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Radio data communication system having means for reducing collisions between contending remote stations    

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United States Patent5377192   
Link to this pagehttp://www.wikipatents.com/5377192.html
Inventor(s)Goodings; Rupert Leslie A. (Cambridge, GB3); Carter; Leigh (Cambridge, GB3); Mitchell; Patrick (Cambridge, GB3)
AbstractA radio based communication system comprises a base station (1) and one or more remote stations (2) each incorporating a radio transmitter and receiver to support communication between the base station and each remote station on a down link and between each remote station and the base station on an up link. Each link comprises a plurality of frames of fixed length divided into a fixed number of slots. The base station includes a base control which transmits control data in a general control slot (GC) in each frame of the down link so as to identify to each remote station a down-setup slot (DSU) in each frame of the down link in which the base station (1) is to announce the transmission of data for it and identify at least one down-transfer slot (DTR) in the frame of the down link in which the data is to be transmitted. The control data further identifies an acknowledgement slot (ACK) in each frame of the down link and an up-setup slot (USU) divided into sub-slots (1/4) in each frame of the up link. Each remote station (2) includes a remote control which transmits a request to transmit data to the base station (1) in any sub-slot (1/4) of the up-setup slot (USU) and receives corresponding data in the acknowledgement slot (ACK) of the down link to identify an up-transfer slot (UTR) in the up link in which it is to transmit data to the base station.
   














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Drawing from US Patent 5377192
Radio data communication system having means for reducing collisions

     between contending remote stations - US Patent 5377192 Drawing
Radio data communication system having means for reducing collisions between contending remote stations
Inventor     Goodings; Rupert Leslie A. (Cambridge, GB3); Carter; Leigh (Cambridge, GB3); Mitchell; Patrick (Cambridge, GB3)
Owner/Assignee     Cognito Limited (West Yorkshire, GB)
Patent assignment
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Company News
Publication Date     December 27, 1994
Application Number     07/867,680
PAIR File History     Application Data   Transaction History
Image File Wrapper   Patent Term   Fees
Litigation
Filing Date     August 7, 1992
US Classification     370/348 370/524
Int'l Classification     H04J 003/16
Examiner     Chin; Wellington
Assistant Examiner     Nguyen; Chau T.
Attorney/Law Firm     Young & Thompson
Address
Parent Case    
Priority Data     Nov 13, 1990[GB]9024684
USPTO Field of Search     370/85.2 370/85.7 370/85.8 370/85.1 370/94.2 370/110.1 370/104.1 370/95.1 370/2 370/3 370/4 370/5 370/6 370/7 370/8 370/9 370/10 370/11 370/12 370/13 370/14 370/15 370/16 370/17 370/18 370/19 370/20 370/21 370/22 370/23 370/24 370/25 370/26 370/27 370/28 370/29 370/30 370/31 370/32 370/33 370/34 370/35 370/36 370/37 370/38 370/39 370/40 370/41 370/42 370/43 370/44 370/45 370/46 370/47 370/48 370/49 370/50 370/51 370/52 370/53 370/54 370/55 370/56 370/57 370/58 370/59 370/60 370/61 370/62 370/63 370/64 370/65 370/66 370/67 370/68 370/69 370/70 370/71 370/72 370/73 370/74 370/75 370/76 370/77 370/78 370/79 370/80 370/81 370/82 370/83 370/84 370/85 370/86 370/87 370/88 370/89 370/90 370/91 370/92 370/93 370/94 370/95.2 370/95.3 370/94.1 340/825.07 340/825.08 455/54.1 455/38.3 455/38.1 455/34.2 455/38.2 455/34.1
Patent Tags     radio data communication reducing collisions between contending remote stations
   
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5172375
Kou
370/322
Dec,1992

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Amemiya

Nov,1992

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Hoshikawa
370/347
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455/8
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We claim:

