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Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2)....
Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are sent over an AWGN channel, what is the opt...
Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are sent over an AWGN channel, what is the optimum receiver to minimize the probability of error in decoding the symbols?
Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission of two equiprob able messages. The transmitted signal is s(t), i e {1,2} and the recieved signal is r(t) s(t)+n(t), where nit) is the AWGN with power-spectral density No/2. 1. In a block diagram, give the precise specifications of the optimal receiver. What are the characteristics of the matched filter and the sampler and decision device? 2. Find the error probability of the optimal...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
2. A signal r, t) is passed through a linear filter whose impulse response is he)....
2. A signal r, t) is passed through a linear filter whose impulse response is he). The output signal ro (t) of the linear filter is sampled at the symbol period of T. he signal r,(t) is given as (t)t)+n and the n(t) is the AwGN with noise variance of σ-N0/2. Note that s(t) is a complex signal. You have to show your work in detail for the full credit. n(t) where s(t) has the energy of E (a) Derive...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure 2. The symbol D represents a duty cycle, a number between zero and one. Determine the compact trigonometric Fourier series coefficients (Co C,11 %) of the signal f(t). 2. (10 points) One use of PWM is to generate variable DC voltages. While the PWM signal is not DC, you should be able to see from your results in part 1 that it hss a...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN....
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are sent over an AWGN channel, what is the optimum receiver to minimize the probability of error in decoding the symbols?
Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission of two equiprob able messages. The transmitted signal is s(t), i e {1,2} and the recieved signal is r(t) s(t)+n(t), where nit) is the AWGN with power-spectral density No/2. 1. In a block diagram, give the precise specifications of the optimal receiver. What are the characteristics of the matched filter and the sampler and decision device? 2. Find the error probability of the optimal...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
2. A signal r, t) is passed through a linear filter whose impulse response is he). The output signal ro (t) of the linear filter is sampled at the symbol period of T. he signal r,(t) is given as (t)t)+n and the n(t) is the AwGN with noise variance of σ-N0/2. Note that s(t) is a complex signal. You have to show your work in detail for the full credit. n(t) where s(t) has the energy of E (a) Derive...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure 2. The symbol D represents a duty cycle, a number between zero and one. Determine the compact trigonometric Fourier series coefficients (Co C,11 %) of the signal f(t). 2. (10 points) One use of PWM is to generate variable DC voltages. While the PWM signal is not DC, you should be able to see from your results in part 1 that it hss a...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
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