5.4 Post-Reading and Exercises

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7.

Describe the operation of a simple convolution filter and the FFT method to obtain

a suitable convolution kernel.

8.

What is a non-recursive filter, what do the output signals consist of? How does a

recursive filter differ from it?

9.

What is a transfer function? What is the meaning of the real part and the imaginary

part?

10. What are the poles and zeros of the transfer function?

11. Are there equivalent representations to the discrete transfer function? What are

they?

12. What is the phase and amplitude response of a filter? Why do you want to create

filters without phase shift?

13. What is meant by the order of a filter? Describe the differences between FIR and

IIR filters.

14. What does an anti-image low-pass filter do in the context of adding zero values to

subsequently increase the sampling frequency?

15. Can a time-varying system be represented in the frequency domain and if so how?

16. What is the difference between an IIR and an FIR filter?

17.

What favourable property can the phase response of an FIR filter have that cannot

be achieved with an analogue filter?

18. Can an FIR filter become unstable in the normal case with a finite number of filter

coefficients?

19. How is the synthesis of a digital filter done after the "bilinear" transformation?