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Unformatted text preview: and quadrature component ( ) t q , and draw ( ), ( ), ( ) and ( ) zz ww ii iq S S S jS . 6. (5 points) Give a definition of cyclostationary processes. 7. (15 points) Let f ( t ) be a transmitting signal with waveform shown below. Let the received signal be ( 10) ( ) when ( ) is transmitted ( ) ( ) when ( ) is not transmitted f t t f t t t f t-+ = v x v and ( ) t v be a zero-mean white noise with power spectrum 2 ( ) v S ϖ σ = . (a) Design a matched filter to determine whether f ( t ) is transmitted or not. Draw the impulse response of the matched filter. (b) Explain the procedure of detecting f ( t ) by using the matched filter. 8. (10 points) Show that if ( ) 0 for > S = , then ( ) (0)cos( ) for 2 R R π τ στ <...
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- Fall '08
- Signal Processing, Probability theory, probability density function, WSS random process, Exam of Stochastic Processes