TECHNICAL FIELD OF THE INVENTION
[0001] The present invention relates generally to digital devices and more particularly
to the implementation of timing circuitry using digital devices.
BACKGROUND OF THE INVENTION
[0002] IC fabrication processes tend to be targeted at one of two applications. Some allow
chips to be made with precision passive components (resistors, capacitors, etc.) while
others allow very dense areas of transistors to be placed. The former are required
for chips with a mostly analogue function and will use Bipolar (and maybe MOSFET)
transistors. The latter are targeted at large digital chips and will use MOSFET transistors
exclusively.
[0003] When producing mixed signal chips with both analogue and digital functional blocks
a decision must be taken as to which process is best suited. This is most likely to
be governed by the relative quantity of each type of circuit.
[0004] When a large digital device is to incorporate a small analogue section, ways must
be found around the inadequacy of the process' passive components, either by careful
analogue circuit design or by mimicing analogue functions using digital techniques.
SUMMARY OF THE INVENTION
[0005] The present invention provides an implementation of timing circuits, which are specified
by a minimum and maximum value and intended for analogue implementation, using a digital
counter and a clock signal of varying phase thus eliminating the need for passive
components.
[0006] US-A-3 502 991 discloses an apparatus implementing a timer comprising selection circuitry
for selecting from a plurality of input strobe signals to generate an output clock
signal, and a counter coupled to said selection circuitry and operable to count a
predetermined amount of time in response to said output clock signal.
[0007] WESCON TECHNICLA PAPERS, vol. 18, no. 27/4, 1974, NORTH HOLLYWOOD, pages 1-7 XP002016552
Z. TARZY-HORNOCH: "Some nanosecond and sub-nanosecond resolution timing techniques"
discloses a slice-free rate limiter to not more than one pulse per time T with a phase-locked
clock for delay generation whose start time pulse T clocks and through delays reclocks
the flip-flops so that they store a pattern representative of the nearest phase to
the start time.
[0008] IBM TECHNICAL DISCLOUSRE BULLETIN, vol. 16, no. 7, December 1973, NEW YORK, pages
2087-2089, XP 002016553 S. BOÏNDIRIS: 'Clock synchronisation for counting timer intervals
discloses improvements in the accuracy of the asynchroneous time interval measurement
by phase splitting of the clock pulses counted for this measurement, and to compensate
for circuit delay, clock pulse outputs are correlated to slightly delayed pulses by
an additional increment.
[0009] The present invention alleviates the inadequacy of the passive components of the
IC chips produced, by careful analogue circuit design and by mimicking analogue functions
using digital techniques when a large digital device is to incorporate a small analogue
selection during the production of mixed signal IC chips with both analogue and digital
functional blocks. This is achieved by an apparatus implementing a timer comprising
selection circuitry for electing from a plurality of input strobe signals to generate
an output clock signal, and a counter couplet to said selection circuitry and operable
to count a predetermined amount of time in response to said output clock signal which
is built according to the characterising part of claim 1.
BRIEF DESCRIPTION OF THE DRAWINGS
[0010] Other aspects of the invention and their advantages will be discerned when one refers
to the following detailed description as taken in conjunction with the drawings, in
which like numbers identify like parts and in which:
Fig. 1 is a circuit diagram of one embodiment of a strobe selection circuit in accordance
with the present invention;
Fig.2 is a circuit diagram of a second embodiment of a strobe selection circuit in
accordance with the present invention;
Figs.3A-D illustrate several exemplary input clock strobe waveforms;
Figs.4A-D show several exemplary waveforms which illustrate the results of performing
AND operations on pairs of the waveforms shown in Figs. 3A-D; and
Figs.SA-G depict waveforms illustrating selection of the strobe.
DETAILED DESCRIPTION OF THE INVENTION
[0011] One embodiment of the present invention as shown in Fig.1 includes a strobe select
circuit 7 which uses several input clock signals 10, 12, 14 and 16 having the same
frequency, but differing phases to implement a timing circuit. These input clock signals
10, 12, 14 and 16 are produced by various techniques including a Delay Locked Loop
with multiple variable-delay stages, or by creating increasing delay paths for a single
input clock signal. The former technique provides for evenly separated phases, while
the latter, although much simpler to design, is subject to process, temperature, and
voltage level variations. Other methods for producing the input clock signals 10,
12, 14 and 16 will be readily apparent to those skilled in the art.
