Fast Algorithms for 1D Discrete Hartley Transform

This chapter is devoted to new fast algorithms for computation of the four types of one-dimensional (1D) discrete Hartley transforms (DHTs).

[1]  Zhongde Wang.  Harmonic analysis with a real frequency function. III. Data sequence , 1981 .

[2]  Guoan Bi,et al.  Fast generalized DFT and DHT algorithms , 1998, Signal Process..

[3]  Guoan Bi.  New split-radix algorithm for the discrete Hartley transform , 1997, IEEE Trans. Signal Process..

[4]  Douglas L. Jones,et al.  On computing the discrete Hartley transform , 1985, IEEE Trans. Acoust. Speech Signal Process..

[5]  Martin Vetterli,et al.  Split-radix algorithms for length-pm DFT's , 1989, IEEE Trans. Acoust. Speech Signal Process..

[6]  G.E.J. Bold.  A comparison of the time involved in computing fast Hartley and fast Fourier transforms , 1985, Proceedings of the IEEE.

[7]  Henrique S. Malvar,et al.  Signal processing with lapped transforms , 1992 .

[8]  C. Sidney Burrus,et al.  Prime factor FFT algorithms for real-valued series , 1984, ICASSP.

[9]  Guoan Bi.  On computation of the discrete W transform , 1999, IEEE Trans. Signal Process..

[10]  P. R. Uniyal,et al.  Transforming real-valued sequences: fast Fourier versus fast Hartley transform algorithms , 1994, IEEE Trans. Signal Process..

[11]  Henrique S. Malvar.  Fast computation of the discrete cosine transform and the discrete Hartley transform , 1987, IEEE Trans. Acoust. Speech Signal Process..

[12]  I. J. Good,et al.  The Relationship Between Two Fast Fourier Transforms , 1971, IEEE Transactions on Computers.

[13]  Jie-Cherng Liu,et al.  Short-time Hartley transform , 1993 .

[14]  Miodrag Popovic,et al.  A new look at the comparison of the fast Hartley and Fourier transforms , 1994, IEEE Trans. Signal Process..

[15]  H. Nussbaumer.  Fast Fourier transform and convolution algorithms , 1981 .

[16]  Guoan Bi,et al.  Prime-factor algorithms for generalised discrete Hartley transform , 1999 .

[17]  Wan-Chi Siu,et al.  NEW FAST DISCRETE HARTLEY TRANSFORM ALGORITHM , 1991 .

[18]  Patrick J. Loughlin,et al.  Weighted least-squares implementation of Cohen-Posch time-frequency distributions with specified conditional and joint moment constraints , 1999, IEEE Trans. Signal Process..

[19]  Wan-Chi Siu,et al.  On prime factor mapping for the discrete Hartley transform , 1992, IEEE Trans. Signal Process..

[20]  Jiangtao Xi,et al.  Shift properties of discrete W transforms and real time discrete W analyzers , 1997 .

[21]  Neng-Chung Hu,et al.  Generalized discrete Hartley transforms , 1992, IEEE Trans. Signal Process..

[22]  Hsieh S. Hou,et al.  The Fast Hartley Transform Algorithm , 1987, IEEE Transactions on Computers.

[23]  Zhongde Wang.  Comments on "Generalized discrete Hartley transform" , 1995, IEEE Trans. Signal Process..

[24]  Dequan Liu,et al.  Interpolation using Hartley transform , 1992 .

[25]  Martin Vetterli,et al.  Improved Fourier and Hartley transform algorithms: Application to cyclic convolution of real data , 1987, IEEE Trans. Acoust. Speech Signal Process..

[26]  K.M.M. Prabhu,et al.  New radix-3 FHT algorithm , 1990 .

[27]  Wan-Chi Siu,et al.  Fast radix-3/9 discrete Hartley transform , 1993, IEEE Trans. Signal Process..

[28]  Zhong-De Wang.  Harmonic analysis with a real frequency function—I. aperiodic case , 1981 .

[29]  Soo-Chang Pei,et al.  In-place in-order mixed radix fast Hartley transforms , 1996, Signal Process..

[30]  Zhongde Wang,et al.  A prime factor fast W transform algorithm , 1992, IEEE Trans. Signal Process..

[31]  Rick P. Millane,et al.  Analytic properties of the Hartley transform and their implications , 1994 .

[32]  David M. W. Evans.  An improved digit-reversal permutation algorithm for the fast Fourier and Hartley transforms , 1987, IEEE Trans. Acoust. Speech Signal Process..

[33]  Guoan Bi,et al.  Fast odd-factor algorithm for discrete W transform , 1998 .

[34]  P. Angelidis,et al.  Single-channel demodulator and Hartley transform in MRI. , 1991, IEEE transactions on medical imaging.

[35]  K. L. Ho,et al.  Polynomial transform fast Hartley transform , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[36]  Soo-Chang Pei,et al.  Split-radix fast Hartley transform , 1986 .

[37]  Ganapati Panda,et al.  New high-speed prime-factor algorithm for discrete Hartley transform , 1993 .

[38]  Edmond A. Jonckheere,et al.  Split-radix fast Hartley transform in one and two dimensions , 1991, IEEE Trans. Signal Process..

[39]  Z.-J. Zhao.  In-place radix-3 fast Hartley transform algorithm , 1992 .