Figure 1.1 Shearing stresses in fluids

Figure 1.1 Shearing stresses in fluids

Figure 12.1 Even and odd parts of a real causal sequence. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.2 Interpretation of the Hilbert transform as a periodic convolution.

Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.3 Even and odd parts of a periodically causal, real, periodic sequence of period N = 8.

Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.4 Illustration of decomposition of a one-sided Fourier transform. (Solid curves are real parts and dashed curves are imaginary parts.)

Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.5 Impulse response of an ideal Hilbert transformer or 90-degree phase shifter. Discrete-Time Signal Processing, Third Edition

Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.6 Block diagram representation of the creation of a complex sequence whose Fourier transform is onesided. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.7 (a) Impulse response and (b) magnitude response of an FIR Hilbert transformer designed using the Kaiser window. (M = 18 and = 2.629.) Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.8 (a) Impulse response and (b) magnitude response of an FIR Hilbert transformer designed using the Kaiser window. (M = 17 and = 2.44.) Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.9 Block diagram representation of the allpass phase splitter method for the creation of a complex sequence whose Fourier transform is one-sided. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.10 Fourier transforms for representation of bandpass signals. (Solid curves are real parts and dashed curves are imaginary parts.) (Note that in parts (b) and (f) the functions jXi(ej) and jSi(ej) are plotted, where Xi(ej) and Si (ej) are the Fourier transforms of xi[n] and si[n], respectively.) Discrete-Time Signal Processing, Third Edition

Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.11 Block diagram representation of Eqs. (12.75a) and (12.76a) for obtaining a single-sideband signal. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.12 System for reduced-rate sampling of a real bandpass signal by decimation of the equivalent complex bandpass signal. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure 12.13 Example of reduced-rate sampling of a bandpass signal using the system of Figure 12.12. (a) Fourier transform of continuous-time bandpass signal. (b) Fourier transform of sampled signal. (c) Fourier transform of complex bandpass discrete-time signal derived from the signal of part (a). (d) Fourier transform of decimated complex bandpass of part (c). (Solid curves are real parts and dashed curves are imaginary parts.)

Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure P12.18 Discrete-Time Signal Processing, Third Edition

Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure P12.19 Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure P12.20 Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer

Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure P12.26 System for obtaining y[n] from yr[n]. Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc.

All rights reserved. Figure P12.28-1 Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved.

Figure P12.28-2 Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved.

Figure P12.34-1 Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved. Figure P12.34-2

Discrete-Time Signal Processing, Third Edition Alan V. Oppenheim Ronald W. Schafer Copyright 2010, 1999, 1989 by Pearson Education, Inc. All rights reserved.

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