Question

Could you please help with the following parts:

a.

b.

c.

A system has the impulse response of. If the following signal is input into this system: Enter the output of this system (y[지) into the blank space provided (use π = pi in equations, eg. 1 +2cos(0.5pin) = 12 cos(0.5Tn)) The magnitude response of a discrete-time filter is plotted between the range-4T ώ +6x and is shown below. 10 -2 0 Normalised Radian frequency x Tm What type of filter is this most likely to be? [Select ] Two systems are cascaded together as shown in the top diagram: x[n]| EquivalentLTI System y[n→ These two systems have the frequency responses of. Using these two frequency responses determine the equivalent LTI system's (shown in the bottom diagram) impulse response (h(n)). Enter the coefficients of this impulse response into the blank spaces provided. 6(n 1) δ(n)+ d(n 2 h(n) = Note: Due to Canvas' syntax for these types of quiz questions round-brackets have had to be used instead of square for the 6(n - N) terms.

Answer 1

a)

a) A Gystem has the iompalse response of q(n-2+cos ( input to the ggstorn Output of the bystem n-4 kwhen a signal is convolving uth inmpulsa Gignal, the output wlu be sigmal Ptsetf 3 3 4

b) Frequency selective filters. magnitude response is high only at -4pi, -2pi, 0, 2pi, 4pi and -6pi.

c)

C) Convolution m ttme domatn leads to omulttplicaton in frequenuy domaln J uo ー.jug t- e - Jus ajus -Ju J Luo -jus hm inverse Foun en tr ansfonmo Ce -Juo -Jusno