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  • Q1: After executing the instruction, ASRS r1, r2,#5, what decimal value is contained inregister r1 assuming that the value in registerr2 is -26000 (decimal negative). Give youranswer in decimal, not hexadecimal.See Answer
  • Q2: \text { In terms of a DAC define resolution, range, precision, monotonic }See Answer
  • Q3: .Write C code that increments a variable, but forces it to a range of 0 to 31 (0,1,2,3, ... 29,30,31,0,1,2,..)See Answer
  • Q4:It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m₁(t) and m₂(t) be two message signals, and let u₁(t) and u₂(t) be the corresponding modulated versions. Show that if m₁(t) + m₂(t) frequency modulates a carrier, the modulated signal is not equal to u₁(t) + u₂(t).See Answer
  • Q5:an angle modulated signal is s(t) = 100 cos(2π fet + 4 sin 2 fmt), where the carrier frequency is fe = 10 MHz and the frequency of the message signal is fm = 1000 Hz. 1. Assume that s(t) is a FM signal. Find its modulation index and effective bandwidth. 2. Assume that s(t) is a PM signal. Find its modulation index and effective bandwidth.See Answer
  • Q6:Find the smallest value of the modulation index in an FM system that guarantees that all the modulated signal power is contained in the sidebands and no power is transmitted at the carrier frequency.See Answer
  • Q7:FM demodulation can be implemented by a differentiator followed by an envelope detector (as shown below). See Answer
  • Q8:9 10 Which type of modulation technique is used for the signal illustrated below: Which type of modulation technique is used for the signal illustrated below:See Answer
  • Q9:Q1. Determine the signal space representation of the four signals sk(t), k = 1, 2, 3, 4, shown below by using as basis functions the orthonormal functions o(t) and 2 (t). Plot the signal space diagram, and show that this signal set is equivalent to that for a four-phase PSK signal. (1) $2(1) 1-1-10 1.10 $₁,(1) $2(1) S4(1) 0 Q2. Consider the two 8-point QAM signal constellation shown below. The minimum distance between adjacent symbol is 2 in both constellations. (-2,2) (2,2) Constellation A $3(1) (2,-2) (-2./3) (013) (2,3) (0,√3) (-1,0) (1.0) (2.-√3) Constellation B i Determine the average transmitted energy per symbol for each constellation, assuming that all the signal points in each constellation are equally likely. ii Which of the above two constellations would you prefer to use on an AWGN channel and why?See Answer
  • Q10:5 6 Consider the 8-PSK constellation shown in the figure. Where d is the distance between two signal points and the circle's radius is 2. Find the distance d. A QPSK has the transmitted waveforms S₁ (t) = 4 cos (2nfet +) where i = 0,1, 2, 3 and 0 < t < Ts Draw its signal space diagram.See Answer
  • Q11:Problem 2: 2.4 (a) Consider two signals of duration 7 seconds: 40(1) = 91(1) = 40(1) = √√COS(2 √cos(2 91(1) = Determine the minimum separation between fo and f₁ so that po(t) and 4₁ (t) are orthogonal. You may assume that (fo + fi)T » 1. (b) Consider two signals of duration Ţ seconds: √ cos(2лfot)pr(t) √ cos(2лfit)pr(t). cos(2л fot)pr (1) sin(2л fit)pr(t). Determine the minimum (nonzero) separation between fo and f₁ so that yo(t) and ₁(1) are orthogonal. You may assume that (fo+fi)T » 1./n(c) Consider two sets of orthogonal signals of duration 7 seconds. Signal set one consists of signals po(t) and ₁(1): 40(t) = 91(1): Signal set two consists of signals o(t) and ₁(1): 40(t) = cos(2л fot) pr (t) √ 4/1(1): sin(2л fot)pr (t). cos(2л fit)pr (1) √ sin(2лf₁t)pr(t). Determine the minimum separation between fo and f₁ so that either signal in signal set 1 is orthogonal to any signal in signal set 2. You may assume that (fo + fi)T » 1.See Answer
  • Q12:Problem 3: 2.5 A filter has impulse response h(t) shown in Figure 2.68. h(t) = -pr(t) + pr(t – T) + pr(t − 2T) - pr(t - 3T) + pr(t - 4T) - pr(t – 5T) – pr(t – 6T) 129 Note that each pulse lasts Ţ seconds since the plot has a scale of t/T. (a) The input x(1) to the filter is a single rectangular pulse of duration T. Find the output of the filter. Plot this from time-T to time 9T. (b) Using the result above and superposition (linearity principle), find the output due to the sequence of pulses shown in Figure 2.70. Plot the output from time - 1 to time 15T./nh(t) Figure 2.68 Figure 2.68 Impulse response for Problem 2.5. t/T LySee Answer
  • Q13:Problem 4: 4. Gram-Schmidt [9 points] Consider a set of four signals given by Sm(t) 2 for 0 < t < (m + 1), and m = 0,1,2,3. Sm(t) = 0 otherwise. Using Gram-Schmidt orthogonalization procedure find an orthonormal set of signals m(t), for m = 0, 1, 2, 3 such that each of the original signals can be written as a lincar combination of them.See Answer
  • Q14:Problem 6: 6. OFDM Simulation [25 points] In this problem you will simulate a communication system using OFDM. Start with the simula- tion sim1.m (on Canvas). (a) Generate two data waveforms, si(t) and s2(t) with different data streams. (b) Combine the two streams mixed onto two different carriers at frequency fa = 8 Hz and fb = 12 Hz. s(t) = $1(t)√2 cos(2π fat) + s2 (1)√2 cos(27 fit). (c) Add noise n(t) with signal-to-noise ratio Eb/No = 30 dB. (d) Before filtering the received signal, mix down to baseband by multiplying by √2 cos(2n fat) and √2 cos(27 fit). (e) Filter each of the two signals after mixing down with a matched filter (a filter with the same impulse response) as used in generate the waveforms, namely a filter with impulse response pr(t) where T = 1 second./nTurn in the following: (a) Your Matlab code (b) A figure showing the data signal si(t) in the time domain and S₁(f) in the frequency domain. (c) A figure showing the signal s(t) in the time and frequency domain. (d) A figure showing the noise signal in the time and frequency domain. (e) A figure showing the received signal in the time and frequency domain. (f) A figure showing the output of the receiver filter (time domain and frequency domain) for the first data stream. Overlay the time domain plot with the original data signal (si(t)). (g) A figure showing the output of the receiver filter (time domain and frequency domain) for the second data stream. Overlay the time domain plot with the original data signal (s2(t)).See Answer
