MATLAB Language - The transpose operators | matlab Tutorial

conjugate transpose of a vector matlab

conjugate transpose of a vector matlab - win

Just found the most frustrating of bugs in my MATLAB code...

I spent a few hours puzzling this one out, thought if I shared my experiences I could save someone some heartache.
Basically, I was dividing two complex vectors (for spectral domain filtering) and I was getting bogus results. My theory was correct, but practically it wasn't working for me - worse yet, it seemed that sometimes it would work and other times not.
Fast forward a couple hours later, and the answer dawns on me: Matlab does not treat the transpose of complex number matrices the same as real number matrices.
In the case of complex numbers, the transpose operator (') gives you the transpose conjugate.
I'll never make this mistake again anyway, hopefully you lads never will.
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conjugate transpose of a vector matlab video

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Example.' is the correct way to transpose a vector or matrix in MATLAB. ' is the correct way to take the complex conjugate transpose (a.k.a. Hermitian conjugate) of a vector or matrix in MATLAB. Note that for the transpose .', there is a period in front of the apostrophe. This is in keeping with the syntax for the other element-wise operations in MATLAB: * multiplies matrices, .* multiplies MATLAB - Transpose of the Vector example B = A .' returns the nonconjugate transpose of A , that is, interchanges a row together with column index for regarded and identified separately. element. if A contains complex elements, then A.' does not affect the signal of the imaginary parts. The MATLAB operator ' when applied to a complex vector produces the complex conjugate transpose, that is it both takes the complex conjugate of each element and the transpose of the vector. whether you only want to transpose a complex vector then usage the MATLAB function transpose or the non-conjugate transpose.' operator. Complex Conjugate Transpose The complex conjugate transpose of a matrix interchanges the row and column index for each element, reflecting the elements across the main diagonal. The operation also negates the imaginary part of any complex numbers. For example, if B = A' and A (1,2) is 1+1i, then the element B (2,1) is 1-1i. Transpose vector or matrix. collapse all in page. Syntax. B = A.' B = transpose(A) Description. example. B = A.' returns the nonconjugate transpose of A, that is, interchanges the row and column index for each element. If A contains complex elements, then A.' does not affect the sign of the imaginary parts. For example, if A(3,2) is 1+2i and B = A.', then the element B(2,3) is also 1+2i. B MATLAB - Transpose of the Vector example B = A .' returns a nonconjugate transpose of A , that is, interchanges a row moreover to column index for used to consult every one of two or more people or matters element. whether A contains complex elements, then A.' does not affect the sign of a imaginary parts. Complex Conjugate Transpose The complex conjugate transpose of a matrix interchanges the row and column index for each element, reflecting the elements across the main diagonal. The operation also negates the imaginary part of any complex numbers. For example, if B = A' and A (1,2) is 1+1i, then the element B (2,1) is 1-1i. MATLAB - Transpose of the Vector example B = A .' returns the nonconjugate transpose of A , that is, interchanges a row in addition to column index for each element. if A contains complex elements, then A.' does not affect the signal of a imaginary parts. Transpose vector or matrix. collapse all in page. Syntax. B = A.' B = transpose(A) Description. example. B = A.' returns the nonconjugate transpose of A, that is, interchanges the row and column index for each element. If A contains complex elements, then A.' does not affect the sign of the imaginary parts. For example, if A(3,2) is 1+2i and B = A.', then the element B(2,3) is also 1+2i. B This MATLAB function returns the complex conjugate transpose of the quaternion, quat.

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conjugate transpose of a vector matlab

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