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Unformatted text preview: ( f ) = cos( πf ) X 4 ( f ) = 1 2 + j 8 πf-8 π 2 f 2 Note which pairs and properties you are using. 5. Consider the following three signals: x ( t ) = 3 sinc ± t 2 ² y ( t ) = cos(4 πt ) z ( t ) = x ( t ) y ( t ) where the deﬁnition of sinc function is sinc( x ) = sin( πx ) πx . (a) Use Matlab to plot these three signals. (b) Determine Fourier transforms of these signals. (c) Sketch (by hand) amplitude spectra of X ( f ), Y ( f ), and Z ( f ). (d) Which of these three signals are energy versus power signals? Determine and sketch their energy spectral density G ( f ) or power spectral density S ( f ) (whichever applicable). 2...
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- Spring '08
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