1. A method of communicating data over a radio based communication system between a base station and a plurality of remote stations comprising the steps of transmitting data between the base station and each remote station in a down link comprising one or more down frames of fixed duration; transmitting data between each remote station and the base station in an up link comprising one or more up frames of fixed duration; dividing each down frame into a fixed number of down slots at least one of which is a general control slot (GC), at least one other is a down-setup slot (DSU), at least one other is a down transfer slot (DTR), and at least one other is a down acknowledgement slot (ACK); providing control data in said general control slot (GC) to identify for each remote station (2) the down-setup slot (DSU) in which the base station (1) is to announce the transmission of data for each remote station; identifying in a down-setup slot at least one down-transfer slot (DTR) in which data for each remote station is to be transmitted to each remote station; transmitting data in said down-transfer slot to each remote station; dividing each up frame into a fixed number of up slots at least one of which is an up-setup slot, at least one other is an up-transfer slot, and at least one other is an acknowledgement slot; providing control data in said general control slot to identify for each remote station said up-setup slot; dividing the up-setup slot (USU) into a number of sub-slots; each remote station (2) wishing to transmit data to the base station (1) transmitting a reservation request in one of said sub-slots; the base station (1) responding to each such reservation request from a remote station by identifying in a down acknowledgement slot (ACK) at least one up-transfer slot in which each remote station (2) is to transmit data; and each remote station transmitting said data to the base station in said at least one up-transfer slot.

2. A method as claimed in claim 1 in which the base station (1) transmits data in a down acknowledgement slot (ACK) so as to identify a down transfer slot (DTR) of a following frame in which data is to be transmitted to a remote station (2).

3. A method as claimed in claim 1 in which the base station (1) transmits data in a down-transfer slot (DTR) so as to identify a down-transfer slot of a following frame in which more data is to be transmitted to a remote station.

4. A method as claimed in claim 1 in which a group label (MGL) and a transmission set index (TSI) are allocated by the base station to data transmitted in each down-transfer slot to a remote station so as to identify data in different slots that form part of a larger block of data, said remote station identifying said group labels and transmission set indexes of data in each of said plurality of slots received by it from the base station and using said group label and transmission set index to reassemble and verify the completeness of said larger block of data.

5. A method as claimed in claim 4 in which said group label (MGL) is identified in a down slot.

6. A method as claimed in claim 5 in which said group label (MGL) is identified in a down-setup slot (DSU).

7. A method as claimed in claim 1 in which there is a delay of a predetermined number of slots between receipt of data in a setup or transfer slot and transmission of data in a corresponding acknowledgement slot.

8. A method as claimed in claim 1 in which a remote station (2) whilst it has no data to send, is energised to receive only the down-setup slot (DSU) in each frame as identified by control data in the general control slot (GC).

9. A method as claimed in claim 1 in which the base station (1) uses a limited number of the down-setup slots (DSU) to transmit to a particular remote station (2), and said particular remote station (2) is energised to receive only this limited number of down-setup slots (DSU).

10. A method as claimed in claim 1 in which the number of up-setup slots (DSU) used is varied in accordance with the number of remote stations (2) transmitting requests.

11. A method as claimed in claim 1 in which synchronisation data (SYNC) is transmitted in every down slot to enable each remote station to locate each slot within a frame.

12. A method as claimed in claim 1 in which said down link and up link constitutes a master bearer of the radio based communication system, and in which another down link and another up link structured like those of the master bearer but without the general control slot (GC) constitute a slave bearer, synchronization data (SYNC) being transmitted in the down slots of a master bearer to enable a said at least one remote station to recognize the master bearer, and synchronization (SYNC) data being transmitted in the down slots of each slave bearer to enable a said at least one remote station (2) to retune to the master bearer.

13. A radio based communication system comprising a base station and one or more remote stations each incorporating a radio transmitter and receiver to support communication between the base station and each remote station on a down link and between each remote station and the base station on an up link, each link comprising a plurality of frames of fixed length divided into a fixed number of slots wherein the base station (1) includes base control means which transmits control data in a general control (GC) slot in each frame of the down link so as to identify to each remote station a down-setup slot (DSU) in each frame of the down link in which the base station (1) is to announce the transmission of data for each remote station to identify at least one down-transfer slot (DTR) in the frame of the down link in which said data for said remote station is to be transmitted to said remote station, the control data further identifying an acknowledgement slot (ACK) in each frame of the down link and an up-setup slot (USU) divided into sub-slots (1/4) in each frame of the up link, each remote station (2) including remote control means which transmits a reservation request to transmit data to the base station in any sub-slot (1/4) of the up-setup slot (USU) and receives corresponding data in the acknowledgement slot (ACK) of the down link to identify an up-transfer slot (UTR) in the up link in which it is to transmit data to the base station (1).

