I'm wondering that does only filter coefficients can represent it's own filter characteristic?
I found filter design tool as FILTERDESIGNER of matlab. that can make filter coefficients of low pass filter or band pass filter or high pass filter etc as the below.
But I want to know what if there is only information of coefficients without information which is Response Type such as low or high and band filter.
Can we know that coefficients was made originally for low pass filter with h[k]*x[n-k]
equation?