broadband signal's dynamic range have randomly selected amplitude, and a known phase angle relative to the start
the phases of the frequency components of the broadband of the broadband waveform segment being constructed;
signal in an effort to randomly select a set of phases which (b) generating a trial signal by adding the first frequency
results in reduced dynamic range. Neither of these conven- component signal to a previously determined optimal
tional methods for generating a broadband signal with 5 frequency component set, and generating a dynamic range
reduced dynamic range is mathematically precise, and nei- signal indicative of the trial signal's dynamic range;
flier allows for true optimization (i.e., dynamic range (c) incrementally changing the phase angle (not the
minimization) of the resulting broadband signal. frequency) of the frequency component added to the
It would be desirable to generate notched broadband optimal frequency component set during step (b) ((he
signals, each having low (and preferably minimized) i0 "trial" frequency component) to generate a new trial
dynamic range and frequency-amplitude spectrum specifi- frequency component;
cally designed for a particular mass spectrometry operation, (d) subtracting the trial frequency component from the trial
in a manner enabling rapid generation (for example, real signal generated in step (b), and replacing said trial
time) of a sequence of such signals (for use in a sequence of frequency component by the new trial frequency compo
different mass spectrometry operations) without signifi- 15 nent to generate a new trial signal, and generating a new
cantly impeding the performance of such sequence of mass dynamic range signal indicative of me new trial signal's
spectrometry operations. It would also be desirable to gen- dynamic range (in preferred embodiments of the
erate such notched broadband signals without a need for invention, the value of the new trial signal's dynamic
prior knowledge of undesired ions to be ejected during range is recorded);
application of the notched broadband signals. It would also 2o (e) repeating steps (c) and (d) for each of M different phase
be desirable to generate many different notched broadband angles which span a desired range, to identify one of the
signals for many different mass spectrometry experiments, trial signal and the new trial signals which has minimum
by performing rapid processing operations (for example, in dynamic range as an optimal trial signal, and identifying
real time) on a single broadband signal (having optimized the frequency components of the optimal trial signal as an
dynamic range). 25 expanded optimal frequency component set (in preferred
SUMMARY OF THE INVENTION embodiments of the invention, the frequency, amplitude,
,„ . t. . it , . . „ . and phase of the frequency components of the optimal
• f mu-l n I5,3 &***>*6 a m*C*TS': nial signal are recorded); and
signal which includes the steps of generating a broadband (f) d (aHe) fa M addidonal sinusoidal (or
signal having optimized (reduced or minimized) dynamic 30 otnef fr component having a frequency
range, and filtering (he broadband signal in a notch filter to meKnt man mat Qf fr component generated
generate a broadband signal whose frequency-ampktade imin a ^ tition of ^ (a).
spectrum has one or more notches (the lUtered noise s (f) can ^ ^ fQf each sinusoidal (or ^
signal). In preferred embodiments the filtered noise signalis fr component to be included in the opti
a voltage signal suitable for application to an ion trap (or 35 ... broadband signal (i.e., for aU frequencies necessary to
other applicable mass spectrometer) during a mass spec- exdte in ... ... ^ h ical ^ tQ whfch ^
trometry operaUon. If applied to, for example, a quadruple broadband signal ^ be applied)( of for only a
ion trap, the filtered noise signal creates a field which subse, of such fr components The latter embodi
combmes with the quadrupole field (having parameters U V, ments rf me m a ^ optimi2ed
and Q), to create a new field called a filtered noise field. ^ band signal including one or more frequency components
The invention enables rapid generation of different fil- on whicn steps (aHe) have been prf^^ as weU as other
tered noise signals (for use in different mass spectrometry frequency components on which steps (a)-(e) have not been
experiments) by filtering a single common broadband signal performed, one embodiment, an analog version of the
(having optimized dynamic range) using a set of different partially optimized broadband signal is generated, and the
notch filters, each having a simple, easily implementable 45 time-averaged energy of this analog signal is determined
design- over intervals of the analog signal's total duration, T. in
The invention enables rapid generation of filtered noise order to identify one or more "flat" intervals over which the
signals (for example, in real time during mass spectrometry time-averaged energy is substantially constant (either
experiments) without prior knowledge of the mass spectrum throughout the interval or at least over beginning and ending
of unwanted ions to be ejected from a trap during application 50 portions of the interval). By storing a portion of the partially
of the filtered noise signal to the trap. The invention also optimized broadband signal having duration U (where U<T)
enables rapid generation of a filtered noise signal having no and corresponding to at least one of the flat intervals, a better
missing frequency components outside the notches of the optimized broadband signal (having lower dynamic range
notch filter employed to generate such filtered noise signal. than the above-mentioned partially optimized signal) can be
In a class of preferred embodiments, two steps are per- 55 generated from the stored flat interval signal by repeatedly
formed to generate the inventive broadband signal (which is clocking the flat interval signal out from storage or other
to be subsequently notch-filtered). The first step is to itera- wise concatenating several identical copies of the flat inter
tively generate digital values indicative of the amplitude val signal.
(typically voltage), frequency, and phase of each frequency Throughout the specification, the expression "optimized
component of a broadband signal having optimized dynamic eo broadband signal" will be employed to denote not only fully
range. The second step is to process these digital values to optimized broadband signals (having minimized dynamic
generate an analog, optimized broadband signal. range), but also "partially optimized" and "better optimized"
In a preferred embodiment, the iterative digital value broadband signals of the types mentioned above,
generation is performed in a digital processor, and includes Each optimized broadband signal should contain all fre
the following steps: 65 quencies necessary to excite the physical system to which it
(a) generating a first sinusoidal (or other periodic) frequency will be applied (for example, all undesired trapped ions to
component signal having a first frequency, a first which a notch-filtered version of the optimized broadband