A#11-2 - Assignment#11 ECSE-2410 Signals Systems Spring...

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Assignment #11 ECSE-2410 Signals & Systems - Spring 2007 Due Tue 03/13/07 1(15). Text, Problem 8.3. 2(25). Text. Problem 8.4. 3(25). In this problem we use a nonlinear (squaring) circuit element to “modulate” a carrier signal, , with the amplitude of the input (or modulating) signal, . In effect, the amplitude variations of the low frequency ( ) 8 cos( ) ( t t c = ) ( t x 2 ω ) audio signal, , is “transferred” to the amplitude of the high frequency ) ( t x ( 8 = ) carrier signal, . Consider the system, () t c Assign #11 Spring 2007 p.1 where , and the Fourier transform of is ) 8 cos( ) ( t t c = ) ( t m (a)(15). Sketch () B , the complete spectrum generated by the nonlinear device. Label and scale all values and frequencies. (b)(10). Sketch () Y , the spectrum of the desired modulated signal, after filtering. 4(35). See next page. ( ) t y ( ) t b a 2 a b = H ( ) 5 11 -11 -5 1 ) ( t a X ( ) 2 2 1 ) 8 cos( ) ( c t t = + x ) ( t + +
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Assignment #11 – p.2
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A#11-2 - Assignment#11 ECSE-2410 Signals Systems Spring...

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