ELEC 310 Midterm: ELEC 310 UVic Elec 310 Sample Midterm 2 2005

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6. 3 suppose a discrete-time system is described by the input-output relation (a) determine the output when the input is the complex exponential signal y[n] = x[ n] The calculated response does not conform to the standard frequency response calculation. The form listed above is good only for linear time invariant systems. This system is not time invariant, i. e. t {x[n n0]} 6= y[n n0] when y[n] = t {x[n]} for some functions x[n]. To solve this, we extract the following values: Note: values are approximate, your values may vary slightly from these. The key to this is to note that the graph shows the primary phase angle of h ( ), the phase in the range of ( , ), angles out of this range are mapped back into this range. For example, when the phase crosses in the negative direction with increasing around. /(2 ) 0. 17 the angle jumps from to to show the primary phase angle.

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