[0012] The number of input clock signals used is determined by the accuracy requirements
of the application and by the frequency of a base clock, not shown, from which the
input clock signals 10, 12, 14 and 16 are derived. The frequency must be a multiple
of the shortest timer needed, i.e., if a timer of 50ns (+/-5ns) is needed, then a
10ns or 25ns period is appropriate but a 33ns period is not. Continuing with this
example, the range of the exemplary timer is 45-55ns, i.e. 10ns. Thus, for a 25ns
period clock, 2 phases give a resolution of 12.5ns, but 4 phases, which give a resolution
of 6.25ns, are chosen to allow for subsequent gate delays. The strobe selection circuits
7 and 9 illustrating the present invention, as shown in Figs. 1 and 2, respectively
and as described in more detail hereinbelow, use the four input clock phases 0°, 90°,
180° and 270°.
[0013] The Strobe Select Circuits 7 and 9 in accordance with the present invention and as
shown in Figs. 1 and 2, respectively, have 5 inputs and 1 output. An asserted reset
signal 18 holds the circuit 7 or 9 in a reset state, with the output signal at 62
in Fig. 1 and at 64 in Fig. 2 held low. Four RS latches 90, 92, 94 and 96 are held
reset (where their outputs are HIGH) using this reset signal 18. The reset circuits
7 and 9 may be arranged for the signal 18 to be active HIGH or active LOW.
[0014] Four clock strobes (input signals 10, 12, 14 and 16) are used in the circuits 7 and
9 shown in Figures 1 and 2, respectively, and are called stb0, stb90, stb180 and stb270,
respectively, (the numbers referring to their relative phase to the base clock, not
shown, from which they are derived). The waveforms associated with each of these strobes
are shown in Figs. 3A-D, respectively.
[0015] Each pair of adjacent strobes (i.e. a pair of strobes separated by 90 degrees) are
AND-ed together to give four signals 66, 68, 70 and 72, the respective waveforms of
which are shown in Figs. 4A-D, respectively, only one of which is HIGH at any one
time. Each of these signals 66, 68, 70 and 72 are associated with one of the RS latches
90, 92, 94 and 96.
[0016] The number of adjacent strobes AND-ed together so that only one of the combinations
is HIGH at any one time depends on the number of input clock strobes used. As an example,
if eight clock strobes are used instead of four, four adjacent clock strobes are AND-ed
together to give eight signals, only one of which is HIGH at any one time.
[0017] The set input 30 for the RS latch 90 is the NAND 28 of the signal 66 and the output
signals 102, 104 and 106 of the other three RS latches 92, 94 and 96. NAND gates 32,
36 and 40 are similarly used to generate the set inputs 34, 38 and 42 for the RS latches
92, 94 and 96, respectively.
[0018] Functionally, when the reset signal 18 is deasserted, the waveform of which is shown
in Fig.5A, the RS latches 90, 92, 94 and 96 are able to be set. However, due to the
NAND gates 28, 32, 36 and 40 on the set inputs 30, 34, 38 and 42 of the RS latches
90, 92, 94 and 96, only one gets set, as shown by the exemplary waveform in Fig.5C,
namely the one associated with the two strobe inputs 10 and 12, 12 and 14, 14 and
16, or 16 and 10 which are both HIGH. In the exemplary waveform shown in Fig.5B, the
strobe inputs which are 90 and 180 out of phase from the base clock are selected.
When this RS latch 90, 92, 94 or 96 sets, its output signal 100, 102, 104 or 106 goes
LOW which feeds into the NAND gates 28, 32, 36 and 40, respectively, on the other
three RS latches and prevents them from being able to be set. So only one RS latch
90, 92, 94 or 96 will ever have its output signal 100, 102, 104 or 106 LOW.
[0019] The output signals 100, 102, 104 and 106 of the four RS latches 90, 92, 94 and 96,
respectively, are inverted and fed into NAND gates 52, 54, 56 and 58 respectively,
along with one of the input strobes 10, 12, 14 or 16. The RS latch 90, 92, 94 or 96
which is set enables its associated strobe signal 10, 12, 14 or 16 to traverse the
NAND gate 52, 54, 56 or 58. The outputs of all four NAND gates 52, 54, 56 and 58 pass
through another NAND gate 62 (which, by DeMorgan's Theorem implements an OR function)
to give the output clock signal 62 in the first embodiment shown in Fig.1 and to give
the output clock signal 64 in the second embodiment shown in Fig.2.
