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Page "Aliasing" ¶ 22
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case and frequencies
While these networks cover the whole of Romandy, special programs related to Geneva are sometimes broadcast on some of the local frequencies in the case of special events such as elections.
* In the case of FSK ( frequency-shift keying ), a finite number of frequencies are used.
* Sum frequency generation ( SFG ), generation of light with a frequency that is the sum of two other frequencies ( SHG is a special case of this )
The angular momentum and energy are quantization ( physics ) | quantized, and take only discrete values like those shown ( as is the case for Resonant frequency | resonant frequencies in acoustics )
In telecommunications in particular, it is often the case that those parts of the signal which are at low frequencies are " copied " up to higher frequencies for transmission purposes, since there are few communications media that will pass low frequencies without distortion.
In telecommunication, a bridge-to-bridge station is a ship station operating in the port operations service in which messages are restricted to navigational communications and which is capable of operation from the ship's navigational bridge or, in the case of a dredge, from its main control station, operating on a frequency or frequencies in the 156-162 MHz band.
In the case of a waveguide or an antenna, the cutoff frequencies correspond to the lower and upper cutoff wavelengths.
Quality criteria for such circuits may include equalization for amplitude over a specified band of frequencies, or in the case of digital data transported via analogue circuits, may include equalization for phase.
In that case, the homodyne mixer translates the signal frequencies by ( A + B )/ 2, with a synchronized phase, which moves the highest component to ( B − A )/ 2 and the Nyquist rate to just ( B − A ).
This is the case in single-mode fibers, where we can have waves with different frequencies, but of the same mode, which means that they are distributed in space in the same way, and that gives us a single ray of light.
In general, the brightness temperature is a function of, and only in the case of blackbody radiation is it the same at all frequencies.
In the case of many string instruments the sound emitted is strongly directional, particularly at high frequencies, and the slight variations in pitch typical of vibrato playing can cause large changes in the directional patterns of the radiated sound.
This case concerned FM radio frequencies and found that the Treaty could be relevant even concerning legislation which did not mention it.
In the case of a nonlinear varying electric field, and hence an accompanying varying magnetic field, the faster the variations are ( i. e., the higher the frequencies ), the better the material resists penetration, but on the other hand, the better it passes through a mesh of given size.
In such a case the plot is said to be normalized and units of the frequencies are no longer used since all input frequencies are now expressed as multiples of the cutoff frequency.
Journalist and historian Peter Hennessy has made an assertion, in one of his books, that a test that the commander of a British nuclear-missile submarine must use to determine whether the UK has been the target of a nuclear attack ( in which case he has sealed orders which may authorise him to fire his nuclear missiles in retaliation ), is to listen for the presence of Today on Radio 4's frequencies.
If the chosen anti-aliasing filter ( a low-pass filter in this case ) has a transition band of 2000 Hz, then the cut-off frequency should be ≤ 20050 Hz to yield a signal with negligible power at frequencies ≥ 22050 Hz and complete pass of frequencies ≤ 20 kHz ( within the human hearing range ).
If the coefficients are symmetrical ( the usual case ), then such a filter is linear phase, so it delays signals of all frequencies equally.
In that case, the Nyquist rate for a waveform with no frequencies ≥ B can be reduced to just B ( complex samples / sec ), instead of 2B ( real samples / sec ).
In this case, the genotype frequencies can be predicted from the allele frequencies.

case and aliases
The term aliasing usually refers to the case where some original frequency components have aliases below Nyquist.
There were several contributors such as " Sue Denim " ( as in pseu-donym, in this case Lewis Shiner ), but the real identities behind some aliases are still not commonly known.
None of the names or aliases in this case match those of the 26 alleged CIA agents prosecuted by Italy ( see Imam Rapito affair below ), although the Los Angeles Times reported one of the pilots may have been involved in both incidents.

case and are
But in our case -- and neither my wife nor I have extreme views on integration, nor are we given to emotional outbursts -- the situation has ruined one or two valued friendships and come close to wrecking several more.
( There are two receivers in case one should be dropped and damaged.
Some years ago Julian Huxley proposed to an audience made up of members of the British Association for the Advancement of Science that `` man's supernormal or extra-sensory faculties are ( now ) in the same case as were his mathematical faculties during the ice age ''.
But, here again, comparative benchmarks are lacking, and we do not know, in any case, what measure of profoundity and intensity to expect from healthy, young, secure and relatively inexperienced persons ; ;
The novels and stories like Pohl's Drunkard's Walk ( 1960 ), with the focus on adventure and with the dystopian elements only a dim background -- in this case an uneasy, overpopulated world in which the mass of people do uninteresting routine jobs while a carefully selected, university-trained elite runs everything -- are in all likelihood as numerous as dystopias.
That fact is very clearly illustrated in the case of the many present-day intellectuals who were Communists or near-Communists in their youth and are now so extremely conservative ( or reactionary, as many would say ) that they can define no important political conviction that does not seem so far from even a centrist position as to make the distinction between Mr. Nixon and Mr. Khrushchev for them hardly worth noting.
The very rules and regulations in every city are the primary case of slum conditions.
Our litterbug ordinances are not enforced and I have yet to read of a conviction in a littering case.
The replies from each individual town are not given in detail because the questions asked the personal opinion of the several assessors and are not necessarily the established policy of the town in each case.
All payments authorized under Section 7 of this Title shall be disbursed from the proper fund, as the case may be, and all amounts covered into the Treasury to the credit of the aforesaid funds are hereby permanently appropriated for the making of the payments authorized by Section 7 of this Title.
As is the case with the allotment provisions for support of vocational rehabilitation services, the matching requirements are also based on a statutory formula.
The District Courts, in the framing of equitable decrees, are clothed ' with large discretion to model their judgements to fit the exigencies of the particular case.
The same restrictions apply after local sunset in the case of class 3, stations operating on regional channels, which after that time are required to operate under nighttime restrictions in order to protect each other.
This conformational entropy is, in this case, equal to the usual entropy, for there are no other changes or other energies involved.
As is the case with the surface-active agent, the requirements for builders to be used in detergent compositions for washing textiles are also high.
The reader will find it helpful to think of the special case when the primes are of degree 1, and even more particularly, to think of the proof of Theorem 10, a special case of this theorem.
In each case, lines of the bundles are transformed by involutions within the pencils they determine with the multiple secant.
In the first case the fixed elements within each pencil are the multiple secant and the line joining the vertex, P, to the intersection of **zg and the plane of the pencil which does not lie on the multiple secant.
The multiple secants, of course, are exceptional and in each case are transformed into cones of order Af.
Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.
Presumably the interfacial bond strength and gross cohesive properties are identical in each case.
Merchant has found that the same basic relationships which describe the geometry and force systems in the case of the cutting mechanism can also be applied to the discontinuous chip formation provided the proper values of instantaneous shear angle and instantaneous chip thickness or cross-sectional area are used.

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