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2. Find the overall impulse response h in terms of the impulse responses of the subsystems....
3. (20 points) Find the impulse responses of the subsystems (h[n] and h2[n]) shown in figure...
3. (20 points) Find the impulse responses of the subsystems (h[n] and h2[n]) shown in figure below, then find the impulse response of the cascaded system (input x[n], output y2[n). Subsystem 1 is described by: Subsystem 2 is described by: iIn] LTILTI h1[n h2n
The system shown below is formed by connecting two systems in parallel. The impulse responses of...
The system shown below is formed by connecting two systems in parallel. The impulse responses of the systems are given by: t h, (t) = € 2€ u(t) , h (t) = 2e fu(t) 1) Find the impulse response h(t) of the overall system. 2) Is the overall system stable? h,(t) x vo h(t)
LTI Systems. Consider two LTI subsystems that are connected in series
(a) LTI Systems. Consider two LTI subsystems that are connected in series, where system Tl has step response s1(t)=u(t-1)-u(t-5) and system T2 has impulse response h2t = e-3tu(t). Find the overall impulse response h(t). Hint: you will need to find h1(t) first (b)Fourier Series. The input signal r(t) and impulse response h(t) of an LTI system are as follows:x(t) = sin(2t)cos(t)-ej3t +2 and h(t) = sin(2t)/t Use the Fourier Series method to find the output y(t) (c)Parseval's Identity and Theorem. Consider the system in the...
For the system shown in Fig. 1 (a) Find the overall impulse response. (b) If haln]...
For the system shown in Fig. 1 (a) Find the overall impulse response. (b) If haln] = h5[n] = δ[n] and hi[n] = haln] = h4[n] = δ[n-1), describe the input output relationship as a set of difference equations? (c) Based on your answer in lb, find another implementation of the system x[n] h4In] h3ln] hsln] Figure 1: System for Question1
The impulse response h(t) of a linear time-invariant system is 2*pi[(t-2)/2]. Find and plot the output...
The impulse response h(t) of a linear time-invariant system is 2*pi[(t-2)/2]. Find and plot the output when the system is driven by an input signal that is identical to the impulse response.
Question 3 A filter has a unit-impulse response h(t)=0.5e-2'u(t). an (i) Find the frequency response H(jo)....
Question 3 A filter has a unit-impulse response h(t)=0.5e-2'u(t). an (i) Find the frequency response H(jo). (ii) Determine an expression for the steady-state response of the filter to v> 02 sáng)
Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) =...
Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) = e (l) and hz(t) = u(t) - ufl-1) (rectangular pulse of duration 1). Find the impulse response h(t) of a new system which is a series interconnection of two mentioned systems. Present mathematical and graphical solution Total 100 points (1) =
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the...
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the difference equation of the 2nd-order IIR filter given by the block diagram Y(z) X(z) + X + +
A system has an input, x(t) and an impulse response, h(t). Using the convolution integral, find...
A system has an input, x(t) and an impulse response, h(t). Using
the convolution integral,
find and plot the system output, y(t), for the combination given
below.
x(t) is P3.2(e) and h(t) is P3.2(f).
1/2 cycle of 2 cos at -2. (e)
4. Which of the following digital filters, expressed in terms of either their impulse response h[n]...
4. Which of the following digital filters, expressed in terms of either their impulse response h[n] or their frequency response H (ejw), can be implemented in practice. Briefly justify the basis of your answer in each case. (a) (2 points) h[n] = 3-nu[n] (b) (2 points) H(ejw) = 2 + 3e-jw (c) (2 points) h[n] = 8[n + 1] – 8[n – 1] (d) (2 points) H(ejw) = e-j5w sin( 4w) sin()
3. (20 points) Find the impulse responses of the subsystems (h[n] and h2[n]) shown in figure below, then find the impulse response of the cascaded system (input x[n], output y2[n). Subsystem 1 is described by: Subsystem 2 is described by: iIn] LTILTI h1[n h2n
The system shown below is formed by connecting two systems in parallel. The impulse responses of the systems are given by: t h, (t) = € 2€ u(t) , h (t) = 2e fu(t) 1) Find the impulse response h(t) of the overall system. 2) Is the overall system stable? h,(t) x vo h(t)
For the system shown in Fig. 1 (a) Find the overall impulse response. (b) If haln] = h5[n] = δ[n] and hi[n] = haln] = h4[n] = δ[n-1), describe the input output relationship as a set of difference equations? (c) Based on your answer in lb, find another implementation of the system x[n] h4In] h3ln] hsln] Figure 1: System for Question1
Question 3 A filter has a unit-impulse response h(t)=0.5e-2'u(t). an (i) Find the frequency response H(jo). (ii) Determine an expression for the steady-state response of the filter to v> 02 sáng)
Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) = e (l) and hz(t) = u(t) - ufl-1) (rectangular pulse of duration 1). Find the impulse response h(t) of a new system which is a series interconnection of two mentioned systems. Present mathematical and graphical solution Total 100 points (1) =
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the difference equation of the 2nd-order IIR filter given by the block diagram Y(z) X(z) + X + +
A system has an input, x(t) and an impulse response, h(t). Using
the convolution integral,
find and plot the system output, y(t), for the combination given
below.
x(t) is P3.2(e) and h(t) is P3.2(f).
1/2 cycle of 2 cos at -2. (e)
4. Which of the following digital filters, expressed in terms of either their impulse response h[n] or their frequency response H (ejw), can be implemented in practice. Briefly justify the basis of your answer in each case. (a) (2 points) h[n] = 3-nu[n] (b) (2 points) H(ejw) = 2 + 3e-jw (c) (2 points) h[n] = 8[n + 1] – 8[n – 1] (d) (2 points) H(ejw) = e-j5w sin( 4w) sin()
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