tutorial3 - the input and the output? b) Determine the...

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Tutorial 3 Q1. Consider the following periodic signal x(t) : Figure Q1. Continuous-time periodic signal x(t) (a) What is the period of this signal? (b) Determine the Trigonometric Fourier series of x (t) Q2. An electronic amplifier has a gain of 2, but it saturates when the input exceeds 0.5. The input- output relationship can be expressed as () > = 5 . 0 if sgn 5 . 0 if 2 x x x x y where () < = 0 x if 1 0 x if 1 sgn x Determine the Trigonometric Fourier Series of the signal y(t) if the signal x(1) in Q1 is inputted. Q3. A technique for building a dc power supply is to rectify an ac signal with a full-wave bridge. In mathematic, () () t x t y = where x(t) and y(t) are the input and output, respectively. a) Sketch the input and output waveforms if ( ) ( ) t t x π = 120 sin . What are the frequencies of
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Unformatted text preview: the input and the output? b) Determine the coefficients of the complex exponential Fourier series for the output y(t) . c) What is the amplitude of the dc component of the input signal? d) What is the amplitude of the dc component of the output signal? Q4. What are the answers if the circuit in Q3 is a half-wave bridge, instead of a full-wave bridge? The half-wave bridge can be defined as ( ) ( ) ( ) ( )    ≤ > = if if t x t x t x t y Q5. Consider the following periodic signal x(t) : Figure Q5. Continuous-time periodic signal x(t) (c) What is the period of this signal? (d) Determine the Trigonometric Fourier series representation for x (t) (e) What is the average power of the signal x(t)...
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This note was uploaded on 01/11/2011 for the course EE 3118 taught by Professor Kitsangtsang during the Spring '08 term at City University of Hong Kong.

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