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review2 - 11 Explain Gibbs phenomenon and the use of...

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Systems Analysis in the Frequency Domain – Review Questions Exponential Fourier Series and Fourier Transform 1. Given governing ODE, compute frequency response H ( f ) / H ( ω ): by steady-state analysis, by FT of governing ODE, and by FT of impulse response h ( t ). 2. Given H ( f ) / H ( ω ), compute and sketch amplitude and phase responses. 3. Given amplitude and phase responses, identify lowpass, highpass, or bandpass filter; explain the concept of cutoff frequency. 4. Given a sinusoidal signal x ( t ) and H ( f ) / H ( ω ), compute output y ( t ). 5. Given x ( t ), decide whether to use Exp. FS or FT. 6. Given x ( t ) and table of Fourier coefficients, write representation of x ( t ) as an Exp. FS with real and positive coefficients. If needed, account for the DC offset and time delay. 7. Given Exp. FS of x ( t ) and H ( ω ), find output y ( t ). 8. Given Exp. FS of x ( t ) or y ( t ), draw amplitude and phase spectra. 9. Given Exp. FS of x ( t ) or y ( t ), find power spectrum and average power. 10. Explain criteria for choosing the number of terms in the Exp. FS representation of a signal.
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Unformatted text preview: 11. Explain Gibbs phenomenon and the use of spectral windows. 12. Explain relationships between Exp. FS and FT. 13. Compute F. coefficients / FT by direct integration. 14. Given x ( t ), find X ( f ). 15. Given X ( f ) and H ( f ), find Y ( f ). 16. Given Y ( f ), find y ( t ). 17. Given X ( f ) or Y ( f ), draw amplitude and phase spectra. 18. Given X ( f ) or Y ( f ), find energy spectral density and total energy (for energy func-tions) or power spectral density and average power (for power functions). 19. Given governing difference equation of the FIR filter, find its frequency response H (Ω). 20. Given H (Ω), sketch amplitude and phase spectra of the filter. Indicate periodicity of H (Ω). 21. Given a sinusoidal signal x [ n ] and H (Ω), compute output y [ n ]. 22. Explain relationships between FT, DTFT, DFT, and FFT. 23. Explain sources of errors in DTFT, DFT, and FFT: aliasing/folding and leakage....
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This note was uploaded on 05/25/2010 for the course BME 171 taught by Professor Izatt during the Spring '08 term at Duke.

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review2 - 11 Explain Gibbs phenomenon and the use of...

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