Building in MATLAB


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With MATLAB I am building an interactive teaching tool for FIR and IIR filter design. The GUI will have six "islands" of DSP: structure,
pole/zero pattern,difference equation, z-domain transfer function,impulse response sequence and fourier transfer function. The user will be able to "jump" from "island" to "island" and see all the characteristics of the filter.
my big problem is that all though i understand the content of each part i do not know how to start and also how to link each island .
i would appreciate if u could suggest something.

many thanks for your reply.
I noticed that Mathlab users have weak numerical math formation, if at all in many cases. I have that software, but never use except for showing friends.