see questions attached

ECE 311: Network Analysis & Synthesis CAT 2: Take Away Dec 2014.

Question one

a) Deduce the difference between reciprocal and lossless networks [4mks]

b) Realize, with both Foster forms, the driving point function

( 2)( 5) ( )

( 1)( 3)

s s Z s

s s

  

  [6mks]

Question two

(a) Given the (realizable) impedance function: 4 2

3

4 3 ( )

2

s s Z s

s s

  

 , express it in the form of

a continued fraction and so derive the ladder network, giving all component values.

[10mks]

Question three

(b) Using Matlab program, write m-file script for the design for a data sampled at 1000Hz, a

fourth (4 th

) – order high-pass Butterworth filter with a cut – off frequency of 300Hz,

which corresponds to a normalized value of 0.6. Sketch the magnitude and phase

responses. [10mks]