通信信號分析與處理智慧樹知到期末考試答案+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:對在大多數(shù)情形下把大量重復(fù)試驗所得到的頻率作為隨機事件的概率的近似值是合理的。（）

答案:對Z(t)=X(t)Y(t)，因為X(t)和Y(t)相互獨立，所以(z;t)=(x;t)(y;t)。（）

答案:錯隨機過程的相關(guān)時間越小則其變化越緩慢，隨機過程越接近寬平穩(wěn)過程。（）

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

答案:錯寬平穩(wěn)隨機過程不一定是嚴平穩(wěn)隨機過程。（）

答案:對隨機變量有時間和試驗結(jié)果兩個參數(shù)，當時間固定，試驗結(jié)果可變量時，隨機過程是一個隨機變量。（）

答案:對理想白噪聲過程隨時間的起伏極快。（）

答案:對相關(guān)時間越小，這說明隨機過程隨時間變化越劇烈。（）

答案:對隨機變量有時間和試驗結(jié)果兩個參數(shù)，當時間和試驗結(jié)果固定時，隨機過程是一個確定的時間函數(shù)。（）

答案:錯平穩(wěn)高斯隨機過程與確定信號之和仍為平穩(wěn)高斯隨機過程。（）

答案:錯功率譜密度為非負函數(shù)。（）

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

答案:錯窄帶隨機過程的萊斯表示中同向分量和正交分量都是實隨機過程。（）

答案:對窄帶隨機過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:錯兩個隨機變量不相關(guān)，那么這兩個隨機變量一定相互獨立。（）

答案:對信號兩次希爾伯特變換后信號不會發(fā)生改變。（）

答案:錯實平穩(wěn)隨機過程的自相關(guān)函數(shù)等于其希爾伯特變換的自相關(guān)函數(shù)。（）

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

答案:對系統(tǒng)等效噪聲帶寬的等效原則是（）。

答案:理想系統(tǒng)與實際系統(tǒng)在同一白噪聲激勵下，兩個系統(tǒng)輸出平均功率相等。###理想系統(tǒng)的增益等于實際系統(tǒng)的最大增益。功率譜密度為Sx(w)的平穩(wěn)隨機過程X(t)，通過傳遞函數(shù)為H(w)的線性系統(tǒng)后輸出為隨機過程Y(t)，功率譜密度為S(w)，那么下列公式錯誤的是（）

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)隨機過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)窄帶隨機過程的萊斯表示中同向分量和正交分量說法錯誤的是（）。

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。對于隨機變量X和Y，正確的是（）

答案:對于任意常數(shù)C,有D[C]=0###對于任意常數(shù)C,有E[C]=C###對于任意常數(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)窄帶隨機過程的萊斯表示中同向分量和正交分量頻域數(shù)字特征說法正確的是（）。

