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13-5. A wireless channel frequency response is given by 0.5(-10/10 10°1.002(10) 0.5e-0.5-10)/10 C...
A wireless service provider transmits a signal s(t) = 5 cos(2π fc t) to a receiver,...
A wireless service provider transmits a signal s(t) = 5 cos(2π fc t) to a receiver, where fc is a variable carrier frequency. The impulse response of the channel linking transmitter and receiver is c(t) = 0.80δ(t − Td ) − 0.47δ(t − T1 ) where Td = 270 nsec, T1 = 430 nsec, and “nsec” = 10 − 9 sec. (a) Compute the simplest math expression for the magnitude-squared frequency response |C(f)|2. (b) Suppose the service provider is allocated...
A wireless service provider transmits a signal s(t) = 5 cos(2π fc t) to a receiver,...
A wireless service provider transmits a signal s(t) = 5 cos(2π fc t) to a receiver, where fc is a variable carrier frequency. The impulse response of the channel linking transmitter and receiver is c(t) = 0.80δ(t − Td ) − 0.47δ(t − T1 ) where Td = 270 nsec, T1 = 430 nsec, and “nsec” = 10 − 9 sec. (a) Compute the simplest math expression for the magnitude-squared frequency response |C(f)|2. (b) Suppose the service provider is allocated...
Qodopere -Model -Dodst C Be) o 5 10 (Ms) microsecond a) For the wireless channel whose...
Qodopere -Model -Dodst C Be) o 5 10 (Ms) microsecond a) For the wireless channel whose power-delay profile is given in Figure, calculate RMS delay spread or ? b) Estimate the coherence bandwidths for 90% correlation and 50% correlation? CHint: Beach for 90% , B= for %) © For the following scenarios, determine if the received signal is best described as undergoing fast fading, flat fading or frequency selective fading ? a) A binary modulation has a data rate 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...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum 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...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396]...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
Question 5 (a) The impulse response of a discrete-time filter is given as, hin) 0.56n-1] +n-2)0.5...
Question 5 (a) The impulse response of a discrete-time filter is given as, hin) 0.56n-1] +n-2)0.56 n -3]. i. Derive the filter's frequency response; 11. Roughly sketch the filter's magnitude response for 0 ii. Is it a low-pass or high-pass filter? Ω 2m; (b) A continuous-time signal se(t) is converted into a discrete-time signal as shown below. s(t) is a unit impulse train. s(t) x,) Conversion into x(1) __→ⓧ一ㄅㄧ-discrete-time sequence ー→ xu [n] The frequency spectrum of ap (t) is...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t)...
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()] (10%) (a) Obtain the energy spectral density G,(f) for the input signal x(t) (10%) (b) Obtain the energy spectral density G.(f) for the output signal y(t)
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()]...
Qodopere -Model -Dodst C Be) o 5 10 (Ms) microsecond a) For the wireless channel whose power-delay profile is given in Figure, calculate RMS delay spread or ? b) Estimate the coherence bandwidths for 90% correlation and 50% correlation? CHint: Beach for 90% , B= for %) © For the following scenarios, determine if the received signal is best described as undergoing fast fading, flat fading or frequency selective fading ? a) A binary modulation has a data rate 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...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum 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...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
Question 5 (a) The impulse response of a discrete-time filter is given as, hin) 0.56n-1] +n-2)0.56 n -3]. i. Derive the filter's frequency response; 11. Roughly sketch the filter's magnitude response for 0 ii. Is it a low-pass or high-pass filter? Ω 2m; (b) A continuous-time signal se(t) is converted into a discrete-time signal as shown below. s(t) is a unit impulse train. s(t) x,) Conversion into x(1) __→ⓧ一ㄅㄧ-discrete-time sequence ー→ xu [n] The frequency spectrum of ap (t) is...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()] (10%) (a) Obtain the energy spectral density G,(f) for the input signal x(t) (10%) (b) Obtain the energy spectral density G.(f) for the output signal y(t)
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()]...
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