486 Practical MATLAB® Applications for Engineers
F2 _ z =
z/a/(z/a-1)>> pretty(F2 _ z)z
----------
a (z/a - 1)>> f3 _ n =1^n*cos(a*n); % part (c)
>> F3 _ z = ztrans(f3 _ n)F3 _ z =
(z-cos(a))*z/(z^2-2*z*cos(a)+1)>> pretty(F3 _ z)(z - cos(a)) z
-------------------
2
z - 2 z cos(a) + 1>> f4 _ n =1^n*sin(a*n); % part(d)
>> F4 _ z = ztrans(f4 _ n)F4 _ z =
z*sin(a)/(z^2-2*z*cos(a)+1)>> pretty(F4 _ z)z sin(a)
-------------------
2
z - 2 z cos(a) + 1>> f5 _ n = b^n*sin(a*n); % part(e)
>> F5 _ z =ztrans(f5 _ n)F5 _ z =
z/b*sin(a)/(z^2/b^2-2*z/b*cos(a)+1)>> pretty(F5 _ z)z sin(a)
----------------------------
/ 2 \
│ z z cos(a) │
b │---- - 2 -------- + 1 │
│ 2 b │
\ b /R.5.78 Write the script fi le sym_z_plots that returns the plots of F1_z, F2_z, F3z, and F4 z
versus z, defi ned in R.5.77 for a = 0.5