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review1 - 9 Given impulse response h t h n and input x t x...

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Systems Analysis in the Time Domain – Review Questions 1. Given verbal description or a graph, write signals as mathematical functions (and vice versa). Do so for both analog and digital signals. 2. Given an analog / digital signal, apply to it time shift and folding; time scaling (for analog signals); and decimation and interpolation (for digital signals). 3. Given governing ODE, determine whether the system is linear and stationary (with proofs). 4. Given governing ODE / difference equation, compute impulse response h ( t ) / h [ n ] (or step response a ( t )). 5. Given a difference equation of an FIR/IIR filter, draw the corresponding block diagram (and vice versa). Determine the order of the filter. 6. Given step response a ( t ), compute impulse response h ( t ). 7. Given impulse response h ( t ), determine whether the system is BIBO stable and causal (with proofs). 8. Given impulse response h [ n ], determine whether the system causal.
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Unformatted text preview: 9. Given impulse response h ( t ) / h [ n ] and input x ( t ) / x [ n ], find output y ( t ) / y [ n ] by convolution. 10. Given signal x(t), determine whether it is power, energy, or neither. 11. Given signal x(t), compute its power or energy (whichever applicable). 12. For a periodic analog signal, determine its frequency, radial frequency, period, time delay, and phase shift. 13. For a sinusoidal signal, write it in the rotating phasor form. 14. Given two periodic signals, determine whether their sum is periodic. If so, find the fundamental frequency and period. 15. For a periodic digital signal, determine its digital frequency, digital radial frequency, and the minimum sampling frequency. 16. Given a signal sampled with a sampling frequency f s , determine folding and aliasing frequencies....
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