14. A method of communicating data over a radio based communication system between a base station and one or more remote stations comprising the steps of transmitting data between the base station and each remote station in a down link comprising one or more down frames of fixed duration; transmitting data between each remote station and the base station in an up link comprising one or more up frames of fixed duration; dividing each down frame into a fixed number of down slots at least one of which is a general control slot, and at least one other is a down-setup slot; providing control data in said general control slot to identify for each remote station the down-setup slot in which the base station is to announce the transmission of data for each remote station; dividing each up frame into a fixed number of up slots at least one of which is an up-setup slot; providing control data in said general control slot to identify for each remote station said up-setup slot; dividing said up-setup slot into a number of sub-slots; each remote station wishing to transmit data to the base station transmitting a reservation request in one of said sub-slots; each remote station receiving said control data in said general control slot to identify said down-setup slot and said up-setup slot, and thereafter receiving data in said down-setup slot only, at least, until directed by the base station to again receive control data in said general control slot.
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TECHNICAL FIELD

This invention relates to a method of and a system for communicating data, in particular communicating data across a radio based communication system.

DISCLOSURE OF THE INVENTION

The present invention consists in a method of communicating data over a radio based communication system between a base station and one or more remote stations wherein the data is transmitted between the base station and each remote station in a down link comprising one or more down time-frames of fixed length, and data is transmitted between each remote station and the base station in an up link comprising one or more up time-frames of fixed length, each down frame comprising a fixed number of down slots at least one of which is a general control slot, at least one other is a down-setup slot, at least one other is a down transfer slot, and at least one other is a down acknowledgement slot, control data in the general control slot serving to identify to each remote station the down-setup slot in which the base station is to announce the transmission of data for it and identify the down-transfer slot or slots in which said data is to be transmitted, and each up frame comprising a fixed number of up sloes at least one of which is identified by control data in the general control slot as an up-setup slot, at least one other is an up transfer slot, and at least one other is an up acknowledgement slot, the up-setup slot being divided into a number of sub-slots in which each remote station can transmit a request to transmit data to the base station, and the base station serving to respond to such a request in a down acknowledgement slot by identifying the up transfer slot or slots in which the remote station is to transmit said data.

The communication of data on the down link and up link involves two phases: a setup phase and a data transfer phase, with a separate slot or group of slots, i.e. data channels, being allocated for each phase. The advantage of this technique is that the data transfer channel need not be loaded with data unless the setup phase is successful, and the setup messages can be very short and hence use very little bandwidth. This is especially advantageous for transmissions on the up link, since the remote stations, which may be a mobile fleet of users, are necessarily uncoordinated and will therefore contend for channel capacity. Contention channels, whether operating in Aloha- or CSMA- type modes, have to be operated at low utilisations to avoid instability. By ensuring that contentions take place only between short setup messages, even though the contention time-slots have to be operated at low utilisation, this has little impact on the overall efficiency of channel usage. The base station responds to a successful up-setup request by allocating capacity on a data transfer channel, which thereby may be operated in a "scheduled" manner at high utilisation. Similarly, as packets arrive at a base station to be transmitted to a particular remote station, the base station first executes a down-setup to tell the remote station to monitor the down data transfer channel, then schedules the data itself into the down data transfer channel.

Preferably, all data transmitted in the down transfer slot is labelled with a mobile group label by which it is identified by the remote station or stations to which it is addressed.

The down-setup slot contains data which identifies the mobile or group of mobiles to which a message is to be sent, i.e. the mobile group label allocated to that message. The mobile or mobiles then identify that message simply by reference to the mobile group label as attached to data in one or more down transfer slots until the complete message has been received.

In an alternative embodiment of the invention, however, the down-setup phase may be incorporated in a down acknowledgement slot which the base station transmits in response to a message from a mobile so that the mobile is more rapidly setup to receive a message or reply, thereby shortening the response time. Furthermore, where the reply is so long that it is divided into a number of separate part messages, each part message is adapted so as to include the relevant down setup data for the next part message, again avoiding the need for a separate down setup phase and thereby shortening the overall response time.

According to a further feature of the invention, any transmission from a mobile station in response to a message received from the base station may be delayed in time by at least a minimum number of time-slots; and further a transmission from the base station in response to a message received from a mobile may be delayed by at least a minimum number of slots. By this means the radio subsystem of the mobile need not be capable of changing from transmit mode to receive mode very quickly; and the time available for processing signals and protocol messages in the mobile and base station can be maximised.

