written 7.2 years ago by
teamques10
★ 70k
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• modified 7.1 years ago |
Given x(n)={2,3,4,5}and h(n)={5,2,3,4}
i) By time domain method
y(n)=
$\begin{matrix} [2&5&4&3] [5]\\ |3&2&5&4||2|\\ |4&3&2&5||3|\\ [5&4&3&2][4] \end{matrix}$
$\begin{matrix} [10+&10+&12+&12]\\ |15+&4+&15+&16|\\ |20+&6+&6+&20|\\ [25+&8+&9+&8] \end{matrix}$
$=\begin{matrix} [44]\\ |50|\\ |52|\\ [50] \end{matrix}$
y(n)={44,50,52,50}
ii) By frequency domain method
Calculate DFT of x(n)
X(k) =
$\begin{matrix} [1&1&1&1] [2]\\ |1&-j&-1&+j||3|\\ |1&-1&1&-1||4|\\ [1&+j&-1&-j][5] \end{matrix}$
=
$\begin{matrix} 14\\ …
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