中原大學九十三學年度碩士班入學招生考試
93年3月27日 14:00~15:30 電子系通訊組  誠實是我們珍視的美德,
我們喜愛「拒絕作弊,堅守正直」的你!
科目:通訊系統  
1. X(t)are Y(t)the input and output random processes of the linear time invariant system respectively. Assume the input signal X(t)is zero mean with autocorrelation function and the transfer function of the system is . Find the average power of the output process Y(t). (20)
 
2. Model of DSB-SC receiver is shown in fig. 1
 
 
The DSB-SC signal s(t)is expressed as , where the is the sinusoidal carrier wave and m(t)is the sample function of a zero mean stationary process whose power spectral density Sm(f)is limited to a maximum frequency W, the message bandwidth. The additive white gaussian noise is zero mean with spectral density
  (a) Find the channel signal to noise ratio of the DSB-SC receiver,(SNR)C,DSB-SC (7)
 
(b) Find the output signal to noise ratio of the DSB-SC receiver,(SNR)O,DSB-SC (7)
 
(c) Find the figure of merit of DSB-SC (6)
   
3.
Find the peak pulse signal to noise ratio of the matched filter shown in fig. 2
 
  where the white noise w(t)is zero mean with power spectral density Hint : (20)
 
4. Fig. 3 shows a convolutional encoder
 
  (a) Determine the corresponding generator polynomial (7)
 
(b) For the message sequence ( 1 1 0 1 1 ), determine the output polynomials of path 1 and
  path 2 (7)
  (c) Following (b), determine the encoded sequence (6)
   
5. Consider the transmission bandwidth, what is the best choice of the analog modulation in the following cases (a) and (b)
  (a) The spectrum M(f)of the message signal m(f)is shown in fig. 4(a) (7)
 
(b) The spectrum M(f)of the message signal m(f)is shown in fig. 4(b) (7)
  (c) Define the signals BPSK and QPSK (6)
 
     
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