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Unformatted text preview: THE STATE UNIVERSITY OF NEW JERSEY RUTGERS College of Engineering Department of Electrical and Computer Engineering 332:322 Principles of Communications Systems Spring 2004 Problem Set 4 1. Phase Locked Loop Demodulator (quickie): (a) Using what you know about phase locked loops (PLLs), show that the PLL can be used as a FM demodulation circuit. (b) How can you modify your PLL to obtain a PM demodulation circuit? 2. Hilbert Transform Stuff for Culture: The Hilbert-transform of a Fourier transformable signal m ( t ) , denoted by m H ( t ) , is defined by m H ( t ) = 1 Z - m ( t ) t- d In the frequency domain, we have M H ( f ) =- j sgn ( f ) M ( f ) where m ( t ) , M ( f ) and m H ( t ) , M H ( f ) are Fourier transform pairs and sgn ( f ) is the signum function. Using the definition of the Hilbert transform, show that a single-sideband modu- lated signal resulting from the message signal m ( t ) and carrier cos(2 f c t ) of unit amplitude is given by s ( t ) = 1 2 [ m (...
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- Spring '08