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)隨機過程X(t)通過單位沖激響應(yīng)為h(t)的線性系統(tǒng)后輸出為隨機過程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,iVBORw0KGgoAAAANSUhEUgAAAM4AAAAZCAYAAAB5JBFTAAAHZklEQVR4Ae2YjXHbPAyGs0Jn6ArdoSN0hq6QDbJBN8gEmSALdIFukB3ce3J9fDgEpCBLsnPfZ9zpSJEgfl78UPbD6U53BA5C4PX19fT09HR6fn4+SMPtxD6oGgfz8+vXrxPO//nzR7arjb9//3635+XlZbXOt7e397PYf2vKmPJ+FK5b/QZr7AP7DuEH/CNi7+Hh4fT9+/cRS2t9rV0toYlpLXbnwsHB2fPjx48Twq9B6Pn69evpy5cvF+t8fHx89+fWxTPDlL09cUUWMml2lxANEszBvhNrCuLbt29DVXsUDkWMT1uLb2hk2FiTMx8K5+fPn+9dBKcRBDAGn3kH0GDLRVNsQOfWK97iu8WNqeNidzSuYIUu9Gwh5RD7JSKZZwm9R+EQQ/y6Vgy7OfOhcKpuJZg4cHQHRz96ZgFZCqj7XPHIohPfitDPcySuNDNuii03dMTHZll9shEXcgCdFg5z1nLMthaO5xmvRd2caRUORgvm0Uno5wYO7EHX7ljZ5lnh7IUrSYuezi2R7avebZT59qKQzAP0ga348s5evBlM/FxQlc5qjUaA3Gt85UT9+hR9ifvM24WD8zhxKQhZcfUOQAYk7+MEASUYsweeSHsnVZTdmeMPT3XjcH4PXE3mKtDoneHlXj67lLTiim/MK0I2++YMOihu3mmQnBsVhZ0/F2+lZ7RGoaNDH0djjo2+zRpRu3AMzkzYyIHuup0u69ARk3A2GiR1Eiz46SK3IG3NwdGWrbjqH3IymfzaMBuzfSQs/LkRoYNkB0+w5mFeFUAsHGObbcDu6qz6L/3y8Msl66vesTOSmM5yplU40ekMcFS4dT4CC8cIEAWEfh4BiGusV9/lJieAZLIDmgSzMRd0llW9a2eF2x64KqOyjcJhneRDv/iCB+/xyck76/hghF/gaZKxlsnCIQHh55348LjHOjHM5JlsV+YbvWMP/oIPfsbmG/1mXuXFLGfQ+aFwYiICnmBXDgpgZTx7OO95HMjkeQ3P7/JX4GEPD44vkd2n4lWn8mYjvGtJeWtwxU7OVfosFBIPMgErfDNu8lZys18kd2UDMkmqWKjIZW2kDzlVcZgblT2cmXX8bG9+z7aIKXI7NMsZzp+lIHD0IKRKOruNQdQgjfQMwGQQTAB53o35Z4NyZqO2xvMjfhMm2zni33NdO6txhCv6K3xYRw4JJ4Eta2twqBJVeXHU5rjmPCZmnLvPKO459vJ4q6EnEr6w1rUznh3NlZl1jfi1fZQzZ4sFic6BwQaE9dhdsiK7Rlz3vGtVgSE3G6UNnpuN8q5JmKxvJn+vPe1ciyv6wTEmHVjHd3nQsQYH5HZI2zu8FY/JN9I3SmbXR+doKuxVT2UHa8rEpw5p+yhnzlIEKQaA69ofmKPisSj8VNDAKAdDNQT+KgHg0YaOY/JmPdVZdY9AqM7stVbZ2cEV/WKL3SNcSR50rMFhlJDZZ23P6913cR/p0yf0RHJ9dE652hfHKCfOlZl1RZ44VwdjRWeLVZ4DEBXmPQXGQmDOUxHdchZobajO5jV5RzZF/hkIFDz7ncfmEGUvzUd2dnBFtraDW4XrDM9sW5SV96p3ba/2OmtL+iIGUZ7ro8KJvN25MvGpQ9rOWNFZiiChIB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答案:同向分量和正交分量都是平穩(wěn)隨機過程，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。對隨機試驗而言,樣本空間給出它的所有可能的試驗結(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）稱為（）。

答案:概率空間平穩(wěn)隨機過程X(t)通過單位沖激響應(yīng)為h(t)的線性系統(tǒng)后輸出為隨機過程Y(t)，那么下列公式錯誤的是（）。

答案:data:image/png;base64,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當樣本數(shù)N

