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# Ch12p - Chapter 12 Exercise Solutions EX12.1 a A 1 A A A A...

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Chapter 12 Exercise Solutions EX12.1 a. 4 1 1 1 1 1 1 1 0.05 0.0001 20 10 f f f f A A A A A A A A A A A β β β β β = + + = = = = = = 0.0499 b. ( ) ( ) 20 20 0.998 1/ 1/ 0.0499 20.040 f A β = = = EX12.2 6 6 1 1 1 1 1 0.01 10 100 10 0.009999 f f A A A A A β β β = + = = = = ( ) ( ) 6 1 1 100 20 % 0.002% 10 f f f f f f f dA A dA dA A A A A A dA dA A A β = = + = = EX12.3 ( ) ( )( ) ( ) ( ) 0 5 0 4 Bandwidth 1 10 2 10 100 2 10 rad /sec 10 kHz H H t A A A f ω β ω π ω π = + = = = = EX12.4 (a) ( )( ) ( ) 1 2 2 100 10 10 OA i n i n v A A v A v v v = + = + 1000 100 10 o i i o n i S v S N v N = = (b) ( ) ( ) ( ) 1 2 2 1 1 5 5 5 1 1 10 10 1 0.001 10 1 0.001 10 OC i n i n A A A v v v Α Α Α Α v v β β 2 2 = + + + = + + + 3 4 10 10 0.1 o i i o n i S v S N v N = =

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