query regarding n in the equation

I have implemented this equation in matlab

 In equation

h[n] = (2/L) cos ( 2 π fb n / fs ), 0≤ n < L

where L is filter length, fb center frequency of the filter (frequency to be filtered), n is number of filter points, and fs is sampling frequency on which filter is implemented.

What we mean by Filter Points (n). Can u kindly explain What is difference between L and n

And i hope that Filter length means order of Filter. Am i right??

Answer 1

[Wayne King]

L here is the length of the impulse response. n is the term in the sequence. The order of the filter is the length-1. That is because the first term in the z-transform is z^{0} for a causal filter. That means for length L, the highest term is z^{-(L-1)}. So the filter is order L-1.

Answer 2

[moonman]

King i am really grateful to u for ur precise and to the point answers