ECE405HW3Su2010 - ECE 405 HOMEWORK #3 SUMMER 2010 DR. JAMES...

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ECE 405 HOMEWORK #3 SUMMER 2010 ©DR. JAMES S. KANG 1 Given () 10, 3 3 10 0, 6 t t mt r e c t otherwise −≤≤ ⎛⎞ == ⎜⎟ ⎝⎠ , (a) determine the Hilbert transform of ( ) . (b) If m(t) upper single-sideband modulates a carrier ( ) 100cos 2 1000 t π , what is the modulated waveform ( ) USSB ? 2 Determine the Hilbert transform of ( ) ( ) ( ) ( ) 4sin 12 cos 7 cos 3 t t t = . 3 Given 1, 10 0 10 0 10 10 0, t t tt mt t r i t otherwise +− < + < , sketch the Hilbert transform by graphically performing the convolution ˆ 1 t . 4 In the system shown below, assume that ( ) = +1 or –1. (a) Determine the output v o (t) when DSB–SC signal ( ) ( ) ( ) cos in c c vt A m t t ω = is applied at the input. (b) Determine the output when SSB–SC signal o vt ( ) ( ) ( )( ) ( ˆ cos cos in c c vt m t t m t t ) =+ is applied at the input. (c) From the results of (a) and (b), state whether the system can be used to recover carrier from the modulated signals DSB–SC and SSB–SC.
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This note was uploaded on 08/09/2010 for the course ECE ECE 405 taught by Professor Jameskang during the Summer '10 term at Cal Poly Pomona.

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ECE405HW3Su2010 - ECE 405 HOMEWORK #3 SUMMER 2010 DR. JAMES...

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