Homework Answers
Clearly seen that 80% of max value of output is at 0.8 at n=3.so width of Impulse response in Input should be of 4 samples for n=0,1,2,3,4,5
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A linear time-invariant channel has the following step response. 0.8 0.4 0.2ト ? 0 0 2...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(),...
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(), compute the output of this system due to an input ) which is a 4 second pulse of height 3, as shown in Fig.1 below. x(t) t(sec) 0 Fig.1 Input signal 10 marks/
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit...
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit rectangular pulse x1(t) - rect(t) is the signal y1 (t) shown on the left below. The system's response to the triangular pulse x2(t)-A(t) is the signal y2(t) shown on the right below 5. уг (r) 0 0 2 2 (Note: the triangular pulse is the signal A(t) 1 -3 -2-1 0 1 2 3 4 a)First draw the system's response to the input signal...
Problem 1: Consider the following time-invariant channel impulse response td and T are constants....
Problem 1: Consider the following time-invariant channel impulse response td and T are constants. a- Plot this impulse response and show the delay of each path. b- Find the power delay profile for this given channel. c- Find the rms delay spread by using the power delay profile d-Find the coherence bandwidth of this channel (assume 90% e- Find the frequency response of this channel and plot it f- If we send a pulse shown below with a duration of...
Please dont use Laplace or Fourier A linear time-invariant continuous-time system has the impulse response h(t)...
Please dont use Laplace or Fourier
A linear time-invariant continuous-time system has the impulse response h(t) = (sin(t) + e-t) u(t) (a) Compute the step response s(t) for all 20. (b) Compute the output response y(t) for all t > 0 when the input is u(t)-(t-2) with no initial energy in the system.
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.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input...
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI system for-oo < nく00.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln...
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the impulse response of the system. Is this system stable? c) Find the difference equation representation of this system.
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the...
For a continuous time linear time-invariant system, the input-output relation is the following (x(t) the input, y(t) the...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(), compute the output of this system due to an input ) which is a 4 second pulse of height 3, as shown in Fig.1 below. x(t) t(sec) 0 Fig.1 Input signal 10 marks/
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit rectangular pulse x1(t) - rect(t) is the signal y1 (t) shown on the left below. The system's response to the triangular pulse x2(t)-A(t) is the signal y2(t) shown on the right below 5. уг (r) 0 0 2 2 (Note: the triangular pulse is the signal A(t) 1 -3 -2-1 0 1 2 3 4 a)First draw the system's response to the input signal...
Problem 1: Consider the following time-invariant channel impulse response td and T are constants. a- Plot this impulse response and show the delay of each path. b- Find the power delay profile for this given channel. c- Find the rms delay spread by using the power delay profile d-Find the coherence bandwidth of this channel (assume 90% e- Find the frequency response of this channel and plot it f- If we send a pulse shown below with a duration of...
Please dont use Laplace or Fourier
A linear time-invariant continuous-time system has the impulse response h(t) = (sin(t) + e-t) u(t) (a) Compute the step response s(t) for all 20. (b) Compute the output response y(t) for all t > 0 when the input is u(t)-(t-2) with no initial energy in the system.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI system for-oo < nく00.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the impulse response of the system. Is this system stable? c) Find the difference equation representation of this system.
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
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