Question

Determine the impulse and frequency responses of the averaging filter $$ h(n)=\frac{1}{L+1}, n=0,1, \ldots, L, \text { for } L=9 . $$

   Determine the impulse and frequency responses of the averaging filter
$$
h(n)=\frac{1}{L+1}, n=0,1, \ldots, L, \text { for } L=9 .
$$

Audio Signal Processing and Coding

Audio Signal Processing and Coding

Andreas Spanias, Ted… 1st Edition

Chapter 2, Problem 6

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Step 1

The given averaging filter is defined as \( h(n) = \frac{1}{L+1} \) for \( n = 0, 1, \ldots, L \) and \( L = 9 \). Thus, the impulse response is: \[ h(n) = \frac{1}{10}, \quad n = 0, 1, \ldots, 9 \] \[ h(n) = 0, \quad \text{otherwise} \] Show more…

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Determine the impulse and frequency responses of the averaging filter $$ h(n)=\frac{1}{L+1}, n=0,1, \ldots, L, \text { for } L=9 . $$

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