Howtosignalprocessing
What is the norm of a signal?
A norm is defined on a vector space. To apply this concept to the case of signals, it is necessary to define sets of signals that are vector spaces. This is the case of the signal spaces described below. where U(jω) is the Fourier transform of the signal u(t).
What is norm in control system?
The norm of a stable continuous system with transfer function , is the root-mean-square of its impulse response, or equivalently. This norm measures the steady-state covariance (or power) of the output response to unit white noise inputs .
What is the H2 norm?
H2 norm. The H2 norm of a stable system H is the root-mean-square of the impulse response of the system. The H2 norm measures the steady-state covariance (or power) of the output response y = Hw to unit white noise inputs w: ‖ H ‖ 2 2 = lim E t → ∞ y ( t ) T y ( t ) , E ( w ( t ) w ( τ ) T ) = δ ( t − τ ) I .