趨近于無窮時，估計量的方差趨于零，則稱該估計量為（）。

答案:一致估計量平穩(wěn)隨機過程的時間均值是（）。

答案:隨機變量一般隨機過程的積分是（）。

答案:隨機變量窄帶高斯隨機過程包絡(luò)的一維概率密度是（）。

答案:瑞利分布隨機變量的數(shù)學(xué)期望是（）。

答案:常數(shù)兩個聯(lián)合平穩(wěn)隨機過程互譜密度是（）。

答案:實部是偶函數(shù)確定性信號的帶寬是根據(jù)信號的頻譜確定，隨機信號的帶寬是根據(jù)隨機信號的（）來確定。

答案:功率譜密度實平穩(wěn)隨機過程的希爾伯特變換是（）。

答案:實平穩(wěn)隨機過程對于隨機變量X和Y，錯誤的是（）。

答案:E[XY]=E[X]E[Y]下列說法錯誤的是（）。

答案:漸進無偏估計不可能好于無偏估計。隨機事件是樣本空間的子集。（）

答案:對對于隨機信號可以直接使用傅里葉變換研究其頻域特性。（）

答案:錯對隨機試驗而言,樣本空間給出它的所有可能的試驗結(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）稱為概率空間。（）

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

答案:對對隨機過程進行時間的采樣，得到一串隨機變量所構(gòu)成的序列，即隨機序列。（）

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

答案:對復(fù)信號沒有負頻譜。（）

答案:錯實平穩(wěn)隨機過程與其希爾伯特變換的互相關(guān)函數(shù)是奇函數(shù)。（）

答案:對實平穩(wěn)隨機過程與其希爾伯特變換相互正交。（）

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

答案:錯窄帶隨機過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過程相同。（）

答案:對如果隨機過程的功率譜密度具有帶通形式，那么該隨機過程就是窄帶隨機過程。（）

答案:錯條件概率是概率的一種特殊情況，所以相應(yīng)于概率對應(yīng)的概率空間，條件概率沒有對應(yīng)的條件概率空間。（）

答案:錯若系統(tǒng)輸入非高斯隨機過程的功率譜帶寬遠遠小于線性系統(tǒng)帶寬，則線性系統(tǒng)輸出隨機過程的概率分布趨于高斯分布。（）

答案:錯一個高斯隨機過程經(jīng)過任意線性變換后仍然為高斯隨機過程，其數(shù)字特征保持不變。（）

答案:錯理想白噪聲在任何兩個相鄰時刻(不管這兩個時刻多么鄰近)的取值都是不相關(guān)的。（）

答案:對希爾伯特變換相當于一個正交濾波器。（）

答案:對若線性系統(tǒng)輸入隨機過程是寬平穩(wěn)的隨機過程,則系統(tǒng)輸出隨機過程也是寬平穩(wěn)的隨機過程,且輸入與輸出隨機過程聯(lián)合寬平穩(wěn)。（）

答案:對在對實際信號進行分析時，利用隨機過程的遍歷性，用時間平均來代替隨機變量的統(tǒng)計平均，即用任何一個樣本函數(shù)的統(tǒng)計特性即可獲取整個隨機過程的數(shù)學(xué)期望、自相關(guān)、均方值等數(shù)字特征。（）

答案:對隨機過程的相關(guān)時間越小則其變化越劇烈，隨機過程越接近嚴平穩(wěn)過程。（）

答案:錯由于隨機過程是有一簇確定時間函數(shù)組成的，所以隨機過程也同樣具有采樣定理。（）

答案:錯如果一個線性時不變系統(tǒng)對任意有界輸入其響應(yīng)有界，那么稱此系統(tǒng)是因果的。（）

答案:錯樣本空間具有完備性和可加性。（）

答案:錯遍歷隨機過程一定是平穩(wěn)隨機過程,但反之不一定成立。（）

答案:對古典概率具有無限性和等可能性。（）

答案:錯關(guān)于期望為零的平穩(wěn)窄帶隨機過程的萊斯表示中同向分量和正交分量頻域數(shù)字特征說法錯誤的是（）

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:窄帶高斯隨機過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###窄帶高斯隨機過程的希爾伯特變換是服從高斯分布下列關(guān)于平穩(wěn)隨機過程自相關(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。白噪聲通過理想低通線性系統(tǒng)后說法正確的是（）。

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)輸出的隨機過程隨時間變化越劇烈。###輸出平均功率與系統(tǒng)帶寬成正比。平穩(wěn)隨機過程X(t)通過單位沖激響應(yīng)為h(t)的線性系統(tǒng)后輸出為隨機過程Y(t)，那么下列公式錯誤的是（）

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