8. (10%) Find f(2) , if

9. (10%) ?

10.(10%) Find the interval of convergence of the series

(a)  (4%) Considering y1(t), y2(t), y3(t), and y4(t), the random processes that are wide-sense stationary are____________

(b) (3%) Considering y1(t), y2(t), y3(t), and y4(t), the random processes that are white are_______________

(c) (2%)Itis _____________(true/false) that the random processes y2(t) and y3(r) are statistically independent.

(d) (6%) The probability that z(t) is greater than 3 at t=20 is____________

(a) (4%) Compute a set of orthonormal basis functionsusing the Gram-Schmidt procedure, whereis proportional to sA(r). The signals sA(X), sB(t), sc(t), and sD(t) can be expressed as a linear combination of these basis functions as__________________________________________________________________________________________________________________ where the basis functions are________________________________________________________________________________________________________________________________________________________

(b) (4%) The TWO candidate signals that would result in minimum average transmitted energy, given that the two messages are equiprobable, are_______________.

(c) (4%) The TWO candidate signals that would provide the lowest average probability of a bit error are____________________________

(d) (6%) To increase data rate, suppose now you want to send THREE messages instead of two, which again occur with equal a priori probability. Suppose SA(t), SB(t), and sc(t) are chosen to represent these messages, and the power spectral density of the noise is . The union bound of the average symbol error probability is_____________________

115年 - 115 中央警察大學_碩士班入學考試試題_海洋科技組：微積分#139855

115年 - 115 中央警察大學_碩士班入學考試試題_消防科學研究所、交通管理研究所：微積分#139760

114年 - 114 臺灣綜合大學系統_學士班轉學生考試試題:微積分A#137897

114年 - 114 臺灣綜合大學系統_學士班轉學生考試試題：微積分B#137819

114年 - 114 台灣聯合大學系統_學士班轉學生考試試題:微積分#137762

114年 - 114 台灣聯合大學系統_學士班轉學生考試試題:微積分#137761

114年 - 114 國立臺灣大學_轉學生招生考試_物理學系/土木工程學系/生物環境系統工程學系/生物機電工程學系:微積分(B)#137745

114年 - 114 國立臺灣大學_轉學生招生考試_數學系:微積分(A)#137744

113年 - 113 國立嘉義大學_轉學生招生考試試題_(全校)：微積分#122986

112年 - 112 國立臺灣大學_碩士班招生考試題：微積分(D)#130254