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The time-variant transfer function of a WSSUS channel is given by: (a) Does the channel exhibit f...
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...
Problem 2.13 A wireless channel has impulse response given by h(t) 2t 0.1) +j8(t 0.64)-0.86(t-2.2...
Problem 2.13 A wireless channel has impulse response given by h(t) 2t 0.1) +j8(t 0.64)-0.86(t-2.2), where the unit of time is in microseconds (a) What is the delay spread and coherence bandwidth? (b) Plot the magnitude and phase of the channel transfer function H(f) over the interval -2Be,2Be], where Be denotes the coherence bandwidth computed in (a). Comment on how the phase behaves when H(f) is small. (c) Express | H(f)l in dB, taking 0 dB as the gain of...
Problem 1: Consider the followingtime-invariant channel impulse response c(t)-6(t-td) + (1/2) δ(t...
Problem 1: Consider the followingtime-invariant channel impulse response c(t)-6(t-td) + (1/2) δ(t-(t0+T)) + (1/2) δ(t(td-T)), td and Tare 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 you find in (b) d- Find the coherence bandwidth°fthis channel (assume 90% correlation). Note that it may be a function oftd and e Find the frequency response...
Communication system 7- What is the main function of the analog front end (why it is needed and what does it do)? 8- What are the main channel effects? 9- What is the reason for exitance of noise and...
Communication system
7- What is the main function of the analog front end (why it is needed and what does it do)? 8- What are the main channel effects? 9- What is the reason for exitance of noise and where exactly it happens physically in the system? 10- Draw a block diagram that represents the channel effect. 11- Write an the expression of the received signal, y(t), given that the transmitted signal is x(t), the channel effect is h(t) and...
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system is given by: 1+0.6z1-0.5z1 i Does...
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system is given by: 1+0.6z1-0.5z1 i Does the system have a finite impulse response (FIR) or infinite 3 impulse response (IIR)? Explain why. ii Determine the impulse response h[n] of the above system iii) Suppose that the system above was designed using the bilinear transformation method with sampling period T-0.5 s. Determine its original analogue transfer function.
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system...
Question 4: a) Given the following received signal z vAS b+w where w is the white...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system 2. Consider a linear time-invariant system with transfer f...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
Question One (a) The Impulse Response of a second order system is given by h(t) where: h(t) 4000e...
Question One (a) The Impulse Response of a second order system is given by h(t) where: h(t) 4000e 3000 c0, where the time, t, is given in milliseconds (ms) and h(t) is considered to be the resulting voltage in volts. 0) Derive the Transfer Function, the Laplace Transform H(s) of h(t). () Using part (0). write out the Frequency Response, HGo), of the second order (ii) Express the Frequency Response obtained in part (i) as a single response system. and...
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...
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...
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...
Problem 2.13 A wireless channel has impulse response given by h(t) 2t 0.1) +j8(t 0.64)-0.86(t-2.2), where the unit of time is in microseconds (a) What is the delay spread and coherence bandwidth? (b) Plot the magnitude and phase of the channel transfer function H(f) over the interval -2Be,2Be], where Be denotes the coherence bandwidth computed in (a). Comment on how the phase behaves when H(f) is small. (c) Express | H(f)l in dB, taking 0 dB as the gain of...
Problem 1: Consider the followingtime-invariant channel impulse response c(t)-6(t-td) + (1/2) δ(t-(t0+T)) + (1/2) δ(t(td-T)), td and Tare 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 you find in (b) d- Find the coherence bandwidth°fthis channel (assume 90% correlation). Note that it may be a function oftd and e Find the frequency response...
Communication system
7- What is the main function of the analog front end (why it is needed and what does it do)? 8- What are the main channel effects? 9- What is the reason for exitance of noise and where exactly it happens physically in the system? 10- Draw a block diagram that represents the channel effect. 11- Write an the expression of the received signal, y(t), given that the transmitted signal is x(t), the channel effect is h(t) and...
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system is given by: 1+0.6z1-0.5z1 i Does the system have a finite impulse response (FIR) or infinite 3 impulse response (IIR)? Explain why. ii Determine the impulse response h[n] of the above system iii) Suppose that the system above was designed using the bilinear transformation method with sampling period T-0.5 s. Determine its original analogue transfer function.
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
Question One (a) The Impulse Response of a second order system is given by h(t) where: h(t) 4000e 3000 c0, where the time, t, is given in milliseconds (ms) and h(t) is considered to be the resulting voltage in volts. 0) Derive the Transfer Function, the Laplace Transform H(s) of h(t). () Using part (0). write out the Frequency Response, HGo), of the second order (ii) Express the Frequency Response obtained in part (i) as a single response system. and...
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...
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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