A continuous time system H has the frequency response H(jω) = 4π / (4π + jω)...
A continuous time system H has the frequency response H(jω) = 4π / (4π + jω) .
a) Find and plot the magnitude as a function of radial frequency.
b) Find and plot the phase as a function of radial frequency.
c) Using H(jω), find the output y(t) for the input x(t) = 4cos(4πt) + 4cos(12πt)
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A continuous time system H has the frequency response H(jω) = 4π
/ (4π + jω)...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) -...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the...
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the magnitude of H()? b) What is the phase of H(u)? c) Determine the impulse response of this system. d) Find the differential equation between the input and output of this system. e) What is the output of the system to the input x()c
Find the transfer function H(jω) for the circuit above as a function of jω. (Leave R...
Find the transfer function H(jω) for the
circuit above as a function of jω. (Leave R and L as variables).
Assume V R to be the output and V S to be the input.
С L RVR(t) vs (t) A. Find the transfer function H(jo) for the circuit above as a function of jaw. (Leave R and L as variables). Assume V to be the output and V to be the input. S R B. Find the Magnitude and Phase...
5. Consider a CT system with transfer function This system is called an integrutor because t by h...
the subject is in digital signal processing
5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
5. (12 points) Consider a continuous-time LTI system whose frequency response is sin(w) H(ju) 4w If...
5. (12 points) Consider a continuous-time LTI system whose frequency response is sin(w) H(ju) 4w If the input to this system is a periodic signal 0, -4<t<-1 x(t)=1, -1st<1 0, 1st<4 with period T= 8 (a) (2 points) sketch r(t) for -4ts4 (b) (5 points) determine the Fourier series coefficients at of x(t), (c) (5 points) determine the Fourier series coefficients be of the corresponding system output y(t)
5. (12 points) Consider a continuous-time LTI system whose frequency response is...
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the...
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the frequency response H (w) of this system? (b) Find and sketch |H(w) (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
Consider a causal LTI system with frequency response H(jw) = 1 2 + jw For a...
Consider a causal LTI system with frequency response H(jw) = 1 2 + jw For a particular input x(t) this system is observed to produce the output y(t) = e-ºut) - e-stutt) i) Determine x(t). ii) Is this system stable? Explain your reasoning. iii) Plot the magnitude and phase responses of H (jw).
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a)...
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a) Find the impulse response, h(t) of the system (b) Determine the outputy() =x(t)*h(t) of the system given an input x(f)--1, ț < 8 4 otherwise 0,
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
Consider a LTI system with impulse response h[n] = u[n]*a^n, where |a| < 1. a) Determine...
Consider a LTI system with impulse response h[n] = u[n]*a^n, where |a| < 1. a) Determine the frequency response of the system. b) Find the magnitude response and the phase response, given a = 1/2. No plots. c) Consider a LTI system whose impulse response h1[n] is a time-shifted version of h[n], i.e., h1[n] = h[n − n0]. Compute the frequency response H1(e^(jΩ)), and represent H1(e^(jΩ)) in terms of H(e^(jΩ)).
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the magnitude of H()? b) What is the phase of H(u)? c) Determine the impulse response of this system. d) Find the differential equation between the input and output of this system. e) What is the output of the system to the input x()c
Find the transfer function H(jω) for the
circuit above as a function of jω. (Leave R and L as variables).
Assume V R to be the output and V S to be the input.
С L RVR(t) vs (t) A. Find the transfer function H(jo) for the circuit above as a function of jaw. (Leave R and L as variables). Assume V to be the output and V to be the input. S R B. Find the Magnitude and Phase...
the subject is in digital signal processing
5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
5. (12 points) Consider a continuous-time LTI system whose frequency response is sin(w) H(ju) 4w If the input to this system is a periodic signal 0, -4<t<-1 x(t)=1, -1st<1 0, 1st<4 with period T= 8 (a) (2 points) sketch r(t) for -4ts4 (b) (5 points) determine the Fourier series coefficients at of x(t), (c) (5 points) determine the Fourier series coefficients be of the corresponding system output y(t)
5. (12 points) Consider a continuous-time LTI system whose frequency response is...
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the frequency response H (w) of this system? (b) Find and sketch |H(w) (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
Consider a causal LTI system with frequency response H(jw) = 1 2 + jw For a particular input x(t) this system is observed to produce the output y(t) = e-ºut) - e-stutt) i) Determine x(t). ii) Is this system stable? Explain your reasoning. iii) Plot the magnitude and phase responses of H (jw).
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a) Find the impulse response, h(t) of the system (b) Determine the outputy() =x(t)*h(t) of the system given an input x(f)--1, ț < 8 4 otherwise 0,
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
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