By W. B. Jones
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Extra info for Analytic theory of continued fractions Proc. Loen
As the order D increases, we gain in resolution but pay a price in cross-term interference. It is often possible to balance the resolution against cross-term interference by adjusting the order D . The optimal value for D was reported to be around 2 to 4. 11 shows the effect of the order D on the frequency-hopping signal discussed in earlier examples. 11(a)] the signal has the least time-frequency resolution, but is devoid of cross-term effects. 11(b, c) show respectively the TFDS for D = 3 and D = 6.
Time-Frequency Analysis, Englewood Cliffs, NJ: Prentice Hall, 1995. , and D. Chen, Introduction to Joint Time-Frequency Analysis—Methods and Applications, Englewood Cliffs, NJ: Prentice Hall, 1996. , and E. K. Walton, ‘‘Time-Frequency-Distribution Analysis of Scattering from Waveguide Cavities,’’ IEEE Trans. , Vol. AP-41, pp. 677–680, May 1993. , A. Grossman, and J. Morlet, ‘‘Cycle-Octave and Related Transforms in Seismic Signal Analysis,’’ Geoexploration, Vol. 23, 1984, pp. 85–102. Heil, C. , and D.
The discussion commences with the STFT and moves on to two other linear transforms, the continuous wavelet transform (CWT) and the adaptive time-frequency representation. 2, we discuss quadratic time-frequency transforms. We begin with the WignerVille distribution (WVD) and discuss Cohen’s class and the time-frequency distribution series (TFDS). The main purpose of this chapter is to lay the groundwork for subsequent chapters on radar applications of time-frequency transforms. Emphasis is therefore placed on the application perspective.
Analytic theory of continued fractions Proc. Loen by W. B. Jones