通信信號(hào)分析與處理智慧樹(shù)知到期末考試答案章節(jié)答案2024年哈爾濱工業(yè)大學(xué)

通信信號(hào)分析與處理智慧樹(shù)知到期末考試答案+章節(jié)答案2024年哈爾濱工業(yè)大學(xué)古典概率具有有限性和等可能性。（）

答案:對(duì)在大多數(shù)情形下把大量重復(fù)試驗(yàn)所得到的頻率作為隨機(jī)事件的概率的近似值是合理的。（）

答案:對(duì)Z(t)=X(t)Y(t)，因?yàn)閄(t)和Y(t)相互獨(dú)立，所以(z;t)=(x;t)(y;t)。（）

答案:錯(cuò)隨機(jī)過(guò)程的相關(guān)時(shí)間越小則其變化越緩慢，隨機(jī)過(guò)程越接近寬平穩(wěn)過(guò)程。（）

答案:錯(cuò)希爾伯特變換相當(dāng)于一個(gè)90度的移相器，它對(duì)所有頻率分量的幅度響應(yīng)都是1，對(duì)所有正頻率分量（包括零頻率分量）移相90度。（）

答案:錯(cuò)寬平穩(wěn)隨機(jī)過(guò)程不一定是嚴(yán)平穩(wěn)隨機(jī)過(guò)程。（）

答案:對(duì)隨機(jī)變量有時(shí)間和試驗(yàn)結(jié)果兩個(gè)參數(shù)，當(dāng)時(shí)間固定，試驗(yàn)結(jié)果可變量時(shí)，隨機(jī)過(guò)程是一個(gè)隨機(jī)變量。（）

答案:對(duì)理想白噪聲過(guò)程隨時(shí)間的起伏極快。（）

答案:對(duì)相關(guān)時(shí)間越小，這說(shuō)明隨機(jī)過(guò)程隨時(shí)間變化越劇烈。（）

答案:對(duì)隨機(jī)變量有時(shí)間和試驗(yàn)結(jié)果兩個(gè)參數(shù)，當(dāng)時(shí)間和試驗(yàn)結(jié)果固定時(shí)，隨機(jī)過(guò)程是一個(gè)確定的時(shí)間函數(shù)。（）

答案:錯(cuò)平穩(wěn)高斯隨機(jī)過(guò)程與確定信號(hào)之和仍為平穩(wěn)高斯隨機(jī)過(guò)程。（）

答案:錯(cuò)功率譜密度為非負(fù)函數(shù)。（）

答案:對(duì)樣本空間的完備性是指樣本空間必須包含隨機(jī)試驗(yàn)的所有可能的基本空間。（）

答案:錯(cuò)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量都是實(shí)隨機(jī)過(guò)程。（）

答案:對(duì)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量的數(shù)學(xué)期望為零。（）

答案:錯(cuò)兩個(gè)隨機(jī)變量不相關(guān)，那么這兩個(gè)隨機(jī)變量一定相互獨(dú)立。（）

答案:對(duì)信號(hào)兩次希爾伯特變換后信號(hào)不會(huì)發(fā)生改變。（）

答案:錯(cuò)實(shí)平穩(wěn)隨機(jī)過(guò)程的自相關(guān)函數(shù)等于其希爾伯特變換的自相關(guān)函數(shù)。（）

答案:對(duì)如果試驗(yàn)次數(shù)足夠多,那么頻率具有穩(wěn)定性,且趨近于事件概率。（）

答案:對(duì)系統(tǒng)等效噪聲帶寬的等效原則是（）。

答案:理想系統(tǒng)與實(shí)際系統(tǒng)在同一白噪聲激勵(lì)下，兩個(gè)系統(tǒng)輸出平均功率相等。###理想系統(tǒng)的增益等于實(shí)際系統(tǒng)的最大增益。功率譜密度為Sx(w)的平穩(wěn)隨機(jī)過(guò)程X(t)，通過(guò)傳遞函數(shù)為H(w)的線(xiàn)性系統(tǒng)后輸出為隨機(jī)過(guò)程Y(t)，功率譜密度為S(w)，那么下列公式錯(cuò)誤的是（）

答案:data:image/png;base64,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###data:image/png;base64,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###data:image/png;base64,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推導(dǎo)隨機(jī)過(guò)程功率譜密度的包含（）步驟

答案:帕斯瓦爾公式###截短###求平均###求極限關(guān)于期望為零的平穩(wěn)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量說(shuō)法錯(cuò)誤的是（）。

答案:同向分量和正交分量正交。###同向分量和正交分量的方差不相等。對(duì)于隨機(jī)變量X和Y，正確的是（）

答案:對(duì)于任意常數(shù)C,有D[C]=0###對(duì)于任意常數(shù)C,有E[C]=C###對(duì)于任意常數(shù)c和b，有E[cX+bY]=cE[X]+bE[Y]古典概率具有（）性質(zhì)。

