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Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-1 (p. 423) Adaptive filter block diagram.

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Presentation on theme: "Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-1 (p. 423) Adaptive filter block diagram."— Presentation transcript:

1 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-1 (p. 423) Adaptive filter block diagram.

2 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-2 (p. 423) (a) System identification scheme; (b) A typical squared error plot.

3 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-3 (p. 424) (a) Sinusoidal tracking scheme; (b) Notch filter frequency response.

4 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-4 (p. 425) Adaptive noise cancellation.

5 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-5 (p. 438) The Wiener filtering problem.

6 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-6 (p. 440) Quadratic cost function.

7 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-7 (p. 445) (a) Loci of (  1,  2 ) for  = 0.1 and eig. spread = 2; (b) loci of (  1,  2 ) for  = 0.8) and eig. spread = 2.

8 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-8 (p. 446) (a) Loci of (  1,  2 ) for  = 0.3 and eig. spread = 2; (b) Loci of (  1,  2 ) for  = 0.3) and eig. spread = 10.

9 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-9 (p. 447) Learning curves of steepest descent with  = 0.1.

10 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-10 (p. 448) Learning curves of steepest descent with eig. spread = 2, and step sizes of 0.1, 0.3, and 0.8.

11 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-11 (p. 456) A basic noise cancellation scheme.

12 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-12 (p. 457) Adaptive Line Enhancer (ALE) or Narrowband Interference Canceler (NIC).

13 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-13a (p. 459) Continued.

14 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-13b (p. 459) Continued.

15 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-13 (p. 460) System identification example: (a) MSE and instantaneous squared error; (b) convergence of filter weights; (c) solid line for  = 0.1; dashed line for  = 0.01.

16 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-14 (p. 461) ALE example: (a) signal plus noise; (b) output of adaptive filter; (c) magnitude response of filter after convergence.

17 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-14a/b (p. 461) Detail.

18 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-14c (p. 461) Detail.

19 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-15 (p. 464) Frequency Domain Adaptive Filter (FDAF).

20 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-16 (p. 467) Block adaptive filter.

21 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-17 (p. 473) System identification scheme using the FLMS algorithm.

22 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-18 (p. 474) Frequency response of the plant used in the system identification example.

23 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-19 (p. 474) System identification using the FLMS method.

24 Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 7-20 (p. 475) System identification using the LMS algorithm.


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