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RADIX-2 FFT BUTTERFLY STRUCTURES

REFERENCES

[1] Cooley, J. and Tukey, J. "An Algorithm for the Machine Calculation of Complex Fourier Series," Math. Comput., Vol. 19, No. 90, Apr. 1965, pp. 297–301.

[2] Cooley, J., Lewis, P., and Welch, P. "Historical Notes on the Fast Fourier Transform," IEEE Trans. on Audio and Electroacoustics, Vol. AU-15, No. 2, June 1967.

[3] Harris, F. J. "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform," Proceedings of the IEEE, Vol. 66, No. 1, p. 54, January 1978.

[4] Oppenheim, A. V., and Schafer, R. W. Discrete-Time Signal Processing, Prentice-Hall, Englewood Cliffs, New Jersey, 1989, p. 608.

[5] Rabiner, L. R. and Gold, B. Theory and Application of Digital Signal Processing, Prentice-Hall, Englewood Cliffs, New Jersey, 1975, p. 367.

[6] Stearns, S. Digital Signal Analysis, Hayden Book Co., Rochelle Park, New Jersey, 1975, p. 265.

[7] Programs for Digital Signal Processing, Chapter 1, IEEE Press, New York, 1979.

[8] Sorenson, H. V., Jones, D. L., Heideman, M. T., and Burrus, C. S. "Real-Valued Fast Fourier Transform Algorithms," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-35, No. 6, June 1987.

[9] Bracewell, R. The Fourier Transform and Its Applications, 2nd Edition, Revised, McGraw-Hill, New York, 1986, p. 405.

[10] Cobb, F. "Use Fast Fourier Transform Programs to Simplify, Enhance Filter Analysis," EDN, 8 March 1984.

[11] Carlin, F. "Ada and Generic FFT Generate Routines Tailored to Your Needs," EDN, 23 April 1992.

[12] Evans, D. "An Improved Digit-Reversal Permutation Algorithm for the Fast Fourier and Hartley Transforms," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-35, No. 8, August 1987.

[13] Burrus, C. S. "Unscrambling for Fast DFT Algorithms," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. 36, No. 7, July 1988.

[14] Rodriguez, J. J. "An Improved FFT Digit-Reversal Algorithm," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-37, No. 8, August 1989.

[15] Land, A. "Bit Reverser Scrambles Data for FFT," EDN, March 2, 1995.

[16] JG-AE Subcommittee on Measurement Concepts, "What Is the Fast Fourier Transform?," IEEE Trans. on Audio and Electroacoustics, Vol. AU-15, No. 2, June 1967.

[17] Cohen, R., and Perlman, R. "500 kHz Single-Board FFT System Incorporates DSP-Optimized Chips," EDN, 31 October 1984.

[18] Eldon, J., and Winter, G. E. "Floating-point Chips Carve Out FFT Systems," Electronic Design, 4 August 1983.

[19] Lamb, K. "CMOS Building Blocks Shrink and Speed Up FFT Systems," Electronic Design, 6 August 1987.

[20] Markel, J. D. "FFT Pruning," IEEE Trans. on Audio and Electroacoustics, Vol. AU-19, No. 4, December 1971.

[21] Wu, H. R., and Paoloni, F. J. "The Structure of Vector Radix Fast Fourier Transforms," IEEE Trans. on Acoust. Speech, and Signal Proc., Vol. ASSP-37, No. 8, August 1989.

[22] Ali, Z. M. "High Speed FFT Processor," IEEE Trans. on Communications, Vol. COM-26, No. 5, May 1978.

[23] Bergland, G. "Fast Fourier Transform Hardware Implementations—An Overview," IEEE Trans. on Audio and Electroacoustics, Vol. AU-17, June 1969.

 
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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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