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Unformatted text preview: ( t-n ) , for integer n ? Shifted sincs will play an very important roll when we discuss reconstructing a continuous signal from its samples. Hint: Use the form of Parseval’s theorem from the previous question. Recall that the inte-gral of a complex exponential over an integer number of periods is zero! 5. Consider the signal y ( t ) that is deﬁned as y ( t ) = x ( t ) * x (-t ) where x ( t ) is a real signal. (a) Find an expression for y ( at ) in terms of x ( t ) , where a is a positive constant. (b) Is y ( t ) even, odd, or neither? (c) Is Y ( jω ) even or odd? Is it real or imaginary? (d) If we know y ( t ) , can we uniquely determine x ( t ) ?...
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- Spring '09
- Complex number, jω