Signals and Systems - Electrical Engineering

684 C H A P T E R 11: Introduction to the Design of Discrete Filters Examples of windows that are smoother than the rectangular ...

11.5 FIR Filter Design 685 FIGURE 11.22 (a) Hamming and (b) Kaiser causal windows and (c) their spectra. 0 102030 0 0.5 1 n w [n ...

686 C H A P T E R 11: Introduction to the Design of Discrete Filters The desired impulse response is thus hd[n]= 1 2 π ∫π −π Hd( ...

11.5 FIR Filter Design 687 FIGURE 11.23 Low-pass FIR filters using (a) rectangular and (b) Hamming windows. −0.1 051015 20 0 0.1 ...

688 C H A P T E R 11: Introduction to the Design of Discrete Filters FIGURE 11.24 High-pass FIR filter design using Kaiser windo ...

11.6 Realization of Discrete Filters 689 n = 0:N; if wind == 1 window = boxcar(N + 1); disp(‘ ***** RECTANGULAR WINDOW *****’) e ...

690 C H A P T E R 11: Introduction to the Design of Discrete Filters FIGURE 11.25 Block diagrams of different components used to ...

11.6 Realization of Discrete Filters 691 Direct Form I Thedirect form Iis the implementation of the above difference Equation (1 ...

692 C H A P T E R 11: Introduction to the Design of Discrete Filters Remarks n In general, given a direct form I realization one ...

11.6 Realization of Discrete Filters 693 By realizing the all-pole filter given in Equation (11.67), and using its outputw[n] in ...

694 C H A P T E R 11: Introduction to the Design of Discrete Filters If we replace the first equation into the second we obtain ...

11.6 Realization of Discrete Filters 695 because a 2 =b 2 − 0 and the lower delay because it is not needed once these constant m ...

696 C H A P T E R 11: Introduction to the Design of Discrete Filters z−^1 − + + 1 −0.4 0.2 x[n] v[n] y[n] z−^1 ++− ++ 3 0.5 3 w[ ...

11.6 Realization of Discrete Filters 697 x[n] w[n] z−^1 − + + z−^1 y[n] z−^1 + − + 1 1 1 −0.4 1 0.2 y 1 [n] v[n] FIGURE 11.30 Ca ...

698 C H A P T E R 11: Introduction to the Design of Discrete Filters FIGURE 11.31 (a) Cascade and (b) parallel realizations of I ...

11.6 Realization of Discrete Filters 699 FIGURE 11.32 Parallel realization forH(z)=( 3 +3.6z−^1 + 0.6z−^2 )/( 1 +0.1z−^1 −0.2z−^ ...

700 C H A P T E R 11: Introduction to the Design of Discrete Filters The cascade realization of an FIR filter is based on the re ...

Problems 701 11.7 What Have We Accomplished? Where Do We Go from Here?.................... In Chapter 6 and in this chapter you ...

702 C H A P T E R 11: Introduction to the Design of Discrete Filters 11.3. FIR and IIR filters: symmetry of impulse response and ...

Problems 703 (b) Increase the order of the filter toN= 14 and keep the other specifications the same. Design an analog band-pass ...