HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a)...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Show from first principles that the Laplace transform of the function (0)=1, a 20 is f(3) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t): f(t) = e-3t.sin(4t) OR Find the inverse Laplace transform of the following: ses f(s) =...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Draw the block diagram representation of the discrete-time system Yk+2+ Yk+1 +0.5yk = Ux (8 Marks) b) Find the impulse response of the system with the z transfer function; Z G(z) = 22 + 3z + 2 c) Use z-transforms to solve the following difference equation; 6Yk+2 + Yk+1 - Yx = 3 subject to yo = y1 = 0
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) A discrete-time filter is defined by the difference equation; Vk - 0.5yk-1= xk Describe the filter response to a unit step input applied at k = 0, for the range 0 Sk <5. (8 Marks) b) Show from first principles the z-transform of the following; i. Z{e-k), where k = 0,1,2... c) Draw a block diagram to represent the system modelled by the difference...
Hi, I am doing some revision on Fourier Transform on my own and I got stuck on this question for five days now. Wonder if you can help me. Engineering Mathematics 4E, Anthony Croft Ex, 24.8 Q1 I want to understand how to set the lower and upper bound in each "range" by applying the floating "t" value. And how does sliding the triangle or the square block affect the convolution process. Does fourier transform gives us greater flexibility than...
hi i need help with the following & can you please put solutions in syntax form 1). f(t) satisfies the integral equation: Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t) = 2). A signal f(t) has a Fourier transform given by Use Parseval's theorem to find the total energy content of the signal. Your answer can be expressed as a number accurate to...
Please give me a step-by-step solution for this with use of "the convolution theorem"! 18. Find 18. Find (6) - · Asa ਭੂt coast + sin $t ਮੈਗ , ( 3 . 79. Find A8. (a) ਮੈਂ (3 - 2) sin t - 3t cost}, (b) ਛੰst(sin 2t - 2t cog 2t)
Answers are: 9. (a) Use the Tables of Fourier transforms, along with the operational theorems, to find the inverse Fourier transform of iw 4 + 9 w2 9 w2 (b) The function f(t) satisfies the integral equation: OO -4u Н(u) du + 6sgn(t) е З, f(t) 0- ft - u) е" = 4 e -OO Find the Fourier transform of the function f(t) and hence find the solution f(t) 7 "(1-)н, (b) Transform the equation by using the convolution Theorem:...
i need these 2 question please it will be helpful thank u Document your solution to each problem. Clearly identify each step when solving a problem. 1. Find the Laplace transform off(t) when, K = 1. T1 =-27, =-1,73 = 1 and T.-3. 수 f(t) 2K 2. For the following functions, compute the Laplace transforms. You can use the tables for this question. a. f(t) (t) -2u(t) +u(t 1) b. g(t) 3e-C-u(t - 1) c. h (t) = 3 sin(t)...
8. (a) Find the Fourier transform of the signal by direct integration. f(t) = ((t-5)+e-Y(-5))u(t-5) (5 points) (b) Use the convolution theorem of Fourier transform, find the convolution of the following signals: (5 points) x(t) = 5e-4tu(t) and h(t) = 7e-3tu(t)