答案:有限性###等可能性關(guān)于期望為零的平穩(wěn)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量頻域數(shù)字特征說(shuō)法正確的是（）。

答案:同向分量和正交分量的功率譜僅包含低頻且是限帶。###同向分量和正交分量的互功率譜不一定為零。平穩(wěn)隨機(jī)過(guò)程X(t)通過(guò)單位沖激響應(yīng)為h(t)的線(xiàn)性系統(tǒng)后輸出為隨機(jī)過(guò)程Y(t)，那么下列公式正確的是（）

答案:data:image/png;base64,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###data:image/png;base64,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答案:同向分量和正交分量都是平穩(wěn)隨機(jī)過(guò)程，且聯(lián)合平穩(wěn)。###同向分量和正交分量的數(shù)學(xué)期望相等。對(duì)隨機(jī)試驗(yàn)而言,樣本空間給出它的所有可能的試驗(yàn)結(jié)果,事件域給出了由這些可能結(jié)果組成的各種各樣的事件,而概率給出每一事件發(fā)生的概率,則（樣本空間，事件域，概率）稱(chēng)為（）。

答案:概率空間平穩(wěn)隨機(jī)過(guò)程X(t)通過(guò)單位沖激響應(yīng)為h(t)的線(xiàn)性系統(tǒng)后輸出為隨機(jī)過(guò)程Y(t)，那么下列公式錯(cuò)誤的是（）。

答案:data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALUAAAAZCAYAAAB3jW88AAAFo0lEQVR4Ae2YgVHkOhBENxeCIRZCIRICIQ5i4Vfz7xX9+89ItmwWjrKqtuSVRjPdPS0vd7f3a1wK/DIFbr+Mz0XnixV4fn5+v91u709PT19caT19aeqXl5cP4AJffd7e3tYr/jn58PDwkXtvrsfHx49zr6+vhzHsTQDmSpN7NXmVv/AJt3o7G6qhTzWOmhpv7dVL/Rb+DpdjXTK1kovc6kDgVWPS2NX6q+dGpsboq7m3nMNQW4xZ5UP32YtE+namA0O3X9VlTXW3GpMzPmPsmfeGpq5uBcII3MqA2Ioo1IPckRzk2jNj6ryMcDp62WdYjhhCucFZ9ZUXhbhJVxmn0vmIqfGOcKwOcI5ylM7kJ6IiLzBdc7cAPYOY6kBuS82zYka8Z5odxYCZ8kLtzdvpL5NgYl0ePlp3A4FDefYM5VDOveeyBhiFoxtLpsZQKwIffdtABBONyBF71jwyNWJ3L4KjGFRbn6MDnJ25tA7PSttVU3NuxTPJGXy5zvclU/stJtGWGSNq9oHQ5O3mPHfWBXEso2fErBpD0zqzjPLO9tAnTcbbr9OL9TwnHvrkgIPqdb0iBp6aqaM5a1Gjq5nnPZc/k0czGKo+aH+3qWkspLzY7BkC/nO2tTEimKbmFyPrUsdFqZ6rxmYu/w73FBMDqIZz87NHnrsmVpyqtTQa+iRWnfW+St/UCCyKQ/+smfXoseeWHuTK89V316+75MQMTV0l11qCpkg2O9cRgeKaRTiFo26K7uf0jChZl6aRp5uzbubP75i6y5fx4EgemIVm52XN9S6PcPgAX+rhMXrmEmbdjKu+o7lqp370N9fxQfpG330NXMozG6rfxf1XlT+ZSF41rxNMwmcRfXfQIpuEK/DUTTNkrHIrtsOU8Ue/CzvYfE7eXkd7vo+2cBOH1ERa6sPQedWbDfDN9ACD5r0DzSs8XEbtwU/5t9YjzvXq8KlGF1cqVSVnTckq0SDEnuYkLtGzgRVondPHhaniwKT5HqMyDWudwOiALuLlF124tQYHdHTuZ5saTIlji4aY2i+dn0MPx7+1T8R1WmadzkubTa2EEOqS+dtawFI0nevOOuC/ydTCDV6M6Vz0LF3EW3pU/H1dsWmYy9Sp6L//rVxp+dGP/4d//lxUN0aJqreN8vCW4cZlbp3tgHgsJvHb7vs8UyfNJFOQYzRvwUItzXDnrcseOFSrG+DIs8RrnzzJ+zI1Kn3OIy+VXUDcytT8dKkJKb5KYqh8S2tva3MwQJX/k9bnL0caBQzk6eazTO3c8i0LXjAkVvall2Kq8/CZ6dFdOmow01/Ne8cIp3KBwbHimcoTXh9cle88Ts/SqovbbWolxJxVAyDgpAB0dnPAQf6vnmlYZUx4S+zkLt7Cqrm7SDqjs1VujFTtOWf0mJl1ax88N89gUY5qoJFrALfuDHnQsNMo47pLsmRqQFZNAJiTAgw3cSY6zVF+fToxtKfYew0a1pkLszgmOKOHMFfNQNMqN5pW55w79dHNcXiceMyM4/H+vGJqnd9SEw3Ar7nSAwzVnmotmVoHXUAnTQNoou8BuhPbY51YZWrqzBrtOY8+z0wNP2EHlz+rfpocTJxtG1X8vzBnfQaj6lY6U6fS1PN0zxiqO0991fGBXzp+xKIP/a/ixUv73eh3uhOTdcyWpDgGuW6fuNkMsaN5ZnWO7HdvJ7B7bvFQo6omKg4zdfuea/SM/kfzjGpUe/DrLkN1plrDX6M8p5u6AuJrW0B5fPV8lkBV7p+6Bufq7bsHc/cG35NjNZbLLC6rg0s5ynF3U4vMFmAj0ogzivmNe0ff1kd1P6opF3P0lh3V4IXIn3Zd7LeYWmC6v706oKxj6Hv/fFL/u+dV/hh69o/0r+bH38x7jY2hxX82vs3UM2DX/qXAqgKXqVeVu879WAUuU//Y1lzAVhX4B7gkLhBHSDVvAAAAAElFTkSuQmCC當(dāng)樣本數(shù)N

