On a quaternion valued Gaussian random variables
... f00 , where a f00 = (a00 2 +a000 2 +aIV 2 )1/2 . Indeed, we have, ĩ2 = −1 and a = a0 +ei a However, the collection of quaternions A ≡ (a1 , a2 , . . . , an ), n ≥ 2, not always can be expressed as complex numbers with the common imaginary unit. This can be done if and only if A is not a JQS. Since ...
... f00 , where a f00 = (a00 2 +a000 2 +aIV 2 )1/2 . Indeed, we have, ĩ2 = −1 and a = a0 +ei a However, the collection of quaternions A ≡ (a1 , a2 , . . . , an ), n ≥ 2, not always can be expressed as complex numbers with the common imaginary unit. This can be done if and only if A is not a JQS. Since ...
