Please answer in MATLAB
z = 3-4j
mag= abs(z) %magnitude
Ph = angle(z) %phase angle
z2 = 2.5*(cosd(60)+1j*sind(60)) %to rectangular form
Determine the magnitude of the complex number z = 3 – j * 4 using the...
Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45o). Plot this number as a vector on the complex plane (make sure to input the phase angle in MatLab in radians). Determine the magnitude of the complex number z = 3 – j * 4 using the complex conjugate notation and determine its phase angle. Convert the complex number z = 2.5 * e ^ (j * 60o) to the rectangular notation using the...
2
Problem 2: Let z = a + jb be a complex number. (In this course, we use j instead of the more common notation i for the imaginary unit.) Write z as z=rel and determine the magnitude and phase of z in terms of its real and imaginary parts. (10 points)
>> 4+ j*3 % or you can type 4+i*3
is the complex number with real part 4 and imaginary part 3.
Explore the functions abs and angle to plot the magnitude and phase
of following complex valued function.
Comment, on output of the phase when using the
unwrap function.
Can you please include comments to help me understand what that
line of code is doing.
t) = t exp (-4
Matlab Question#1: Determine the discrete-time Fourier transform of x(n) (0.8y'n u(n)+(0.1)'n u(n) Evaluate Xei) at 501 equispaced. points between [0,pi] and plot its magnitude, angle, real, and imaginary parts Matlab Question#2: Determine the discrete-time Fourier transform of Evaluate Xei) at 1001 equispaced points between [0pi] and plot its magnitude, angle, real, and imaginary parts. Matlab Question#3: Compute the FT values at the prescribed frequency points and plot the real and imaginary parts and the magnitude and phase spectrums. The FT...
Express the complex number z= in polar form
เรเเ uLliuus. ru eaa. yusuun, suuw au wurx eauug to an answer and simpiny as mucn as reasonably 1. Express the complex number 7-4i in polar form. Limit its phase to the interval [0, 2m) in radians. 2. A particular complex number z satisfles the eqio z+ 1 Solve this equation and express your answer in the rectangular form a +iy, where z and y are respec tively the real and imaginary...
For the complex number given as: z = a + bi / c+di where i = √−1 is the imaginary unit. The parameters are defined as a = √2, b = 0, c = 0.5 and d = −0.5. (a) Find the real and the imaginary parts of z, and then draw the Argand dia- gram. (Hint: Use the conjugate of the denominator.) 2.5 (b) Based on the Argand diagram, find the distance r of the complex number z from...
Problem 4 A complex number (w) is given as a function of the variable w as 2+ jw X(w) = 3 + j4w (a) Express X(w) in rectangular form and find real and imaginary parts (a) Express X(w) in polar form, and find its magnitude X(w) and its angle.
*18% 8:30 Working with Phasors and Using Complex Polar Notation in MATLAB By default, MATLAB accepts complex numbers only in rectangular form. Use i or j to represent the imaginary number. Type the following expressions >> in Matlab and print out the results ans = >> 5+41 ans = A number in polar form, such as (2245), can be entered using complex exponential notation. The angle must be converted to radians when entering numbers in complex exponential form: >> X...
Al. Practice with complex numbers: Every complex number z can be written in the form z r + iy where r and y are real; we call r the real part of z, written Re z, and likewise y is the imaginary part of z, y - Im z We further define the compler conjugate of z aszT-iy a) Prove the following relations that hold for any complex numbers z, 21 and 22: 2i Re (2122)(Re z) (Re z2) -...
III) Perform the following complex number conversions (a) convert the complex number Zi- 3+j4 to polar form tb) convert the complex number Z2-4 e0 to polar and rectangular form Hint: Z2-rexponential form. form IV What are the phase relationship between the sinusoidal waveforms brelow: v=4sin (wt + 50) i 6 sin (wt + 40) (b) v 2 cos (wt 30) i 5 sin (wt60)