ELEC 310 Quiz: ELEC 310 UVic Elec 310 Quiz 1 Jan 27 2004

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Notes: this is a closed book examination, a formula sheet is provided on the opposite side of this page, non-programmable calculators are allowed. Xk=0 sin( t) = cos( t) = ej t e j t. (nt ) = 1 n = 0 u(nt ) = 1 n 0 r(nt ) = nt n 0. N-th order causal lti nonrecursive lter: y(nt ) = N-th order causal lti recursive lter: y(nt ) = Mason"s gain formula from node i to node j: yj(nt ) = 1. Lu1 is the transmittance of the uth loop. Pv2 is the product of the transmittances of the vth pair of loops that do not touch. Pw3 is the product of the transmittances of the wth tiplet of non-touching loops. Response of lter to arbitrary input: x(nt kt ) h(kt ) x(kt ) h(nt kt ) Linear lter is stable if and only if.

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