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No.1 (2 points) List the basic properties of Z-Transform. What are differences between Fourier Series and...
I use the Table of Fourier Transform Properties and the Table of Fourier Transform of Basic - functions to find the fourier Transform of (@) *14) = 2text cos (37)ult) (6) x1) = Ž 814-44) nr.
Explain the differences and similarities of a trigonometric Fourier series and a Fourier transform of a square wave Explain why Fourier transforms have negative frequency and the significance Please be as detailed as possible for both points. Thank you
2. Consider the Fourier Transform pair: e11 - 1+ 2 Use the Fourier transform properties to find the Fourier transform of: x(t) = te
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)] 2) (Fourier Transforms Using Properties)...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
(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.
1)What are the differences and similarities between a series and parallel circuit? 2)Briefly describe the properties of the magnetic force? Thanks!!!
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution) 3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
5. (22+2=4") Topic: The z-transform, z-transform properties Use the z-transform properties to determine the z-transform the following signal and specify the region of convergence. x[n]=(1)"u[n]*2":[-n-1]+)?[n-2]
Consider the Fourier transform pair e- 12. (a) Use the appropriate Fourier transform properties to find the Fourier transform of te-tl, (b) Use the result from part (a), along with the duality property, to determine the Fourier transform of 4t (1+t2)2