Digital Signal Processing Practice Test 6

1. Chebyshev polynomials of odd orders are _____________

2. What is the value of chebyshev polynomial of degree 0?

3. The system function of a general IIR filter is given as H(z)=\(\frac{\sum_{k=0}^M b_k z^{-k}}{1+\sum_{k=1}^N a_k z^{-k}}\).

4. What is the order of the normalized low pass Butterworth filter used to design a analog band pass filter with -3.0103dB upper and lower cutoff frequency of 50Hz and 20KHz and a stop band attenuation 20dB at 20Hz and 45KHz?

5. What is the dead band of a single pole filter with a pole at 1/2 and represented by 4 bits?

6. If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a high pass filter with a cutoff frequency of 1rad/sec?

7. H_R(ω) and H_I(ω) are interdependent and cannot be specified independently when the system is causal.

8. The magnitude |H(ω)| cannot be constant in any finite range of frequencies and the transition from pass-band to stop-band cannot be infinitely sharp.

9. What is the first backward difference of y(n)?

10. Which of the following is the correct relation between 's' and 'z'?