[0020] Two embodiments of the strobe selection circuit 7 and 9 are shown in Figs. 1 and
2, respectively, the difference being in which strobe signal 10, 12, 14 or 16 gets
selected by which RS latch 90, 92, 94 or 96. In order to avoid glitches, the strobe
signal 10, 12, 14 or 16 selected to the output 62 or 64 must either be (upto) halfway
through its LOW period, as illustrated by the waveform in Fig.5D, or (upto) halfway
HIGH as illustrated by the waveform shown in Fig.5E (the other two could be transitioning
LOW to HIGH or HIGH to LOW at this time which gives a very short glitch on the output
clock signal 62 or 64), the waveforms of which are shown in Figs.5F and 5G, respectively.
[0021] Thus, in the second embodiment of the present invention as shown in Fig.2, the order
of the clock strobes 10, 12, 14 and 16 into the NAND gates 52, 54, 56 and 58 is changed.
[0022] The final component of a timer in accordance with the present invention is a synchronous
count-down counter 110. The counter 110 is held reset by the same reset signal 18
as the strobe select circuits 7 and 9 shown in Figs.1 and 2, respectively. When the
reset signal 18 is removed, the counter 110 counts down with each clock edge output
62 or 64 from the strobe select circuits 7 or 9 shown in Figs.1 and 2, respectively.
[0023] Assuming rising edge logic, the delay to the first rising edge is either upto half
a cycle minus delay through two NAND gates, and fanout into the counter in the circuit
shown in Fig.1, or just these gate delays in the circuit shown in Fig.2.
[0024] DESIGN EXAMPLE: Timer in the range 70-90ns.
[0025] Use a 25ns period clock, with four strobes 6.25ns apart.
[0026] Using the circuit 9 shown in Fig.2, with a 3 down to 0 counter 110:
[0027] When the reset signal 18 is removed, the edge appears instantly. The output signal
64 is high for 6.25-12.5ns. It is then low for 12.5ns, and edges appear at 25ns intervals
after that.


[0028] This is no good as it is out of range. Alternatively, try the circuit 7 shown in
Fig.1.
[0029] In the circuit 7 shown in Fig.1, with a 3 down to 0 counter 110:
When the reset signal 18 is removed, the edge appears instantly. The output clock
signal 62 is low for 6.25-12.5ns. Edges then appear at 25ns intervals.


[0030] This lies easily within the 70-90ns range, and is thus suitable for this exemplary
application.
1. Apparatus for implementing a timer comprising:
selection circuitry (7,9) for selecting from a plurality of input strobe signals (10,
12, 14,16) to generate an output clock signal (62, 64);
a counter (110) coupled to said selection circuitry and operable to count a predetermined
time period in response to said output clock signal; and
characterised in that said selection circuitry includes a plurality of latch circuits each having a set
input (30, 34, 38, 42) and a reset input, each set input being responsive to one of
a plurality of combinations of said input strobe signals and each reset input being
responsive to a reset signal (18).
2. The apparatus of Claim 1, wherein each of said input strobe signals has an associated
frequency and phase and wherein said associated frequency of each of said input strobe
signals is equal to a base frequency and wherein said associated phase of each of
said input strobe signals is an offset from a base phase.
3. The apparatus of Claim 1 or Claim 2, wherein only one of said plurality of combinations
of said input strobe signals is asserted at any one time.
4. The apparatus of any preceding claim, wherein said reset signal is asserted and wherein
each of said latch circuits is operable to generate a latch output signal and to inhibit
said other of said latch circuits from being set in response to said one of said combinations
of said input strobe signals being asserted and said reset signal being de-asserted.
5. The apparatus of any preceding claim wherein said selection circuitry further includes
circuitry (52, 54, 56, 58) for combining said latch output signal with one of said
input strobe signals to generate said output clock signal.
6. The apparatus of Claim 5, wherein said combining circuitry is further operable to
combine said latch output signal with one of said input strobe signals which is not
near one of its transition times.
