#### bmsec

##### Newbie level 6

**Plz help, regarding the FIR Coefft optimization problem**

The optimum filter coefficients have to be selected iteratively from a coefficient search space.

The maximum allowable deviation of this realized filter from the desired filter is defined as the cost function which is fixed in advance.

The coefficients selectable from the search space will have to lie within a Maximum and a Minimum value, so that above deviation constraint is satisfied.

There is a constraint equation for this purpose.

Summary of the question :

1. The maximum deviation response possible is fixed.(In general notations, this has to be minimized. Here, it is fixed.)

2. The coefficients have to lie in a range of max and min values, to achieve the above constraint.

3. The maximum and minimum allowable values for each coefficient is to be calculated by Mixed Integer Linear Programming.

How to find the coefficient integer value range (Max and Min values) of each coefficient (h1,h2,h3,etc.) ,when the cost function is fixed?

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