Problem 1.1 At the input of a digital FIR filter with the impulse response h(k) = y(k) + (k-1) the sequence s(k) = 2%(k)

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Problem 1 1 At The Input Of A Digital Fir Filter With The Impulse Response H K Y K K 1 The Sequence S K 2 K 1 (63.45 KiB) Viewed 42 times

Problem 1.1 At the input of a digital FIR filter with the impulse response h(k) = y(k) + (k-1) the sequence s(k) = 2%(k) + (k-1) is applied. Before the filter was in zero state. 1.1.1 Determine the system function H, (2) of the digital filter, as well as the z-transformed Sz(2) of the input sequence s(k). 1.1.2 Draw the pole zero plot of H_(2). Which kind of filter is described by the given impulse response? 1.1.3 Determine the z-transformed G (2) of the output sequence g(k), for the case that the given sequence s(k) is applied at the input. 1.1.4 Determine the output sequence g(k) and draw g(k) over k. 1.1.5 Determine a system function Hz(2) of a new digital filter, which reacts to the input of the unit step sequence 7-1(k) with the in 1.1.4 calculated output g(k). 1.1.6 Give the impulse response h1(k) of the digital filter designed in 1.1.5. 1.1.7 Draw a canonical structure of the digital filter designed in 1.1.5.