>> 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.
Homework Answers
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>> 4+ j*3 % or you can type 4+i*3
is the complex number with real part...
Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45o)....
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...
C++ Addition of Complex Numbers Background Knowledge A complex number can be written in the format of , where and are real numbers. is the imaginary unit with the property of . is called the r...
C++ Addition of Complex Numbers Background Knowledge A complex number can be written in the format of , where and are real numbers. is the imaginary unit with the property of . is called the real part of the complex number and is called the imaginary part of the complex number. The addition of two complex numbers will generate a new complex number. The addition is done by adding the real parts together (the result's real part) and adding the...
5. A complex number consists of two components: the real component and the imaginary component. A...
C++
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5. A complex number consists of two components: the real component and the imaginary component. An example of a complex number is 2+3i, where 2 is the real component and 3 is the imaginary component of the data. Define a class MyComplexClass. It has two data values of float type: real and imaginary This class has the following member functions A default constructor that assigns 0.0 to both its real and imaginary data...
The complex conjugate of (1+i) is (1−i). In general to obtain the complex conjugate reverse the sign of the imaginary part. (Geometrically this corresponds to finding the "mirror image" point...
The complex conjugate of (1+i) is (1−i). In general to obtain the complex conjugate reverse the sign of the imaginary part. (Geometrically this corresponds to finding the "mirror image" point in the complex plane by reflecting through the x-axis. The complex conjugate of a complex number z is written with a bar over it: z⎯⎯ and read as "z bar". Notice that if z=a+ib, then (z)(z⎯⎯)=|z|2=a2+b2 which is also the square of the distance of the point z from the...
Consider the following C struct that represents a complex number. struct complex { double real; double...
Consider the following C struct that represents a complex number. struct complex { double real; double imaginary; }; (a) [20 points/5 points each] Change this struct into a class. Make the member variables private, and add the following to the class: A default constructor that initializes the real and imaginary parts to 0. A constructor that allows initialization of both real and imaginary parts to any double value. A public member function that returns the magnitude of the complex number....
c++ 2) Complex Class A complex number is of the form a+ bi where a and...
c++
2) Complex Class A complex number is of the form a+ bi where a and b are real numbers and i 21. For example, 2.4+ 5.2i and 5.73 - 6.9i are complex numbers. Here, a is called the real part of the complex number and bi the imaginary part. In this part you will create a class named Complex to represent complex numbers. (Some languages, including C++, have a complex number library; in this problem, however, you write the...
1 Find the real part of (a+b2T a 6, b=10. 5 pts Question 2 What is...
1 Find the real part of (a+b2T a 6, b=10. 5 pts Question 2 What is the imaginary part of where n 102. Question 3 5 pts Consider the following complex-valued function of of a real-variable w 1 f (w)= 1+aexp(-ju) where a 0.3. Find the phase of f (7).
This question is related to the MathLab. can you make simple code for me? thanks and...
This question is related to the MathLab. can you make simple code for me? thanks and have a good one. 1. Apply Fourier transform to image using fft (and fftshift). 2. and display the amplitude and phase using abs and angle functions.
Problem 4 A complex number (w) is given as a function of the variable w as...
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.
C++
//add as many comments as possible
5. A complex number consists of two components: the real component and the imaginary component. An example of a complex number is 2+3i, where 2 is the real component and 3 is the imaginary component of the data. Define a class MyComplexClass. It has two data values of float type: real and imaginary This class has the following member functions A default constructor that assigns 0.0 to both its real and imaginary data...
c++
2) Complex Class A complex number is of the form a+ bi where a and b are real numbers and i 21. For example, 2.4+ 5.2i and 5.73 - 6.9i are complex numbers. Here, a is called the real part of the complex number and bi the imaginary part. In this part you will create a class named Complex to represent complex numbers. (Some languages, including C++, have a complex number library; in this problem, however, you write the...
1 Find the real part of (a+b2T a 6, b=10. 5 pts Question 2 What is the imaginary part of where n 102. Question 3 5 pts Consider the following complex-valued function of of a real-variable w 1 f (w)= 1+aexp(-ju) where a 0.3. Find the phase of f (7).
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.
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