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Unformatted text preview: BME 311 EXAM #1 February 16, 2006 • Show all work in your blue book. • Please start each problem on a new page, and clearly indicate your answers. • Write and sign the honor pledge on the cover of your blue book: “I have neither given nor received unauthorized aid on this exam, nor have I concealed any violations of the Honor Code.” • This test is closedbook and closednote. Calculators are allowed. 1. [10] For each of the system inputoutput (IO) relationships shown, determine whether the system is (i) linear, and (ii) timeinvariant. As usual, x denotes the continuoustime (CT) or discretetime (DT) input, and y denotes the CT or DT output. (a) y ( t ) = sin( x ( t )) (b) y [ n ] = ∑ n k =∞ x [ k 1] (c) y ( t ) = d 2 d t 2 x ( t ) (d) y [ n ] = ln(  x [ n ]  ) 2. [10] The signals acquired in ultrasound and magnetic resonance imaging are generally radio frequency (RF) signals ( ∼ 1–100 MHz). However, the image information in these signals is at a much lower frequency (...
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 Winter '06
 Steel
 Digital Signal Processing, LTI system theory, Impulse response

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