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- (i) A Gaussian channel has 1 MHz bandwidth. Calculate the channel capacity if the signal power to noise spectral density ratio (S/ⴄ) is 105 Hz. Also, find the maximum information rate. (ii) Apply Shannon-Fano coding procedure for the following ensemble and find the efficiency of coding. Implement the procedure for M = 2 and M = 3, both cases. [X] = [ x1 x2 x3 x4 x5 x6 x7 ][P] = [ 0.4 0.2 0.12 0.08 0.08 0.08 0.04 ]Please provide Handwritten answer. 2) When k=17, a=1, b=0.5, determine the stability using the Nyquist criteria.What is the ROC of the signal x(n)=δ(n-k), k>0?a) z=0b) z=∞c) Entire z-plane, except at z=0d) Entire z-plane, except at z=∞
- Transfer function of the pulmonary system that represents alveolar pressure PA to Pao is given by H(s)=(0.8∗8,5)/(s^2+4s+8,5) . for Pao = 5 mmH2O, PA at steady-state is …… mmH2OREQUIRES Z11Z12Z21Z22Z and Y relationANSWER THE FOLLOWING QUESTIONS Given the closed loop system, what is the forward transfer function? a. 0.1Ks b. 0.1 c. K / [(1 + K)s + 1] d. 0.1K / [(1 + K)s + 1]
- Prove the Divergence Theorem.( need handwritten only ,otherwise downvote.)As an engineer, you are required to generate an FM signal using a single tone sinusoidal signal of frequency, fm with the modulation index of 1.5. Sketch the frequency spectrum of the FM signal and determine the total power contained in the frequency range fc-2 fm to fc + 2 fm - given the carrier voltage is 12 V and the load resistor is 1202solve only question 1.b 1.a) Calculate the bandwidth and baud rate for an FSK signal with mark frequency 34 kHz, space frequency 26 kHz, and input bit rate 2 kbps. Use the calculator for bandwidth. 1.1 Using a table of Bessel functions, determine the minimum bandwidth for the FSK signal from the previous problem (Problem 1.a). Remember that the significant bands are taken for those with amplitude > 1%. Since the table is normalized (Jo=1 at most), the significant sidebands are those with amplitude > 0.01). -- Indications: In your answer, place the result without the units and expressed in kilohertz
- Consider a stable LTI system with input x(n) and output y(n). The zero-pole pattern of y(n)consists of a double zero at the origin of the z-plane and the poles 3 ± 3j. The zero-pole pattern ofx(n) consists of a double zero at the origin of the z-plane. Find the system function and the systemimpulse response.Given the sequence of x[n] = {-1, 2, -1} where the underlined number corresponds to when the sequence is n=0, what is the correct spectrum of sequence of x[n]? (in mathematical form/equation form)1a) check whether s=-0.2+j0.937 is on the root locus or not? (Graphically as well as analytically) b) If s=-0.2+j0.937 is on the root locus determine the value of gain K at that point.