Hi all,
I'm attempting to derive an expression for an infinite sum of a series of 2nd order polynomials (see attachment). The independent variable "s" is scaled for each successive term of the sum. The problem is a filter bank with an infinite number of individual overlapping filters with each scaled in frequency.
I know Mathcad can crunch the expression to give me a numerical answer for a value of s using symbolic evaluation "->" but it won't give me a numerical evaluation using "=". Also, it doesn't seem to be able to provide a closed form of the infinite sum (which is what I would like if it were possible).
You will see that I have attempted to break the expression down using a partial fraction expansion so the infinite sum boils down to separate sums of 1st order polynomials but this hasn't really helped.
I lack the know how to figure out if this problem is actually solvable.
Thanks in advance!
Dave