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EL611 2011 HW 3

EL611 2011 HW 3 - as Now suppose we want to approximate by...

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EL6113 Assignment 3 1. Consider the following 3 sequences: Find and sketch q[n]. Is Justify your answer. 2. Consider the cascade of LTI systems with unit sample responses and depicted below: Suppose we are given the following information: Find the output if the input is : Is the overall system stable? 3. Show that the set of functions is orthonormal. 4. Suppose a function, , can be represented in terms of a given orthonormal basis set
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Unformatted text preview: as . Now suppose we want to approximate by another function, , which is a linear combination of only the first basis functions, i.e. . We want the approximation to be the one which minimizes the integral squared error, i.e. we want to choose such that is minimum. Show that the solution has coefficients so that . Hint: Use the energy theorem applied to the function ....
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EL611 2011 HW 3 - as Now suppose we want to approximate by...

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