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若长为N的有限长序列x（n)是矩形序列x（n)=RN（n)。

大学 2022-09-06 04:24:04 序列,矩形已帮助人

若长为N的有限长序列x(n)是矩形序列x(n)=R_N(n)。

热搜：sd序列是5端互补序列

答案解析

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$latex.action?latex=WCh6KT1cc3VtIF97bj0tXGluZnR5IH1ee1xpbmZ0eSB9Ul9OKG4pel57LW59PVxzdW0gX3tuPTB9%0D%0AXntOLTF9el57LW59PVxmcmFjezEtel57LU59fXsxLXpeey0xfX0%3D$
$latex.action?latex=PVxmcmFje3peTi0xfXt6XntOLTF9KHotMSl9PVxmcmFje1xwcm9kIF97az0wfV57Ti0xfSh6LVdf%0D%0Ae059Xnsta30pfXt6XntOLTF9KHotMSl9$
$latex.action?latex=PVxmcmFje1xwcm9kIF97az0wfV57Ti0xfSh6LVdfe059Xnsta30pfXt6XntOLTF9fT1cZnJhY3tc%0D%0AcHJvZF97az0xfV57Ti0xfSh6LWVeey1qXGZyYWN7MlxwaSB9e059a30pfXt6XntOLTF9fQ%3D%3D$
极点：z0=0(N-1阶)；零点： $latex.action?latex=el97cGt9PWVee2pcZnJhY3syXHBpIH17Tn1rfQ%3D%3D$ ，k=1，2，…，N-1
图2.28(a)是极-零点分布图。
$ $latex.action?latex=WChlXntqXG9tZWdhIH0pPVgoeilcbWlkIF97ej1lXntqXG9tZWdhIH19PVxmcmFjezEtZV57LWpc%0D%0Ab21lZ2EgTn19ezEtZV57LWpcb21lZ2EgfX09XGZyYWN7ZV57LWpcZnJhY3tOfXsyfVxvbWVnYSB9%0D%0AKGVee2pcZnJhY3tOfXsyfVxvbWVnYSB9LWVeey1qXGZyYWN7Tn17Mn1cb21lZ2EgfSl9e2Veey1q%0D%0AXGZyYWN7MX17Mn1cb21lZ2EgfShlXntqXGZyYWN7MX17Mn1cb21lZ2EgfS1lXnstalxmcmFjezF9%0D%0AezJ9XG9tZWdhIH0pfQ%3D%3D$
$latex.action?latex=PVxmcmFje3NpblxsZWZ0KCBcZnJhY3tOfXsyfVxvbWVnYSAgXHJpZ2h0KX17c2luXGZyYWN7XG9t%0D%0AZWdhIH17Mn19ZV57LWpcZnJhY3tOLTF9ezJ9XG9tZWdhIH0%3D$
$latex.action?latex=XGxlZnR8IFgoZV57alxvbWVnYSB9KSBccmlnaHR8PVxsZWZ0fCBcZnJhY3tzaW5cbGVmdCggXGZy%0D%0AYWN7Tn17Mn1cb21lZ2EgIFxyaWdodCl9e3NpblxmcmFje1xvbWVnYSB9ezJ9fSBccmlnaHR877yM%0D%0AXHBoaSAoXG9tZWdhICk9LVxmcmFje04tMX17Mn1cb21lZ2Eg$
图2.28(b)所示的是频谱幅度|X(ejω)|的函数曲线。$ $latex.action?latex=WChrKT1cc3VtIF97bj0wfTZ7Ti0xfVJfTihuKVdfe059Xntua309XGZyYWN7MS1XX3tOfV57Tmt9%0D%0AfXsxLVdfe059XntrfX09XGZyYWN7MS1lXnstajJccGkga319ezEtZV57LWpcZnJhY3syXHBpIH17%0D%0ATn1rfX09WChlXntqXG9tZWdhIH0pXG1pZCBfe1xvbWVnYSA9XGZyYWN7MlxwaSB9e059a30%3D$
$latex.action?latex=PVxsZWZ0XHtcYmVnaW57YXJyYXl9e2NjfU7vvIwgJms9MCBcXDDvvIwgJiBrPTHvvIwy77yMXGNk%0D%0Ab3RzIO%2B8jE4tMVxlbmR7YXJyYXl9$
可见，X(k)等于X(ejω)在N个等间隔频率点 $latex.action?latex=XG9tZWdhID1cZnJhY3syXHBpIH17Tn1r$ (k=0，1，…，N-1)上的取样值。