SATELLITE‚ MOBILE AND PERSONAL COMMUNICATION ASSIGNMENT =CONTENTS= PROBLEM NUMBER PAGE NUMBER 1 3 2 5 3 7 4 8 5 10 3.30 12 3.31 14 3.32
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this examination and that I have reported all such incidents observed by me in which unpermitted aid is given.” Signature Name Student ID Question 1: [4 points] Consider a linear time-invariant (LTI) system with impulse response h(t) whose Fourier transform is H(f ) = ∧(f ). Recall that ∧(f ) is non-zero only from f = −1 to f = +1. Find the output of the system if the input is: (a) x(t) = sin 0.5πt Solution: ∧(0.25) sin 0.5πt = 0.75 sin 0.5πt (b) x(t) = cos 10πt Solution: ∧(5) cos 10πt = 0 Question
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Fourier Series Fourier series started life as a method to solve problems about the flow of heat through ordinary materials. It has grown so far that if you search our library’s data base for the keyword “Fourier” you will find 425 entries as of this date. It is a tool in abstract analysis and electromagnetism and statistics and radio communication and . . . . People have even tried to use it to analyze the stock market. (It didn’t help.) The representation of musical sounds as sums of waves of various
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scalloping in the two-ray result‚ with an envelope that decays twice as fast (on log-log scale) as the free-space result. 2. (10) Given an RF pulse s(t) = 10−3 rect( t ) cos(2π870 · 106 t + π/6) volts .001 (2) • find S(f )‚ the Fourier transform‚ and sketch the energy density spectrum in the frequency domain • Find the complex envelope s(t) with respect to the reference cos(2π870 · 106 t). ˜ • find the energy delivered to a 50 Ω load 3. (Additional assignment for ECE 6784 group
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Course reviews and continues the study of differential equations with the objective of introducing classical methods for solving boundary value problems. This course serves as a basis of the applications for differential equations‚ Fourier series and Laplace transform in various branches of engineering and sciences. This course emphasizes the role of orthogonal polynomials in dealing with Sturm-Liouville problems. 2. Text Book: Simmons G.F.‚ Differential Equations with Applications and Historical
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02XXX-WTP-001-A March 28‚ 2003 NRZ Bandwidth (-3db HF Cutoff vs SNR) How Much Bandwidth is Enough? White Paper Introduction A number of customer-initiated questions have arisen over the determination of the optimum bandwidth for any transimpedance amplifier and subsequent filter employed in a fiber optic receiver module using NRZ coding. When asked what the optimum bandwidth for such a system‚ most engineers will respond with a number between 0.7 and 0.75 times the NRZ bitrate. The real answer
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AFFILIATED INSTITUTIONS ANNA UNIVERSITY‚ CHENNAI R-2008 B.E. MECHATRONICS ENGINEERING II - VIII SEMESTERS CURRICULA AND SYLLABI SEMESTER II SL. COURSE No. CODE THEORY 1. HS2161 2. MA2161 3. PH2161 4. CY2161 5. a ME2151 5. b 5. c 6. a 6. b EE2151 EC2151 GE2151 GE2152 COURSE TITLE L T P C Technical English – II* Mathematics – II* Engineering Physics – II* Engineering Chemistry – II* Engineering Mechanics (For non-circuit branches) Circuit Theory (For branches under Electrical Faculty) Electric
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OF SCIENCE UNIVERSITI TEKNOLOGI MALAYSIA SSCE 1793 DIFFERENTIAL EQUATIONS 1. TUTORIAL 3 Use the definition of Laplace transform to determine F (s) for the following functions. a. f (t) = 5e5t . c. f (t) = sinh 4t. e. f (t) = g. f (t) = t‚ 5‚ 0 4. t e ‚ 0 < t < 2 h. f (t) = 0‚ 2 < t < 4 5‚ t > 4. f. f (t) = sin 2t‚ 0 < t < π 0‚ t > π. 2. Use the Laplace transform table to find F (s) for the given function. a. f (t) = 2 sin t + 3 cos 2t. c. f (t) = 2t2 − 3t + 4. e. f (t) = e−2t sin 5t
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1 Singularity functions 1-2-1 The unit-step function The continuous-time unit-step function The continuous-time unit-step function is denoted as u ( t ) and is defined mathematically by: 0‚ u (t ) = 1‚ for t < 0 for t ≥ 0 which have the zero amplitude for all t < 0 and the amplitude of 1 for all t ≥ 0 ‚ and its plot is shown in Figure 1-10 u (t ) 1 0 t 2 Fundamental of signal processing Figure 1-10: The continuous-time unit step function The discrete-time unit-step
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Electronics and Communications Engineering Electronics and Communications Engineering LBYEC33 Feedback and Control Systems Laboratory Research Paper Section: EK2 Group Number: 5 Date Submitted: August 5‚ 2013 Submitted by: Professor: Dr. Aaron Don M. Africa 1. Abigail Cleo V. Tom 2. Hazel Mae M. Garcia Grade: _____________ Instructor’s Signature: ______________ Remarks:
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