  • Q15:1. [20 points] Consider the signal g(t) = ² over the interval (-1,1) and its periodic extension. (a) Find the exponential Fourier series (F.S.) for g(t). (b) From the exponential F.S., plot the amplitude and phase spectrum. (c) Find the compact trigonometric Fourier series for g(t). (d) Plot the approximated signal you obtain via the Fourier Series with (i) the DC component only; (ii) up to the first harmonic, and (iii) up to the second harmonic. (e) Using Parseval's theorem (for exponential Fourier Series of this g(t)), prove that n=1 90See Answer
  • Q16:3. [40 points] Find the exponential Fourier Series of the following signals (assuming periodic extensions): { (b) g(t) = et, -2≤t≤2 (c) g(t) = t³, -1≤t≤1 (d) g(t) = 3 cos (2t) + 7 sin(8t + n/3) + 17 cos(12t - π/6) (a) g(t) = -t if -1 < t < 0, if 0 < t < 1See Answer
  • Q17:4. [20 points] Let us consider a periodic signal g(t) with complex (exponential) F.S. coefficients denoted by {Dm}, where n = 0, +1, +2,.... (a) Find F.S. coefficients for g(t+to), for some constant to. (b) Find F.S. coefficients for g(at), for some real valued constant a. (c) Prove that if g(t) is a real valued signal, then F.S. coefficients satisfy conjugate symmetry, i.e., Dn = Dn (d) Prove that if g(t) is an even signal, then F.S. coefficients are also even, i.e., D₁ = D-n- (e) Prove that if g(t) is an odd signal, then F.S. coefficients are also odd, i.e., Dn=-D-n.See Answer
  • Q18:KD5066 Assignment - 2023/24 Analog Communications Produce a report describing each section. Include equations, schematics and results where necessary. Part A: Analog Communications Review Modulation methods within Analog Communications have evolved considerably over the last century. Produce a report outlining the key analog modulation methods. Within your report discuss each of the major techniques. You are required to describe the operation of each technique, how to generate each technique and the major advantages and disadvantage of each technique. (As a guideline this should be approximately 1000 words) Part B: Single Audio Signal Transmission An audio signal described below is to be transmitted using a radio signal. V=2cos (27*10³) t Propose 3 different ways to do this. Include choice of frequency, carrier frequency, bandwidth, modulation index, etc. Compare the advantages and disadvantages of each type and suggest the most appropriate method - justify all decisions. Part C: Multiple Audio Signal Wireless Transmission Three audio signals described below is to be transmitted on the same wireless channel. Signal 1 has a frequency response from 2KHz to 4KHz Signal 2 has a frequency response from 2KHz to 4KHz Signal 3 has a frequency response from 4KHz to 8KHz Design a system to achieve this. You should include the frequency response at each stage. You should also justify all key decisions.See Answer
  • Q19:Coursework Title: Analog Communications Module Information Module Title: Communication Systems Assignment Brief Clear statement of the work that students are expected to undertake: The assignment will be based upon analog communication. A single report is required to include the following sections: 1) Title 2) Author 3) Part A: Analog Communication Review 4) Part B: Single Audio Signal Transmission 5) Part C: Multiple Audio Signal Wireless Transmission Assessment Criteria/Mark Scheme: Marks will be assigned according to the following criteria The relative weighting is shown below: Part A - 30% Part B -30% Part C-30% Report Presentation-10%/nKD5066 Assignment - 2023/24 Analog Communications Produce a report describing each section. Include equations, schematics and results where necessary. Part A: Analog Communications Review Modulation methods within Analog Communications have evolved considerably over the last century. Produce a report outlining the key analog modulation methods. Within your report discuss each of the major techniques. You are required to describe the operation of each technique, how to generate each technique and the major advantages and disadvantage of each technique. (As a guideline this should be approximately 1000 words) Part B: Single Audio Signal Transmission An audio signal described below is to be transmitted using a radio signal. V₁=2cos (27+10¹ t Propose 3 different ways to do this. Include choice of frequency, carrier frequency, bandwidth, modulation index, etc. Compare the advantages and disadvantages of each type and suggest the most appropriate method - justify all decisions. Part C: Multiple Audio Signal Wireless Transmission Three audio signals described below is to be transmitted on the same wireless channel. Signal 1 has a frequency response from 2KHz to 4KHz Signal 2 has a frequency response from 2KHz to 4KHz Signal 3 has a frequency response from 4KHz to 8KHz Design a system to achieve this. You should include the frequency response at each stage. You should also justify all key decisions.See Answer
  • Q20:Question2: Transistor Modeling (30pt) Derive a weakly nonlinear model of a single BJT whose equation is Ic-Is(eVbe/VT -1). The input is a base-emitter voltage, and the output is collector current. Find the IIP3 and P1dB in dBm. Note VT and Is are constants.See Answer

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