How to Design Higher-Order Discrete-Time Filters?



I've gotten a lot of mileage out of this:

http://en.wikipedia.org/wiki/Low-pass_filter#Discrete-time_realization

and this:

http://en.wikipedia.org/wiki/High-pass_filter#Discrete-time_realization

I've implemented both of these filters in fixed-point integer forms
for the STM8A and one for the ARM. They work as advertised.

They are parameterized so that one can choose "alpha" ... this is the
way most folks would do it, I'm sure.

How would I approach "notch" filters or higher-order filters if I were
to implement them for microcontrollers?

There is more than one degree of freedom for a second-order filter ...
how should I think about that?

Any books out there that I should read?

Decades ago I had a signals and systems class where all the transforms
were covered, but it has been a while ...

DTA
.



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