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Unformatted text preview: EE 2200 / Spring 2010: Section FOUR 1 ECE 2200 / Spring 2010 SECTION Four (Week 5: Feb 22-25) 1. The impulse response h [ n ] of an FIR filter is h [ n ] = δ [ n- 1]- 3 δ [ n- 3] + 0 . 1 δ [ n- 4] + 0 . 04 δ [ n- 7] Write the difference equation for the FIR filter. 2. Consider the unit step signal u [ n ] = ( 0 for n < 1 for n ≥ (i) With u [ n ] as the input, compute and sketch the output y [ n ] for n =- 10 to n = 10 of the four-term running average filter with difference equation y [ n ] = 1 4 3 X k =0 x [ n- k ] (ii) Confirm your answer to part (i) using Matlab. (iii) Derive a general formula for y [ n ] as the output of an L-term averager with difference equation y [ n ] = 1 L L- 1 X k =0 x [ n- k ] and a unit step signal u [ n ] as the input. 3. A linear time-invariant system with input x [ n ] and output y [ n ] is described by the difference equation y [ n ] = 3 . 4 x [ n ]- 5 . 2 x [ n- 1] + 3 . 4 x [ n- 2] (i) Determine the unit impulse response of this system....
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- Spring '05
- Digital Signal Processing, LTI system theory, Impulse response, difference equation, Feedforward System