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1. A 4-ary signal set is given as So(t)-0,0StsT SI(t)-A cos(oot), OStsT Si(t)A sin(oot) + A...
Consider the M-ary signal given by
Consider the M-ary signal given by: 𝑆𝑖(𝑡)=√2𝐸𝑠/𝑇𝑠cos(2𝜋𝑓𝑐𝑡+2𝜋𝑀(𝑖−1))0≤𝑡≤𝑇𝑠 and i=1, 2…MWhere Es is the symbol energy and Ts is the symbol duration. M is the number of symbols. The carrier frequency fc=n/Ts, where n is an integer.a) If M=8 sketch the output signals in the signal space.b) Draw the DBs and DRs and find the distance between the signals.c) Calculate the average transmitted energy.d) Suggest a coherent receiver for this system.e) Given that E = 4 J, Calculate the average probability...
Help me please! Thank you!! 1. Consider the signal set in Figure 1 for binary data...
Help me please! Thank you!!
1. Consider the signal set in Figure 1 for binary data transmission over a channel disturbed by AWGN. The noise is zero-mean and has two-sided PSD No/2. As usual, si(t) is used for the transmission of bit "0" and s2(t) is for the transmission of bit 1." Furthermore, the two bits are equiprobable. Si CC) s2(t) .A 0 Figure 1: A binary signal set, considered in Problem 1 Find and draw an orthonormal basis {фі...
Please With recognizable hand writing. Thank you. Question 2. (40 Points) Consider a BPSK modulation with...
Please With recognizable hand writing. Thank you.
Question 2. (40 Points) Consider a BPSK modulation with 2 signals: 2 where ??(t) and ?1 (t) for t E 10, T,l form a set of orthonormal basis functions. Signals so(t) and si(t) are equiprobable. We suppose that the transmission channel introduces an additive white Gaussian noise n(t). Thus, the received signal is given by r(t) s(t)+n(t), where the additive white Gaussian noise has power spectral density No/2. toT Y-X+N rit) a(t)+n(t) Figure...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt)...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
here is the solution for the question but i need someone help to understand part b please. ф1(t) 2(t) 0. -1 Figure 7: Set of orthonormal basis functions in Problem 4 The signals si(t) and s2(t) a...
here is the solution for the question but i need someone help
to understand part b please.
ф1(t) 2(t) 0. -1 Figure 7: Set of orthonormal basis functions in Problem 4 The signals si(t) and s2(t) are given by 201 (t) +dy(t) s2(t) h2(t) hi(t) (a) Design and draw the matched filter for the system using the above orthonormal basis functions to minimize the BER Result is in Fig. 8. (b) Design and draw the receiver for the system using...
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...
Help me please! Thank you!!
1. Consider the signal set in Figure 1 for binary data transmission over a channel disturbed by AWGN. The noise is zero-mean and has two-sided PSD No/2. As usual, si(t) is used for the transmission of bit "0" and s2(t) is for the transmission of bit 1." Furthermore, the two bits are equiprobable. Si CC) s2(t) .A 0 Figure 1: A binary signal set, considered in Problem 1 Find and draw an orthonormal basis {фі...
Please With recognizable hand writing. Thank you.
Question 2. (40 Points) Consider a BPSK modulation with 2 signals: 2 where ??(t) and ?1 (t) for t E 10, T,l form a set of orthonormal basis functions. Signals so(t) and si(t) are equiprobable. We suppose that the transmission channel introduces an additive white Gaussian noise n(t). Thus, the received signal is given by r(t) s(t)+n(t), where the additive white Gaussian noise has power spectral density No/2. toT Y-X+N rit) a(t)+n(t) Figure...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
here is the solution for the question but i need someone help
to understand part b please.
ф1(t) 2(t) 0. -1 Figure 7: Set of orthonormal basis functions in Problem 4 The signals si(t) and s2(t) are given by 201 (t) +dy(t) s2(t) h2(t) hi(t) (a) Design and draw the matched filter for the system using the above orthonormal basis functions to minimize the BER Result is in Fig. 8. (b) Design and draw the receiver for the system using...
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...
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