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Digital Signal Processing Practice Test: Frequency Analysis of Signals and Systems
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Frequency Analysis of Signals and Systems topics include: Frequency analysis of discrete and continuous time signals, fourier transform properties, convolution and de-convolution concepts, inverse systems, LTI systems and discrete time signals.

While time-domain analysis shows how a signal changes over time, frequency-domain analysis shows how the signal's energy is distributed over a range of frequencies.

In signal processing, time–frequency analysis is a body of techniques and methods used for characterizing and manipulating signals whose statistics vary in time, such as transient signals.

Digital Signal Processing Practice Test: Frequency Analysis of Signals and Systems
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25 Questions

1. An IIR system with system function H(z)=\(\frac{B(z)}{A(z)}\) is called a minimum phase if ___________
2. If the frequency response of an FIR system is given as H(z)=1-z-1-6z-2, then the system is ___________
3. Which of the following is the equation for the Fourier series coefficient?
4. What are the main characteristics of Anti aliasing filter?
5. An IIR system with system function H(z)=\(\frac{B(z)}{A(z)}\) is called a mixed phase if ___________
6. What is the spectrum that is obtained when we plot |ck |2 as a function of frequencies kF0, k=0,±1,±2..?
7. What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?
8. An ideal filter should have unity gain in their stop band.
9. What is the inverse of the system with impulse response h(n)=(1/2)nu(n)?
10. What is the value of XR(ω) given X(ω)=\(\frac{1}{1-ae^{-jω}}\),|a|<1?
11. If cx(n) is the complex cepstrum sequence obtained from the inverse Fourier transform of ln X(ω), then what is the expression for cθ(n)?
12. The Fourier series representation of any signal x(t) is defined as ___________
13. Which of the following relations are true if x(n) is real?
14. If h(n) is the real valued impulse response sequence of an LTI system, then what is the imaginary part of Fourier transform of the impulse response?
15. If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0 < a < 1, then what is the parameter ‘b’ so that the maximum value of |H(ω)| is unity?
16. If X(ω) is the Fourier transform of the signal x(n), then what is the Fourier transform of the signal x(n-k)?
17. A digital resonator is a special two pole band pass filter with the pair of complex conjugate poles located near the unit circle.
18. An ideal filter should have zero gain in their stop band.
19. What is the Fourier transform X(ω) of a finite energy discrete time signal x(n)?
20. If x(n) is a real signal, then x(n)=\(\frac{1}{π}\int_0^π\)[XR(ω) cosωn- XI(ω) sinωn] dω.
21. What is the frequency range(in Hz) of Electroencephalogram(EEG)?
22. What is the average power of the discrete time periodic signal x(n) with period N?
23. What is the frequency response of the system described by the system function H(z)=\(\frac{1}{1-0.8z^{-1}}\)?
24. The equation of average power of a periodic signal x(t) is given as ___________
25. Which of the following electromagnetic signals has a frequency range of 30kHz-3MHz?

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