do not use z-transform, laplace transform
do not use z-transform, laplace transform . A DT signal is defined by Sketch the magnitude and phase of the DTFT of . A DT signal is defined by Sketch the magnitude and phase of the DTFT of
b.) Find the unilateral Laplace transform of the signal z(t) defined as follows x(t) = [e-5* u(t)] * [(t – 2) ult – 2)]
Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase spectra x(t) -4? -2? 2? 2 The exponential Fourier series of r(t) is n=0 -98 sin n- Odd 2 0, n- Even
(a) (i) What is the relationship between DTFT (Discrete Fourier Transform) and the z- Transform?! (ii) x[n] = a[n-M + 1].u[-n] 1. Sketch x[n]. 2. Find the 2-transform X(z) of x[n]. 3. Find the DTFT X(w) of x[n]. 4. Sketch |X(w) vs w. Indicate all the important values on your diagram.
Using the course Matlab dtft function compute the magnitude, and phase for the following discrete-time signal а) x(п) -п(09)[«(п)-и (п-21)] F [(a) -и (п- 40)] b) x (п) - =coS n 10 4 u -- Using the course Matlab dtft function compute the magnitude, and phase for the following discrete-time signal а) x(п) -п(09)[«(п)-и (п-21)] F [(a) -и (п- 40)] b) x (п) - =coS n 10 4 u --
Lab #2 Discrete-time Fourier Transform (DTFT) OBJECTIVES: • Explore the DTFT, its meanings and concepts. • Get acquainted with Matlab/Octave 1) Start MATLAB and change the “Current Directory” in the top of the window (or type) >> cd '' (example: >> cd 'C:\NIU\lab2') Alternatively, if you don't want to use MATLAB, you can open a web-browser and go to “octave-online.net”. 2) Download and execute LAB2forStudent_A.M with >> lab2forStudent_A and observe that it produces a Discrete-Time (DT) signal xVec. 3) TO...
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t ≥ 0. Then the integral ℒ{f(t)} = ∞ e−stf(t) dt 0 is said to be the Laplace transform of f, provided that the integral converges. Find ℒ{f(t)}. (Write your answer as a function of s.) ℒ{f(t)} = (s > 0) Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform et f be a function defined for t2 0. Then the integral is said to be the Laplace...
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
2. (25p) Find the Fourier transform of the following signal. Sketch the amplitude phase spectrum of the signal. x(1) 1 -2 2
Please EXPLAIN each step Problem 3: (Laplace transform) Find the signal z(t) if you know that its Laplace transform
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L {f(t)} = estf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. L {f(t)} = (s > 0) f(t) (2, 2) 1 1