According to a further feature of the invention, a mobile which does not have data to send during a given period of time, need only activate its receiving and decoding circuits for at least the one down-setup slot in each frame in which the base station announces the transmission of messages for the mobiles, and by this means the power consumed in the mobile may be minimised.

Further reductions in power consumption by a factor of "n" may be obtained by the mobile only activating its receive and decoding circuits for down-setup slot of every "n'th" frame, provided that the base station is aware that this action is being followed and sends transmission announcements for such mobiles only in the appropriate frames.

A further feature of the invention allows the base station to announce changes to the use being made of slots in the up and down frames using the general control slots of the down frame, messages announcing such changes not requiring acknowledgement of successful reception by the mobiles. For example, the number of up-setup slots divided into sub-slots for mobiles to request the setting-up of a data transfer channel, may be varied depending on the degree of load on the system, this change being announced via the general control slots of the down frame. The number of up-setup slots divided into subslots may be varied in accordance with the number of subslots in which collisions between mobile requests take place, and information contained in the request messages themselves as to the number of unsuccessful attempts prior to success.

The use of a slotted ALOHA type system allows the use of low-cost, non-duplex radios.

As with conventional radio based communication systems operating with a slotted ALOHA type system, in order to ensure efficient operation of the system it is important that the base station and the mobile are in alignment with each other. This is achieved using a synchronisation signal which is regularly transmitted by the base station and which allows the mobile to know exactly where it is in a frame.

Preferably, the base station supports radio communication with mobiles on at least one or a multiplicity of duplex information bearers, each comprising a down link and an up link with a frame structure as described earlier, where the overall structure is announced and controlled using the general control slot on one bearer designated a master bearer, all other bearers being slave bearers; and the synchronising information transmitted in the down slots of a master bearer carry information allowing a mobile to rapidly recognise the master bearer, and the synchronising information of slave bearers carry information allowing a mobile to rapidly retune to a master bearer in order to receive information on the overall use being made of down and up slots on all bearers.

DESCRIPTION OF THE DRAWINGS

The invention will now be described by way of example with reference to the accompanying drawings, in which:

FIG. 1 shows a schematic representation of a communication system for utilising the present invention; and

FIGS. 2 to 22 show representations of the frames used in the method of transmitting data in accordance with the present invention, in particular,

FIG. 2 shows the frame formats,

FIG. 3 shows frame related information (down only),

FIG. 4 shows the protocol layer 2 structure (up and down),

FIG. 5 shows the protocol layer 2 structure (up),

FIG. 6 shows details of the upslot timing,

FIGS. 7a and 7b show arrangements of differential encoding,

FIG. 8 shows slot data encoding,

FIGS. 9a and 9b show the encoding of [1/1] and [1/4] slots,

FIG. 10 shows the interleaving process for [1/1] slot,

FIG. 11 shows the base/mobile data flows,

FIG. 12 shows the radio system implementation model,

FIG. 13 shows the down packet set up,

FIG. 14 shows the down packet transfer,

FIG. 15 shows the protocol layer 3 down link slot contents,

FIG. 16a to 16b shows the protocol layer 3 up slot contents,

FIG. 17 shows the down link packet sementation,

FIG. 18 shows the up link packet assembly,

FIG. 19 shows the message segmentation,

FIG. 20 shows a user/host interaction pattern,

FIG. 21 shows the segmentation of an application message in the system of FIGS. 1 to 20, and

FIG. 22 shows the segmentation of an application message in an alternative body of the invention.

MODE OF CARRYING OUT THE INVENTION

FIG. 1 illustrates a radio based communication system comprising a fixed network of radio base stations or sites 1 and one or more mobile stations 2. Each base station has a radio port controller (RPC) associated with it that predetermines the number of radio frequency bearers that it employs. Communication bearers are formed by pairs of r.f.channels one for transmission of data from the base station 1 to mobile station 2 (downlink) and the other of which is for transmission of data from the mobile station 2 to the base station 1 (uplink). Each channel is therefore simplex.

