DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

A Signal Processing Perspective 209
6. 4 Confirm the results of Example 6. 2 by executing the MATLAB m-file
EXAMP6_2. m and reviewing the contents of the file. Compare your graphical
results with that shown in Figures 6. 2 and 6. 3.
6. 5 Compute by hand, to five significant places, the numerical value of the
complete elliptic integral for equals 0, 0. 8, 0. 999, and 1.
6. 6 Compute by hand the numerical value of the Jacobian elliptic sine and cosine
functions when x = 1. 8541 and Note that
6. 7 Compute by hand numerical values for the inverse Jacobian elliptic sine and
cosine for and and 1.
6. 8 Determine numerical values for the imaginary period and the real period of
Jacobian elliptic functions if
6. 9 Confirm the results of Example 6. 3, given that That is, given
that N = 4, (actually, 10 log(2) dB), and
show that the complete elliptic integral values are as shown, and
therefore that is as shown, and then use those results to plot (6. 1) and
compare your graphical results to that shown in Figure 6. 9. Use the
MATLAB function ELLIPKE to evaluate the complete elliptic integrals, and
use ELLIPSN and ELLIPINT to evaluate the elliptic sine function and the
inverse elliptic sine.
6. 10 Confirm the results of Example 6. 4. That is, given that N = 5,
and determine, using (6. 25), (6. 27), (6. 30), (6. 33)
and (6. 34), the critical frequencies and
Use the following MATLAB functions on the accompanying disk:
ELLIPWS, ELLIPPV, ELLIPWC, ELLIPWZ, and ELLIPMN,
6. 11 Confirm the results of Example 6. 5. That is, given that N = 8,
and determine, using (6. 25), (6. 27), (6. 30), (6 33)
and (6. 34), the critical frequencies and
Use the following MATLAB functions on the accompanying disk:
ELLIPWS, ELLIPPV, ELLIPWC, ELLIPWZ, and ELLIPMN.
6. 12 Similar to Examples 6. 4 and 6. 5, and Problems 6. 6 and 6. 7, given that
N = 7, and determine the
critical frequencies frequencies and
Section 6. 12 Chapter 6 Problems