7. A method of implementing a timer in an apparatus as claimed in Claim 1, which method
comprising:
generating a plurality of input strobe signals each having an associated frequency
equal to a base clock frequency and an associated phase equal to a base clock phase
plus an associated offset;
combining selected ones of a plurality of input strobe signals (10;12;14;16) to generate
a plurality of latch input signals;
associating each of said latch input signals with a set input of one of the latch
circuits;
de-asserting a reset signal (118) at the reset input of said latch circuits to enable
the latch circuits to be set;
combining a latch output signal associated with said one of said latch circuits with
one of said input strobe signals to generate an output clock signal (62;64), said
latch output signal being generated by each of a plurality of latch circuits (90;92;94;96)
having an associated set input (30;34;38;42) and a reset input; and
associating said output clock signal with an input of a counter (110), said counter
being held reset by the reset signal and operable to count with said output clock
signal in response to said de-asserting step.
8. The method of Claim 7, wherein said step of combining selected ones of the input strobe
signals includes combining selected ones of the input strobe signals so that only
saidvne of said latch input signals is high at any one time.
9. The method of Claim 8, wherein said step of combining the latch output includes combining
the latch output associated with said one of the latch circuits with said one of the
input strobe signals which is not near one of its transition times.
10. The method of Claim 9, wherein said step of combining the latch output includes combining
the latch output associated with said one of the latch circuits with said one of the
input strobe signals (78) which is halfway through its high period.
11. The method of Claim 9, wherein said step of combining the latch output includes combining
the latch output associated with said one of the latch circuits with said one of the
input strobe signals (76) which is halfway through its low period.
1. Vorrichtung für die Implementierung eines Taktgebers, die umfaßt:
eine Auswahlschaltungsanordnung (7, 9), die eine Auswahl aus mehreren Eingangs-Strobe-Signalen
(10, 12, 14, 16) trifft, um ein Ausgangstaktsignal (62, 64) zu erzeugen;
einen Zähler (110), der mit der Auswahlschaltungsanordnung verbunden und so betreibbar
ist, daß er als Antwort auf das Ausgangstaktsignal eine vorgegebene Zeitperiode zählt;
und
dadurch gekennzeichnet, daß die Auswahlschaltungsanordnung mehrere Zwischenspeicherschaltungen enthält, die jeweils
einen Setzeingang (30, 34, 38, 42) und einen Rücksetzeingang besitzen, vobei jeder
Setzeingang auf eine von mehreren Kombinationen aus Eingangs-Strobe-Signalen anspricht
und jeder Rücksetzeingang auf ein Rücksetzsignal (18) anspricht.
2. Vorrichtung nach Anspruch 1, bei der jedem der Eingangs-Strobe-Signale eine Frequenz
und eine Phase zugeordnet ist, die zugeordnete Frequenz jedes der Eingangs-Strobe-Signale
gleich einer Grundfrequenz ist und die zugeordnete Phase jedes der Eingangs-Strobe-Signale
eine Verschiebung gegenüber einer Grundphase ist.
3. Vorrichtung nach Anspruch 1 oder Anspruch 2, bei der nur eine der mehreren Kombinationen
aus Eingangs-Strobe-Signalen zu irgendeinem Zeitpunkt positiv ist.
4. Vorrichtung nach einem vorhergehenden Anspruch, bei der das Rücksetzsignal positiv
ist und jede der Zwischenspeicherschaltungen so betreibbar ist, daß sie ein Zwischenspeicherausgangssignal
erzeugt und als Antwort auf die Tatsache, daß die eine der Kombinationen der Eingangs-Strobe-Signale
positiv ist und das Rücksetzsignal nicht positiv ist, verhindert, daß die andere der
Zwischenspeicherschaltungen gesetzt wird.
5. Vorrichtung nach einem vorhergehenden Anspruch, bei der die Auswahlschaltungsanordnung
ferner eine Schaltungsanordnung (52, 54, 56, 58) enthält, die das Zwischenspeicherausgangssignal
mit einem der Eingangs-Strobe-Signale kombiniert, um das Ausgangstaktsignal zu erzeugen.
6. Vorrichtung nach Anspruch 5, bei der die Kombinationsschaltungsanordnung ferner so
betreibbar ist, daß sie das Zwischenspeicherausgangssignal mit einem der Eingangs-Strobe-Signale,
das sich nicht in der Nähe einer seiner Übergangszeiten befindet, kombiniert.
