Digital Signal Processing Practice Test 3

1. If x(n) is a real and odd sequence, then what is the expression for x(n)?

2. Which of the following relation is true if the signal x(n) is real?

3. If X(ω) is the Fourier transform of the signal x(n), then what is the Fourier transform of the signal x(n-k)?

4. A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of 'b₀' such that the frequency response H(ω) satisfies the condition |H(π/4)|²=1/2 and H(0)=1?

5. If h_lp(n) denotes the impulse response of a low pass filter with frequency response H_lp(ω), then what is the frequency response of the high pass filter in terms of H_lp(ω)?

6. An ideal filter should have unity gain in their stop band.

7. A comb filter is a special case of notch filter in which the nulls occur periodically across the frequency band.

8. The output of the Linear time invariant system cannot contain the frequency components that are not contained in the input signal.

9. If x(n) is a real sequence, then what is the value of X_I(ω)?

10. What is the period of the Fourier transform X(ω) of the signal x(n)?