Sentence examples for multiplication of complex from inspiring English sources

A modular multiplication of complex signals can be expressed as (16) A × B m = a 1 a 2 m − b 1 b 2 m m + i b 1 a 2 m + b 2 a 1 m m. (16).

The group operation is multiplication of complex numbers.

Further examples of commutative binary operations include addition and multiplication of complex numbers, addition and scalar multiplication of vectors, and intersection and union of sets.

Complex numbers can be represented by particular real 2-by-2 matrices via :a + ib \leftrightarrow \begin{bmatrix} a & -b \\ b & a \end{bmatrix}, under which addition and multiplication of complex numbers and matrices correspond to each other.

The conventional FFT-based algorithm uses a multiplication of two complex vectors of length N in the FFT domain, which is assumed to take 3N real multiplications.

Once the receiver knows the applied weighting factors, multiplication of their complex conjugates to the received signal block after FFT returns the original data block.

where the complexity of complex multiplication is j L L a +N L M 2 and addition is (jLleft (L_{a}-1right)+NLMleft (M-1right)) in the condition that (left {mathbf {a}_{m}right }_{m=0}^{M-1}) are results of the circulation of j (j=1,2,⋯,M) sequences in (left {mathbf {a}_{m}right }_{m=0}^{M-1}).

Here's one high school math standard: Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

Table 2 Complexity evaluation of the wireless microphone detectors for Ns samples   Complexity in number of complex multiplication Energy detector Ns Teager-Kaiser detector 2*Ns Autocorrelation detector Ns*Ns Frequency domain energy detector Ns*log2(Ns) + Ns.

From (8) we can get the complexity of ID: the number of complex multiplication operations in per iteration is N2; the number of complex addition operations in the first iteration is 2N2 and the number of complex addition operations in the rest each iteration is N2.

Here we consider the number of complex multiplications as the complexity criterion.