7. Verfahren für die Implementierung eines Zeitgebers in einer Vorrichtung nach Anspruch
1, bei dem
mehrere Eingangs-Strobe-Signale erzeugt werden, wovon jedem eine Frequenz, die gleich
einer Grundtaktfrequenz ist, und eine Phase, die gleich einer Grundtaktphase zuzüglich
einer zugeordneten Verschiebung ist, zugeordnet sind;
ausgewählte der mehreren Eingangs-Strobe-Signale (10; 12; 14; 16) kombiniert werden,
um mehrere Zwischenspeichereingangssignale zu erzeugen;
jedes der Zwischenspeichereingangssignale einem Setzeingang einer der Zwischenspeicherschaltungen
zugeordnet wird;
ein Rücksetzsignal (118) am Rücksetzeingang der Zwischenspeicherschaltungen nicht
positiv angenommen wird, um ein Setzen der Zwischenspeicherschaltungen zu ermöglichen;
ein Zwischenspeicherausgangssignal, das einer der Zwischenspeicherschaltungen zugeordnet
ist, mit einem der Eingangs-Strobe-Signale kombiniert wird, um ein Ausgangstaktsignal
(62; 64) zu erzeugen, das durch jede von mehreren Zwischenspeicherschaltungen (90;
92; 94; 96), die einen zugeordneten Setzeingang (30; 34; 38; 42) und einen Rücksetzeingang
besitzen, erzeugt wird; und
das Ausgangstaktsignal einem Eingang eines Zählers (110) zugeordnet wird, wobei der
Zähler durch das Rücksetzsignal zurückgesetzt gehalten wird und so betreibbar ist,
daß er als Antwort auf den Schritt der Annahme der Nichtpositivität mit dem Ausgangstaktsignal
zählt.
8. Verfahren nach Anspruch 7, bei dem bei dem Schritt, bei dem ausgewählte der Eingangs-Strobe-Signale
ausgewählt werden, ausgewählte der Eingangs-Strobe-Signale in der Weise kombiniert
werden, daß nur eines der Zwischenspeichereingangssignale zu einem beliebigen Zeitpunkt
einen H-Zustand aufweist.
9. Verfahren nach Anspruch 8, bei dem bei dem Schritt, bei dem die Zwischenspeicherausgangssignale
kombiniert werden, das Zwischenspeicherausgangssignal, das der einen der Zwischenspeicherschaltungen
zugeordnet ist, mit dem einen der Eingangs-Strobe-Signale, das sich nicht in der Nähe
einer seiner Übergangszeiten befindet, kombiniert wird.
10. Verfahren nach Anspruch 9, bei dem bei dem Schritt, bei dem das Zwischenspeicherausgangssignal
kombiniert wird, das Zwischenspeicherausgangssignal, das der einen der Zwischenspeicherschaltungen
zugeordnet ist, mit dem einen der Eingangs-Strobe-Signale (78), das sich in der Mitte
seines H-Zustands befindet, kombiniert wird
11. Verfahren nach Anspruch 9, bei dem bei dem Schritt, bei dem das Zwischenspeicherausgangssignal
kombiniert wird, das Zwischenspeicherausgangssignal, das der einen der Zwischenspeicherschaltungen
zugeordnet ist, mit dem einen der Eingangs-Strobe-Signale (76), das sich in der Mitte
seines L-Zustands befindet, kombiniert wird
1. Appareil pour implémenter un temporisateur comprenant
des circuits de sélection (7, 9) pour sélectionner dans une pluralité de signaux d'activation
d'entrée (10, 12, 14, 16) pour générer un signal d'horloge de sortie (62, 64);
un compteur (110) couplé auxdits circuits de sélection et prévu pour compter une période
de temps prédéterminée en réponse audit signal d'horloge de sortie ; et
caractérisé en ce que lesdits circuits de sélection incluent une pluralité de circuits à verrouillage chacun
ayant une entrée de mise à un (30, 34, 38, 42) et une entrée de mise à zéro, chaque
entrée de mise à un étant apte à répondre à une d'une pluralité de combinaisons desdits
signaux d'activation d'entrée et chaque entrée de mise à zéro étant apte à répondre
à un signal de mise à zéro (18).
