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Both of the row and the column elements of the matrix Z i obtained by the squared operation should be close to zero when θ is the DOA of incoming wideband signal sources.
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Square multiplier block: the squaring operation resembles the behaviour of an incandescent lamp.
However, a squaring operation increases the noise power, leading to performance loss.
In [16], the energy detection technique is improved by replacing the squaring operation with arbitrary positive power operation.
Squaring and smoothing: this block performs two functions, it simulates the eye-brain perception by means of a squaring operation and emulates the memory effect of the brain.
The transmitter model of the RIPS-u is the same as the original RIPS with a square-law device (RIPS-sq), but the RIPS-u directly samples the signal without squaring operation.
Since the complex conjugation can be brought under the square root as well as under the squaring operation, and since this is applicable (c1 + c2)* = c1* + c2*, the following expression is obtained: R e ∫ - ∞ ∞ G ^ n, k ‒ i 2 ω + ⋯ + G ^ n, k ‒ 1 2 ω + G ^ n, k 2 ω ⋅ G ^ m, l * 2 ω + ⋯ + G ^ m, l + j + 1 * 2 ω + G ^ m, l + j * 2 ω d ω (11).
(2) Squaring Operation.
For example, one could incorporate non-multiplicative nonlinearities by replacing the squaring operation of the motion energy model with a more flexible nonlinearity.
After n squaring operations, two terms become equal: C u 2 n = C v 2 n, iff the exponents are congruent mod N: 2 n u = 2 n v mod q· 2 n, or equivalently u = v mod q.
One enhancement algorithm that mainly applies the square operation to regenerate harmonics is presented in detail, including the theoretical analysis and implementation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com