidelobe Behavior," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-29, No. 1, February 1981.

[12] Yanagimoto, Y. "Receiver Design for a Combined RF Network and Spectrum Analyzer," Hewlett-Packard Journal, October, 1993.

[13] Gullemin, E. A. The Mathematics of Circuit Analysis. John Wiley and Sons, New York, 1949, p. 511.

[14] Lanczos, C. Discourse on Fourier Series, Chapter 1, Hafner Publishing Co., New York, 1966, p. 7–47.

[15] Freeny, S. "TDM/FDM Translation As an Application of Digital Signal Processing," IEEE Communications Magazine, January 1980.

[16] Oppenheim, A., et al., Discrete-Time Signal Processing, 2nd ed. Prentice-Hall, Upper Saddle River, New Jersey, 1999, pp. 48–51.

 
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Chapter One. Discrete Sequences and Systems

Chapter Two. Periodic Sampling

Chapter Three. The Discrete Fourier Transform

Chapter Four. The Fast Fourier Transform

Chapter Five. Finite Impulse Response Filters

Chapter Six. Infinite Impulse Response Filters

Chapter Seven. Specialized Lowpass FIR Filters

Chapter Eight. Quadrature Signals

Chapter Nine. The Discrete Hilbert Transform

Chapter Ten. Sample Rate Conversion

Chapter Eleven. Signal Averaging

Chapter Twelve. Digital Data Formats and Their Effects

Chapter Thirteen. Digital Signal Processing Tricks

Appendix A. The Arithmetic of Complex Numbers

Appendix B. Closed Form of a Geometric Series

Appendix C. Time Reversal and the DFT

Appendix D. Mean, Variance, and Standard Deviation

Appendix E. Decibels (dB and dBm)

Appendix F. Digital Filter Terminology

Appendix G. Frequency Sampling Filter Derivations

Appendix H. Frequency Sampling Filter Design Tables

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Understanding Digital Signal Processing
Understanding Digital Signal Processing (2nd Edition)
ISBN: 0131089897
EAN: 2147483647
Year: 2004
Pages: 183
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