2. Appareil de la revendication 1, dans lequel chacun desdits signaux d'activation d'entrée
a une fréquence et une phase associées et dans lequel ladite fréquence associée de
chacun desdits signaux d'activation d'entrée est égale à une fréquence de base et
dans lequel ladite phase associée de chacun desdits signaux d'activation d'entrée
est un décalage par rapport à une phase de base.
3. Appareil de la revendication 1 ou de la revendication 2, dans lequel seule une de
ladite pluralité de combinaisons desdits signaux d'activation d'entrée est activée
à un moment quelconque.
4. Appareil de l'une quelconque des revendications précédentes, dans lequel ledit signal
de mise à zéro est activé et dans lequel chacun desdits circuits à verrouillage est
prévu pour générer un signal de sortie à verrouillage et pour empêcher lesdits autres
desdits circuits à verrouillage d'être mis à un en réponse à ladite une desdites combinaisons,
desdits signaux d'activation d'entrée d'être activés et desdits signaux de mise à
zéro d'être désactivés.
5. Appareil de l'une quelconque des revendications précédentes, dans lequel lesdits circuits
de sélection incluent en outre des circuits (52, 54, 56, 58) pour combiner ledit signal
de sortie à verrouillage avec un desdits signaux d'activation d'entrée pour générer
ledit signal d'horloge de sortie.
6. Appareil de la revendication 5, dans lequel lesdits circuits de combinaison sont en
outre prévus pour combiner ledit signal de sortie à verrouillage avec un desdits signaux
d'activation d'entrée qui n'est pas proche d'un de ses temps de transition.
7. Procédé d'implémentation d'un temporisateur dans un appareil selon la revendication
1, lequel procédé comprenant
la génération d'une pluralité de signaux d'activation d'entrée ayant chacun une fréquence
associée égale à une fréquence d'horloge de base et une phase associée égale à une
phase d'horloge de base plus un décalage associé ;
la combinaison de signaux sélectionnés d'une pluralité de signaux d'activation d'entrée
(10 ; 12 ; 14 ; 16) pour générer une pluralité de signaux d'entrée à verrouillage
;
d'association de chacun desdits signaux d'entrée à verrouillage avec une entrée mise
à un d'un des circuits à verrouillage;
la désactivation d'un signal de mise à zéro (118) à l'entrée de mise à zéro desdits
circuits à verrouillage pour permettre aux circuits à verrouillage d'être mis à un
;
la combinaison d'un signal de sortie de verrouillage associé avec un desdits circuits
à verrouillage avec un desdits signaux d'activation d'entrée pour générer un signal
d'horloge de sortie (62 ; 64), ledit signal de sortie à verrouillage étant généré
par chacun d'une pluralité de circuits à verrouillage (90 ; 92 ; 94 ; 96) ayant une
entrée de mmise à un associée (30 ; 34 ; 38 ; 42) et une entrée de mise à zéro ; et
l'association dudit signal d'horloge de sortie avec une entrée d'un compteur (110),
ledit compteur étant maintenu mis à zéro par le signal de mise à zéro et prévu pour
compter avec ledit signal d'horloge de sortie en réponse à ladite étape de désactivation.
8. Procédé de la revendication 7, dans lequel ladite étape de combinaison de signaux
sélectionnés des signaux d'activation d'entrée inclut la combinaison de signaux sélectionnés
des signaux d'activation d'entrée, de sorte que seulement ledit un desdits signaux
d'entrée à verrouillage est haut à un moment quelconque.
9. Procédé de la revendication 8, dans lequel ladite étape de combinaison de la sortie
à verrouillage inclut la combinaison de la sortie à verrouillage associée avec ledit
un des circuits à verrouillage avec ledit un des signaux d'activation d'entrée qui
n'est pas proche d'un de ses temps de transition.
10. Procédé de la revendication 9, dans lequel ladite étape de combinaison de la sortie
à verrouillage inclut la combinaison de la sortie à verrouillage associée avec ledit
un des circuits à verrouillage avec ledit un des signaux d'activation d'entrée (78)
qui est à mi-distance à travers sa période haute.
11. Procédé de la revendication 9, dans lequel ladite étape de combinaison de la sortie
à verrouillage inclut la combinaison de la sortie à verrouillage associée avec ledit
un des circuits à verrouillage avec ledit un des signaux d'activation d'entrée (76)
qui est à mi-distance à travers sa période basse.