Presentation is loading. Please wait.

Presentation is loading. Please wait.

Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.1 (p. 738) Saggital-plane.

Similar presentations


Presentation on theme: "Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.1 (p. 738) Saggital-plane."— Presentation transcript:

1 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.1 (p. 738) Saggital-plane x ray of the human vocal apparatus. (Reproduced from J. L. Flanagan et al., “Speech coding,” IEEE Transactions in Communications, vol. COM-27, pp. 710- 737, 1979; courtesy of the IEEE.)

2 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.2 (p. 740) Result of multiplying a signal x(t) by a window function w(t) delayed in time by .

3 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.3 (P. 741) (a) Gaussian window. (b) Hanning window.

4 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.4 (p. 742) Real and imaginary parts of the complex-valued basis function  ,  (t).

5 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.5 (p. 742) (a) Uniform tiling of the time-frequency plane by the short-time Fourier transform. (b) Real parts of associated basis functions.

6 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.6 (p. 743) Spectrograms of speech signals. (a) Noisy version of the speech signal produced by a female speaker saying the phrase “This was easy for us.” (b) Filtered version of the speech signal.

7 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.7 (p. 745) (a) Haar wavelet. (b) Daubechies wavelet.

8 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.8 (p. 746) (a) Haar mother wavelet  (t) (b) Haar wavelet dilated by 2. (c) Haar wavelet dilated by 2 and translated by 1.

9 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.9 (p. 748) (a) Partitioning of the time-frequency plane by the wavelet transform. (b) Real parts of associated basis functions.

10 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.10a (p. 749) (a) Original magnetic resonance image. (b) Compressed image, using the Daubechies wavelet of Fig. 10.6(b). (c) Difference image between the original and compressed images. This image has been brightened up to make the differences more visible. (d) Distribution of the wavelet coefficients.

11 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.10b (p. 749)

12 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.11 (p. 751) Phase portrait of a two-dimensional nonlinear dynamical system described by the pair of state equations for the control parameter c = –0.2. (Reproduced from T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems, Springer-Verlag, 1989, courtesy of Springer-Verlag.)

13 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.12 (p. 752) Feedback control system containing a nonlinear element in its feedback loop.

14 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.13 (p. 752) Limit cycle in a two-dimensional phase space.

15 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.14a (p. 754) (a) Stable node. (b) Stable focus. (c) Unstable node. (d) Unstable focus.

16 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.14b (p. 755) Continued (e) Saddle point. (f) Center.

17 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.15 (p. 757) Two-dimensional illustrations of the Lyapunov stability theorem, based on Lyapunov surfaces with c 1 < c 2 < c 3. (a) Trajectory of the state x(t), assuming that Eq. (10.33) is satisfied. (b) Trajectory of the state x(t), assuming that Eq. (10.34) is satisfied.

18 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.16 (p. 758) Adaptive equalizer built around an FIR digital filter.

19 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.17 (p. 759) The two modes of operating an adaptive equalizer. When the switch is in position a, the equalizer operates in its training mode. When the switch is moved to position b, the equalizer operates in its decision-directed mode.

20 Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.18 (p. 760) Block diagram of an FIR model whose coefficients are adjusted by an adaptive filtering algorithm for the identification of an unknown dynamic plant.


Download ppt "Signals and Systems, 2/E by Simon Haykin and Barry Van Veen Copyright © 2003 John Wiley & Sons. Inc. All rights reserved. Figure 10.1 (p. 738) Saggital-plane."

Similar presentations


Ads by Google