趨近于無(wú)窮時(shí)，估計(jì)量的方差趨于零，則稱(chēng)該估計(jì)量為（）。

答案:一致估計(jì)量平穩(wěn)隨機(jī)過(guò)程的時(shí)間均值是（）。

答案:隨機(jī)變量一般隨機(jī)過(guò)程的積分是（）。

答案:隨機(jī)變量窄帶高斯隨機(jī)過(guò)程包絡(luò)的一維概率密度是（）。

答案:瑞利分布隨機(jī)變量的數(shù)學(xué)期望是（）。

答案:常數(shù)兩個(gè)聯(lián)合平穩(wěn)隨機(jī)過(guò)程互譜密度是（）。

答案:實(shí)部是偶函數(shù)確定性信號(hào)的帶寬是根據(jù)信號(hào)的頻譜確定，隨機(jī)信號(hào)的帶寬是根據(jù)隨機(jī)信號(hào)的（）來(lái)確定。

答案:功率譜密度實(shí)平穩(wěn)隨機(jī)過(guò)程的希爾伯特變換是（）。

答案:實(shí)平穩(wěn)隨機(jī)過(guò)程對(duì)于隨機(jī)變量X和Y，錯(cuò)誤的是（）。

答案:E[XY]=E[X]E[Y]下列說(shuō)法錯(cuò)誤的是（）。

答案:漸進(jìn)無(wú)偏估計(jì)不可能好于無(wú)偏估計(jì)。隨機(jī)事件是樣本空間的子集。（）

答案:對(duì)對(duì)于隨機(jī)信號(hào)可以直接使用傅里葉變換研究其頻域特性。（）

答案:錯(cuò)對(duì)隨機(jī)試驗(yàn)而言,樣本空間給出它的所有可能的試驗(yàn)結(jié)果,事件域給出了由這些可能結(jié)果組成的各種各樣的事件,而概率給出每一事件發(fā)生的概率,則（樣本空間，事件域，概率）稱(chēng)為概率空間。（）

答案:對(duì)希爾伯特變換是一全通濾波器，只改變信號(hào)的相位，不會(huì)改變信號(hào)的能量和功率。（）

答案:對(duì)對(duì)隨機(jī)過(guò)程進(jìn)行時(shí)間的采樣，得到一串隨機(jī)變量所構(gòu)成的序列，即隨機(jī)序列。（）

答案:對(duì)概率是衡量一個(gè)事件發(fā)生的可能性大小的數(shù)量指標(biāo)，其值介于0和1之間。（）

答案:對(duì)復(fù)信號(hào)沒(méi)有負(fù)頻譜。（）

答案:錯(cuò)實(shí)平穩(wěn)隨機(jī)過(guò)程與其希爾伯特變換的互相關(guān)函數(shù)是奇函數(shù)。（）

答案:對(duì)實(shí)平穩(wěn)隨機(jī)過(guò)程與其希爾伯特變換相互正交。（）

答案:錯(cuò)樣本空間的可加性是指樣本空間中的任意兩個(gè)基本事件可以相加，不影響事件的概率。（）

答案:錯(cuò)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量的功率和原窄帶隨機(jī)過(guò)程相同。（）

