[試題] 102上 曹建和 可適性信號處理 期中考

[f28525 (Lu-2)]

課程名稱︰可適性信號處理
課程性質︰選修
課程教師︰曹建和
開課學院：電資學院
開課系所︰電信所、電機所、生醫電子所
考試日期（年月日）︰2013,11,16
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）

試題 :

1. State the objective functions of the MSE and LMS criteria, then
   answer:

   What are the meanings and differences of these two criteria?
   (10%)

2. What are the differences between the LMS and steepest descent
   algorithms?
   (10%)

3. What are the differences between the LMS and Levinson algorithms?
   (10%)

4. State the inputs and outputs of a Wiener filter and what information
   they provide.
   (10%)

5. State the necessary condition to make the steepest-descent algorithm
   converge.
   (10%)

6. State the definitions or meanings of the following terms:
   a) Principle of orthogonality
   b) Hermitian and Toeplitz
   c) Ergodicity
   (15%)

7. Draw the block diagrams of the four basic classes of adaptive filters
   and state the physical meaning of them (or why they work in these
   ways.)
   (15%)

8. A linear prediction filter can be implemented in the lattice form
   based on the recursive equations of prediction errors, one of which
   is

            f       f          b
           e (n) = e (n) + k  e (n-1)
            m       m-1     m  m-1

   1) State the other recursive equations of prediction errors
   2) Draw the block diagram of the lattice filter
      (let order=3, and input signal be x(n) )
   3) State the advantages of using the lattice form than using the
      direct form.
   (20%)

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