Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-1 (p. 321) Decimation by a factor of M.

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Presentation transcript:

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-1 (p. 321) Decimation by a factor of M.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-2 (p. 321) Interpolation by a factor of M.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-3 (p. 322) First Noble Identity.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-4 (p. 322) Second Noble Identity,

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-5 (p. 323) Polyphase structure of a FIR filter with two modifiers.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-6 (p. 324) Polyphase structure of a FIR filter with three subfilters.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-7 (p. 325) Polyphase structure of a length-M FIR filter into I parallel subfilters, where K = M/I is an integer.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-8 (p. 325) Schemes for sampling rate alteration by a rational factor of I/D.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-9 (p. 326) Direct Form structure of a decimator.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-10 (p. 327) Decimator realization using a polyphase structure.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-11 (p. 328) (a) Efficient decimator using a polyphase filter. (b) Noble Identity.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-12 (p. 329) Efficient realization of a decimator with linear phase filter in a polyphase structure; D = 3, M = 9.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-13 (p. 329) Interpolation scheme.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-14 (p. 329) Upsampler followed by a standard polyphase filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-15 (p. 330) Upsampler followed by a transposed polyphase filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-16 (p. 330) Efficient structure for interpolation using a transposed polyphase filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-17 (p. 331) Interpolation using a polyphase filter and a commutator.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-18 (p. 332) Interpolator realization using a PTV filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-19 (p. 334) Narrow band filter design using an interpolated FIR filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-20 (p. 335) IFIR filter with a factor-of-M interpolation.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-21 (p. 325) (a) Standard decimation. (b) IFIR filter with stretch factor M 1 followed by (  M 2 ). (c) Two-stage implementation of decimator.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-22 (p. 336) IFIT-based decimator design for a factor-of-50 decimator example.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-23 (p. 336) (a) Standard interpolator with M = M 1 M 2. (b) Upsampler followed by IFIR filter. (c) Two-stage design of interpolator based on IFIR approach.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-24 (p. 337) Analysis filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-25 (p. 337) Decomposition of the spectrum by an analysis filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-26 (p. 338) Synthesis filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-27 (p. 338) A uniform subband coding and decoding scheme using filter banks.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-28 (p. 339) (a) A three-level multiresolution subband coder. (b) Decomposition of the frequency spectrum.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-29 (p. 339) A three-level multiresolution subband decoder.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-30 (p. 341) A uniform DFT filter bank; inefficient realization.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-31 (p. 343) A uniform DFT filter bank implemented using a polyphase structure and IDFT.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-32 (p. 343) Efficient realization of a uniform DFT filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-33 (p. 344) 2-channel QMF bank with channel degradations.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-34 (p. 345) 2-channel QMF bank with no channel distortion.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-35 (p. 345) Magnitude responses for the analysis filters; (a) nonoverlapping and (b) overlapping.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-36 (p. 349) Polyphase QMF bank; (a) analysis bank and (b) synthesis bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-37 (p. 350) Complete QMF bank in polyphase form; efficient realization.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-38a (p. 351) (a) Impulse response of the 48D Johnston filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-38b (p.352) (b) Magnitude responses of filters H 0 (z).

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-38c (p. 352) (c) 10 log 10 (|H 0 (  )| 2 + |H 1 (  )| 2 ) for the design example using the Croisier-Esteban- Galand filter bank and the Johnston 48D filter.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-39 (p. 355) Relationship among filters in a Smith-Barnwell QMF bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-40 (p. 356) Magnitude response of half-band filter showing symmetry about  /2.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-41 (p. 357) Zero locations of (z) and H 0 (z) for the design example of a Smith-Barnwell filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure 5-42 (p. 358) Magnitude responses of all filters for the design example of a Smith-Barnwell filter bank.

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-1 (p. 359) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-2 (p. 359) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-3 (p. 359) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-4 (p. 359) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-5 (p. 360) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-6 (p. 360) a

Tamal Bose, Digital Signal and Image Processing © 2004 by John Wiley & Sons, Inc. All rights reserved. Figure P5-7 (p. 361) a