答案:對(duì)如果隨機(jī)過(guò)程的功率譜密度具有帶通形式，那么該隨機(jī)過(guò)程就是窄帶隨機(jī)過(guò)程。（）

答案:錯(cuò)條件概率是概率的一種特殊情況，所以相應(yīng)于概率對(duì)應(yīng)的概率空間，條件概率沒(méi)有對(duì)應(yīng)的條件概率空間。（）

答案:錯(cuò)若系統(tǒng)輸入非高斯隨機(jī)過(guò)程的功率譜帶寬遠(yuǎn)遠(yuǎn)小于線(xiàn)性系統(tǒng)帶寬，則線(xiàn)性系統(tǒng)輸出隨機(jī)過(guò)程的概率分布趨于高斯分布。（）

答案:錯(cuò)一個(gè)高斯隨機(jī)過(guò)程經(jīng)過(guò)任意線(xiàn)性變換后仍然為高斯隨機(jī)過(guò)程，其數(shù)字特征保持不變。（）

答案:錯(cuò)理想白噪聲在任何兩個(gè)相鄰時(shí)刻(不管這兩個(gè)時(shí)刻多么鄰近)的取值都是不相關(guān)的。（）

答案:對(duì)希爾伯特變換相當(dāng)于一個(gè)正交濾波器。（）

答案:對(duì)若線(xiàn)性系統(tǒng)輸入隨機(jī)過(guò)程是寬平穩(wěn)的隨機(jī)過(guò)程,則系統(tǒng)輸出隨機(jī)過(guò)程也是寬平穩(wěn)的隨機(jī)過(guò)程,且輸入與輸出隨機(jī)過(guò)程聯(lián)合寬平穩(wěn)。（）

答案:對(duì)在對(duì)實(shí)際信號(hào)進(jìn)行分析時(shí)，利用隨機(jī)過(guò)程的遍歷性，用時(shí)間平均來(lái)代替隨機(jī)變量的統(tǒng)計(jì)平均，即用任何一個(gè)樣本函數(shù)的統(tǒng)計(jì)特性即可獲取整個(gè)隨機(jī)過(guò)程的數(shù)學(xué)期望、自相關(guān)、均方值等數(shù)字特征。（）

答案:對(duì)隨機(jī)過(guò)程的相關(guān)時(shí)間越小則其變化越劇烈，隨機(jī)過(guò)程越接近嚴(yán)平穩(wěn)過(guò)程。（）

答案:錯(cuò)由于隨機(jī)過(guò)程是有一簇確定時(shí)間函數(shù)組成的，所以隨機(jī)過(guò)程也同樣具有采樣定理。（）

答案:錯(cuò)如果一個(gè)線(xiàn)性時(shí)不變系統(tǒng)對(duì)任意有界輸入其響應(yīng)有界，那么稱(chēng)此系統(tǒng)是因果的。（）

答案:錯(cuò)樣本空間具有完備性和可加性。（）

答案:錯(cuò)遍歷隨機(jī)過(guò)程一定是平穩(wěn)隨機(jī)過(guò)程,但反之不一定成立。（）

答案:對(duì)古典概率具有無(wú)限性和等可能性。（）

答案:錯(cuò)關(guān)于期望為零的平穩(wěn)窄帶隨機(jī)過(guò)程的萊斯表示中同向分量和正交分量頻域數(shù)字特征說(shuō)法錯(cuò)誤的是（）

答案:同向分量和正交分量的功率譜為零。###同向分量和正交分量的互功率譜為零。下面關(guān)于高斯分布正確的是（）

答案:窄帶高斯隨機(jī)過(guò)程的同向分量和正交分量的一維概率密度是服從高斯分布###窄帶高斯隨機(jī)過(guò)程的希爾伯特變換是服從高斯分布下列關(guān)于平穩(wěn)隨機(jī)過(guò)程自相關(guān)函數(shù)曲面描述正確的是（）。

答案:不能出現(xiàn)平頂。###不能在幅度上有任何不連續(xù)。###不能為任意形狀。###不能出現(xiàn)垂直邊。白噪聲通過(guò)理想低通線(xiàn)性系統(tǒng)后說(shuō)法正確的是（）。

答案:輸出功率譜寬度與系統(tǒng)帶寬有關(guān)。###輸出的相關(guān)時(shí)間與系統(tǒng)帶寬成反比。###系統(tǒng)帶寬越寬，系統(tǒng)輸出的隨機(jī)過(guò)程隨時(shí)間變化越劇烈。###輸出平均功率與系統(tǒng)帶寬成正比。平穩(wěn)隨機(jī)過(guò)程X(t)通過(guò)單位沖激響應(yīng)為h(t)的線(xiàn)性系統(tǒng)后輸出為隨機(jī)過(guò)程Y(t)，那么下列公式錯(cuò)誤的是（）

答案:data:image/png;base64,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###data:image/png;base64,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