Tutoral2_ans - EE 3008 Baseband Modulation Tutorial...

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Unformatted text preview: EE 3008. Baseband Modulation Tutorial Solutions Q1) (a) (b) 2 2 2 2 3 00 ( ) sinc ( ) j f j f f A f e e π τ π τ τ π τ − − Ψ = − − , 2 2 2 2 3 10 ( ) sinc ( ) j f j f f A f e e π τ π τ τ π τ − − Ψ = − , 2 2 2 2 3 01 ( ) sinc ( ) j f j f f A f e e π τ π τ τ π τ − − Ψ = − + , 2 2 2 2 3 11 ( ) sinc ( j f j f f A f e e π τ π τ τ π τ − − Ψ = + . Q2) (a) 00 11 ( ) ( ) f f Ψ = Ψ and 01 10 ( ) ( ) f f Ψ = Ψ . 2 τ τ t 0 − A s 00 ( t ) 2 τ τ t 0 A s 10 ( t ) 2 τ τ t 0 A s 01 ( t ) 2 τ τ t 0 A s 11 ( t ) (b) ( ) 2 2 2 11 00 10 01 1 ( ) ( ) ( ) ( ) ( ) 2 sinc ( ) 4 f f f f f A f τ π τ Ψ = Ψ + Ψ + Ψ + Ψ = . (c) 2 2 ( ) ( ) sinc ( ) 2 f G f A f τ π τ τ Ψ = = . Q3) (a) Let b 1 b 2 b 3 (each independently and equally taken over { ± 1}) be the three bits transmitted. The Fourier transform of this 3-bit PAM waveform can be represented as ( ) 1 2 3 3 5 1 2 3 ( ) sinc( ) j f j f j f bb b X f A f b e b e b e π τ π τ π τ τ π τ − − − = + + , and the energy spectrum is given by...
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This note was uploaded on 01/11/2011 for the course EE 3008 taught by Professor Pingli during the Fall '08 term at City University of Hong Kong.

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Tutoral2_ans - EE 3008 Baseband Modulation Tutorial...

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