(The duration of the OFDM symbol is intended to be the sum of the useful symbol and cyclic prefix duration).
where TOFDM is the OFDM symbol duration given by the sum of the useful symbol duration T and the CP duration Δ.
Using the Bussgang theorem [16], a nonlinear output can be expressed as the sum of the useful attenuated input replica and an uncorrelated nonlinear distortion as [16] (3).
The performance metric in [13] is the cross-section goodput which is defined as the sum of all useful bandwidth between traffic aggregation nodes and gateway nodes.
Due to the Gaussian nature of (y_{n}^{(r)}), it can be shown that the quantized signals can be decomposed as the sum of uncorrelated useful and distortion terms (see Appendix), i.e.: y_{n}^{Q(r)}approxalpha y_{n}^{(r)}+d_{n}^{(r)}, (6).
The complex baseband sequence at the input of a GNSS tracking loop can be modeled as the sum of a useful signal and a noise term, y ( t ) = x ( t ) + η ( t ) = A d ( t - τ 0 ) c ( t - τ 0 ) exp { j θ 0 ( t ) } + η ( t ) (1). where.
The total of useful plants was calculated as the sum of agricultural and utility plants.
Hence, a modern faculty's teaching productivity is not able to be gauged exclusively (or even predominantly) by the number and quality of its outgoing medical graduates, but rather must be judged by the sum total of its useful educational output.
Remark 8 One can clearly see from the proof of Theorem 3.1 that neither free-weighting matrices nor model transformation has been employed to deal with the sum terms, and none of useful items are ignored, resulting in better results with the less number of LMIs scalar decision variables, which deduces some conservatism in some sense.
Like with polymers, we have created a product where the whole is much more useful than the sum of its individual parts — using our tool allows manufacturers to gain much greater insights into their operations than if they were looking at individual pieces of data".