The communication system operates according to a protocol which is designed using a layered approach. Layer 1 defines the basic radio parameters and is not described in any detail herein. In one embodiment of the system, it permits the transmission of data at a rate of 6144 bits per second. Layer 2 defines a frame and slot structure that allows the bearers to carry time multiplexed data between the base stations and the mobile stations, and also defines a Forward Error Correction (FEC) scheme. Layer 3 defines the allocation of slots into a selection of data channels. Data is sent as a connected series of one or more slots called Transmission Sets (TS) between Radio Multiplexing/Demultiplexing (RMD) means at each end. The RMD means is responsible for any retransmission of lost slots.

Layer 2 is described in the following sections 1.1 to 1.4. Layer 3 is described in terms of a network overview in the following sections 2.1 to 2.10, and in terms of control in the following sections 3.1 to 3.11.

LAYER 2--Data Link Layer

1.1. Frame Format

Each of the bearers transmits data in one or more frames which contains data as a series of time multiplexed slots, all of which slots are of the same length, and are grouped into predefined frames, as shown in FIG. 2.

The frame grouping is defined indirectly by the slot trailers, on all downlinks. Each downslot trailer (DST) comprises three bits, sync a, sync b and sync c, as shown in FIG. 4 and provides synchronisation for the individual downslots. A particular sequence of downslot trailers defines the frame. The sequence of downslot trailers also provides specific bearer information detailed below.

Uplinks also contain a series of slots that may be transmitted by different mobiles. Each of these mobiles is required to align its upslot transmission to the downslot timing. A simpler upslot trailer (UST) is used on all upslots comprising a single bit sync and a gap, as shown in FIG. 4. This upslot trailer only provides slot synchronisation, and carries no frame information.

The number of slots in a frame (the frame format) may lie in the following range:

______________________________________ Minimum Maximum ______________________________________ Slots/frame 14 26 slots even numbers only Bits/slot 768 768 bits ______________________________________

All bearers from any one base station or site 1 are required to have the same frame format, with their frames aligned to within 1 bit in order to allow mobile stations 2 to switch between slots on different bearers yet maintain synchronisation.

Frame alignment between different base sites is optional but desirable.

In principle, the protocol allows for different frame formats at different base sites.

FRAME RELATED INFORMATION (DOWNLINK ONLY)

Frame related information is encoded into all the downlink slot trailers (DST) of a frame, as shown in FIG. 3. Each Radio Port Controller (RPC) transmits one master bearer and up to 3 slave bearers. It is important that mobiles can identify slot 0 of the master bearer as quickly as possible, and this is therefore the major component of frame related information. However, the complete frame related information uses all the encoded bits from every slot of a frame. This information contains:

identification of master or slave bearer

identification of slot 0 of a master or slave bearer

a dotting pattern for synchronisation

definition of the frequency offset from a slave to its master.

All the information bits are encoded in the downslot trailers using the synchronisation codewords defined below. Each trailer contains 3 concatenated synchronisation codewords, and each of these codewords encodes one bit of information N=NSYNC as I=ISYNC. The complete frame related information can either be viewed as 3 encoded bits per slot, or as three parallel sequences (seq-A, seq-B, seq-C) that repeat once per frame as shown in FIG. 3. FIG. 3 shows the sequences for the minimum frame format of 14 slots and for 4 extra slots for an extended frame format.

Specifically, the frame related information is defined by the following combinations of the encoded bits. Here, the encoded bits are referred to by their sequence letter:

Master/Slave

Master and slave bearers are clearly distinguished in every slot trailer by the combination of seq-A and seq-B. The encoded bits of seq-A and seq-B in each slot of a master have the same polarity, whereas the encoded bits of seq-A and seq-B in each slot (except slot 0) of a slave have opposite polarity.

Slot 0

The location of Slot 0 can be immediately identified by the combination of seq-A, seq-B and seq-C:

An [NSYNC] in all three encoded bits identifies slot 0 on a master bearer An [ISYNC] in all three encoded bits identifies slot 0 on a slave bearer.

Slot 0 location is used to provide frame synchronisation. It can also be used as a confirmation of the frame length, since the frame length, given by the distance between two successive slots 0's, must equal the predefined value.

Frame Dotting

Frame dotting is introduced to reduce the risk of false frame sync acquisition. Seq-B always contains a dotting sequence:

[ . . . ,NSYNC,ISYNC,NSYNC,ISYNC, . . . ]

This dotting pattern is a mandatory aspect of successful slot and frame acquisition.

