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A discrete-time discrete-amplitude sequence s[n] is stored on a noisy medium. The retrieved sequence is n. Suppose...
Problem 2 A discrete-time discrete-amplitude sequence s[n] is stored on a noisy medium. The retrieved sequence is n...
Problem 2 A discrete-time discrete-amplitude sequence s[n] is stored on a noisy medium. The retrieved sequence is n. Suppose at some particular time instant o, we have s[nol and no modeled as random variables, which we shall simply denote by S and R, respectively, i.e., s-s[no] and R-no]. From prior measurements, we have determined that S and R have the joint probability mass function (PMF) shown in the following figure: -1 -1 Note that the measurements have a uniform distribution...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
Problem 5. Indicator variables S points possible (graded) Consider a sequence of n 1 independent tosses...
Problem 5. Indicator variables S points possible (graded) Consider a sequence of n 1 independent tosses of a biased coin, at times k = 0,1,2,...,n On each toss, the probability of Heads is p, and the probability of Tails is 1 -p {1,2,.., at time for E resulted in Tails and the toss at time - 1 resulted in A reward of one unit is given if the toss at time Heads. Otherwise, no reward is given at time Let...
Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many d...
Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many distinct harmonics can be present in x[n]?--for this fundamental frequency. 5. How many harmonics are actually in x[n]? Trying to prepare for finals, its crunch time, thank you for your help! r[n] = 2sin(n-) + cos(n-) r[n] = 2sin(n-) + cos(n-)
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a)...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a) Compute the DTFT of n b) Compute the DFT4 (DFT with N 4) coefficients for zn], i.e., Xk for k 0,1,2,3. c) Compute the DFTs (DFT with N-8) coefficients for r[n], i.e., Xk for k 0,1,...,7.
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(...
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(t) (t) into a discrete-time signal yn] where we sample the signal every t= nT, seconds for n a. Determine the frequency fo of the cosine in Hertz and its corresponding period (T = 1/fo). b. Plot the continuous signal rt) for t = [0,4T] seconds so that four periods of the signal are plot command) plotted (use the (0, 1, 2,...
Suppose that r(l) is a band-limited signal with the bandwidth W. Suppose that we sampled this...
Suppose that r(l) is a band-limited signal with the bandwidth W. Suppose that we sampled this signal with the sainpling interval T, to generate the sample sequence 1 TLI suppose that 2n/T is larger than the Nyquist rate 2W Given rn, we reconstructed a conius time signal ( using the zero-order-hold method. In other words, rr(l) n for L E [nT, (n +1)T;). In the last lecture, we derived that where s(), as usual, denotes the continuous time representation of...
Kirby-Bauer Test time-lapse with E. coli and S. aureus Elapsed Time: 24 hours coll Il 0...
Kirby-Bauer Test time-lapse with E. coli and S. aureus Elapsed Time: 24 hours coll Il 0 :18/1:11 Ampicillin Gentamicin Neomycin Vancomycin Tetracycline Bacitracin Trimethoprim/ Sulfamethoxazole Optochin Penicillin Erythromycin Streptomycin Amoxicillin/ Clavulanic Acid E. coli HD Q : II 0 - 0:33/1:11 3. Which of your organisms appears more susceptible to penicillin? 4. Which of your organisms appears difficult to treat with the selected antibiotics? 5. What is the difference between G+ and G-in reference to the selected antibiotics? 6. Which...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
Problem 2 A discrete-time discrete-amplitude sequence s[n] is stored on a noisy medium. The retrieved sequence is n. Suppose at some particular time instant o, we have s[nol and no modeled as random variables, which we shall simply denote by S and R, respectively, i.e., s-s[no] and R-no]. From prior measurements, we have determined that S and R have the joint probability mass function (PMF) shown in the following figure: -1 -1 Note that the measurements have a uniform distribution...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
Problem 5. Indicator variables S points possible (graded) Consider a sequence of n 1 independent tosses of a biased coin, at times k = 0,1,2,...,n On each toss, the probability of Heads is p, and the probability of Tails is 1 -p {1,2,.., at time for E resulted in Tails and the toss at time - 1 resulted in A reward of one unit is given if the toss at time Heads. Otherwise, no reward is given at time Let...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a) Compute the DTFT of n b) Compute the DFT4 (DFT with N 4) coefficients for zn], i.e., Xk for k 0,1,2,3. c) Compute the DFTs (DFT with N-8) coefficients for r[n], i.e., Xk for k 0,1,...,7.
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(t) (t) into a discrete-time signal yn] where we sample the signal every t= nT, seconds for n a. Determine the frequency fo of the cosine in Hertz and its corresponding period (T = 1/fo). b. Plot the continuous signal rt) for t = [0,4T] seconds so that four periods of the signal are plot command) plotted (use the (0, 1, 2,...
Suppose that r(l) is a band-limited signal with the bandwidth W. Suppose that we sampled this signal with the sainpling interval T, to generate the sample sequence 1 TLI suppose that 2n/T is larger than the Nyquist rate 2W Given rn, we reconstructed a conius time signal ( using the zero-order-hold method. In other words, rr(l) n for L E [nT, (n +1)T;). In the last lecture, we derived that where s(), as usual, denotes the continuous time representation of...
Kirby-Bauer Test time-lapse with E. coli and S. aureus Elapsed Time: 24 hours coll Il 0 :18/1:11 Ampicillin Gentamicin Neomycin Vancomycin Tetracycline Bacitracin Trimethoprim/ Sulfamethoxazole Optochin Penicillin Erythromycin Streptomycin Amoxicillin/ Clavulanic Acid E. coli HD Q : II 0 - 0:33/1:11 3. Which of your organisms appears more susceptible to penicillin? 4. Which of your organisms appears difficult to treat with the selected antibiotics? 5. What is the difference between G+ and G-in reference to the selected antibiotics? 6. Which...
B oth 100 Day PH262 Page 1 of 5 Lab #13 AC Circuits, Part 1 RC & RL, Phase Measurements THEORY The rotating phase representation for series AC circuits should be familiar from textbook and lecture notes A brief outline of the essential points is provided here. If a series RLC circuit is connected across a source of om which is a sinusoidal function of time, then und all its derivatives will also be inside. Sonce all demits in a...
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