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filter calculations. Also called quantization  first order system  the system that can
                              effects.                               be described by a linear first-order difference
                                                                     equation. Theoutputofthefirst-ordersystem
                              finite-extent sequence  the discrete-time  y(n) is equal to a linear combination of the
                              signals with finite duration. The finite-extent  past output value y(n−1) and the input value
                              sequence {x(n)} is zero for all values of n  x(n), i.e.,
                              outside a finite interval.
                                                                           y(n) = αx(n) + βy(n − 1).
                              FIR     See far-infrared, finite impulse
                              response filter.
                                                                     first-fit memory allocation  a memory
                              firing angle   time in electrical degrees  allocation algorithm used for variable-size
                              from the instant the valve voltage is positive  units (e.g., segments). The “hole” selected is
                              to the application of firing pulse to the valve  the first one that will fit the unit to be loaded.
                              (start of conduction). Also called delay an-  This hole is then broken up into two pieces:
                              gle.                                   one for the process and one for the unused
                                                                     memory, except in the unlikely case of an
                              firm power   an amount of electric power  exact fit, there is no unused memory.
                              intended to be available at all times to a com-
                              mercial customer, regardless of system con-  first-in-first-out (FIFO)  a queuing dis-
                              ditions.                               cipline whereby the entries in a queue are
                                                                     removed in the same order as that in which
                              firmreal-time  Seefirmreal-timesystem.   they joined the queue.

                              firm real-time system  a real-time system
                                                                     first-in-last-out (FILO)  a queuing rule
                              that can fail to meet one or more deadlines
                                                                     whereby the first entries are removed in the
                              without system failure. Compare with soft
                                                                     opposite order as that in which they joined
                              real-time, hard real-time.
                                                                     the queue. This is typical of Stack structures
                                                                     and equivalent to last-in-first-out (LIFO).
                              firmware    software that cannot be modi-
                              fied by the end user.
                                                                     first-swing stability  criterion to deter-
                                                                     mine transient stability by use of the swing
                              first difference  for a sequence {x(n)} the
                                                                     equation.  The rotor angle immediately
                              sequence obtained by simply subtracting its
                                                                     following a severe disturbance usually in-
                              (n − 1)th element from its nth element, i.e.,
                                                                     creases. The criterion states that if the ro-
                                                                     tor angle swings back and decreases a short
                                      y(n) = x(n) − x(n − 1)
                                                                     time after the disturbance, then the system is
                                                                     first-swing stable.
                              first order hold (FOH)  for a signal f(k),
                                                                     Fisher information  a quantitative mea-
                              the sequence of straight lines connecting the
                                                                     surement of the ability to estimate a specific
                              sample points of f(k). It interpolates the
                                                                     set of parameters. The Fisher information
                              values between two adjacent samples f(k)
                                                                     J(θ) is defined by
                              and f(k + 1) using a linear approximation
                              given by                                                         2
                                                                                     ∂ ln f θ (y)
                                                                          J(θ) = E θ
                                                t − kT s                                ∂θ
                                  x(t) = x(kT s ) +
                                                                                         2
                                                  T s                                   ∂ ln f θ (y)
                                        (x((k + 1)T s ) − x(kT s )).           =− E θ      ∂ θ
                                                                                            2
                              c 
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