Frequency Offset

The frequency offset differs from the other information, because it requires one encoded bit from several trailers (slot 1 to slot 12 inclusive). These 12 encoded bits are shown as F in seq-C of a slave bearer in FIG. 3. Together these encoded bits define the offset from that slave bearer to the master bearer (of the same RPC) as a 12 bit 2's complement value. The most significant bit is at slot 1, the least significant at slot 12.

1.2 Slot Formats

The full slot length is designed for optimum segmentation of user messages up to 256 octets long. The protocol also provides an option of subdividing one or more upslots into [1/4] subslots, as shown in FIG. 5. These subslots are used on the uplink only to allow for very short contention subslots.

The slots and subslots supply the following range of data capacity to layer 3 of the protocol:

[1/1] slot 510 bits (10 forward error correction FEC blocks of 51 bits) of layer 3 data

[1/4] slot 102 bits (2 forward error correction FEC blocks of 51 bits) of layer 3 data.

Slot Summary

The slot formats are designed to use an exact number of forward error correction (FEC) blocks in all the slot formats. The contents of each slot are defined in the following components as shown in FIGS. 4 and 5:

______________________________________ DOWNLINK UPLINK ______________________________________ Encoded slot data (ESD) Padding Down slot trailer Encoded slot data (ESD) Up slot trailer Up slot Gap ______________________________________

Padding

A minimum of 2 bits of padding is provided on all uplink slots, to provide initialisation for the differential decoding if required. No padding is added to downslots, since a mobile receiver can initialise its decoding on the trailer of the previous slot. Padding is placed at the start of each upslot or upsubslot, and the padding bits are filled with a dotting pattern. The dotting pattern used is:

[01] on upslots

Transmission of this padding is mandatory. The protocol also allows for optional transmission of further padding by mobiles.

Optional Uplink Padding

Mobiles are permitted to transmit additional padding bits at three points:

during the carrier attack time.

during the carrier release time.

in the gap between slots, when the mobile is transmitting successive slots.

If transmitted, this dotting must be fully synchronous to the encoded slot data. Optional padding can only be added in steps of 2 bits (i.e. an odd number of padding bits is not allowed).

No other data pattern is allowed if this optional dotting is not transmitted.

Down Slot Trailer

A down slot trailer is transmitted at each slot position. The down slot trailer DST uses three synchronisation codewords that together provide a synchronisation sequence. Each 16 bit codeword can be used normal or inverted, to encode 1 bit of information. Each codeword is used to encode one bit of one of the frame sequences as follows:

Codeword 2:1=NSYNC:0=ISYNC:(one bit of seq-C)

Codeword 1:1=NSYNC:0=ISYNC:(one bit of seq-B)

Codeword 0:1=NSYNC:0=ISYNC:(one bit of seq-A)

The encoding uses the following complementary sync words:

NSYNC (Normal sync): [1100 0100 1101 0111]

ISYNC (Inverted sync): [0011 1011 0010 1000]

All mobile receivers are expected to be able to ocate slots to an accuracy of +/-10 bits by simple timing from a previous slot where frame sync had been acquired.

Up Slot Trailer

An up slot trailer UST is also required at each slot and subslot position. This contains the single up slot synchronisation codeword:

Codeword 0:USYNC

USYNC (Up sync): [0011 1001 01]

All mobiles are assumed to be able to transmit slots to an accuracy of +/-1 bit by timing (using the down slot trailer to provide slot and frame sync). The up slot trailer UST is designed to provide synchronisation to cover three sources of error:

the mobile timing error of +/-1 bit (just described)

a base timing error of +/-1 bit

0 to 2 bits of propagation delay

This gives a total of 6 bits of timing and propagation errors. The overall synchronisation requirement is therefore +/-3 bits.

Up Slot Gap

The up slot gap is used to allow for time division multiplexing and timing errors on the uplink. This gap allows for the following elements:

30 bits to provide carrier attack/release time (of approximately 5 msec at 6.144 kbps)

6 bits to allow for timing and propagation errors.

The timing diagram for upslots (relative to downslots) is shown in FIG. 6. The timing shown is all referred to the base antenna, but the timing referenced to each mobile antenna will differ depending on its distance from the base (i.e. the propagation delay).

All mobiles behave as though their antenna is adjacent to the b