Channel randomization for backoff efficiency improvement

1. A terminal for a communication system, comprising:

a transmitter configured to send scan request messages through a plurality of communication channels according to a respective channel sequence that specifies a succession of time intervals and a respective communication channel to be used during each interval, wherein the plurality of communication channels of the channel sequence are randomized with respect to the intervals that are respective to the terminal by:

(a) randomly or pseudo-randomly independently determining the respective communication channel to be used in each interval; or

(b) dividing the succession of intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and each block independent of the other blocks; or

(c) dividing the succession of intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and with different channels to be used in adjacent intervals in adjacent blocks;

wherein step (c) includes computing, for each successive block k, a seqID k value according to:

seqID k =mod(baseSeqID k-1 +rand{0, . . . , ( n− 1)·( n− 1)!−1} k , n !)

in which n is a total number of channels, mod (.,.) represents a modulo function, rand{.} represents a randomization function, .! represents factorial, baseSeqID k-1 is a completeness parameter, the channels are respectively numbered 1, 2, . . . , n, and seqID 0 =rand{0, . . . , n!−1}; and retrieving for each successive block k a stored channel sequence corresponding to the seqID k value.

2. The terminal of claim 1 , wherein the respective randomization is a mutually independent randomization over a plurality of successive intervals such that in any block of successive intervals, a communication channel is included at most once.

3. The terminal of claim 1 , wherein the respective randomization is such that a communication channel to be used in a last interval in a block of successive intervals is not to be used in a first interval in a next successive block.

4. The terminal of claim 1 , wherein the terminal is a BLUETOOTH device.

5. A method of generating a randomized channel sequence for a transmitter, comprising:

identifying, in the transmitter, a plurality of communication channels to be used in the sequence, wherein the sequence includes a succession of intervals with each interval having a respective communication channel to be used during the interval; and

randomizing, in the transmitter, the channels to be used in the channel sequence by:

(a) randomly or pseudo-randomly independently determining the respective communication channel to be used in each interval; or

(b) dividing the succession of intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and each block independent of the other blocks; or

(c) dividing the succession of intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and with different channels to be used in adjacent intervals in adjacent blocks;

wherein step (c) includes computing, for each successive block k, a seqID k value according to:

seqID k =mod(baseSeqID k-1 +rand{0, . . . , ( n− 1)·( n− 1)!−1} k , n !)

in which n is a total number of channels, mod (.,.) represents a modulo function, rand{.} represents a randomization function, .! represents factorial, baseSeqID k-1 is a completeness parameter, the channels are respectively numbered 1, 2, . . . , n, and seqID 0 =rand{0, . . . , n!−1}; and retrieving for each successive block k a stored channel sequence corresponding to the seqID k value.

6. The method of claim 5 , wherein step (b) includes generating a random or pseudo-random integer for a respective block as an index in a table of predetermined block channel sequences, and retrieving a stored block channel sequence corresponding to the index.

7. A non-transitory computer-readable medium having stored instructions that, when executed by a computer, cause the computer to carry out a method of generating a randomized channel sequence for a transmitter, wherein the method comprises:

identifying a plurality of communication channels to be used in the sequence, wherein the sequence includes a succession of intervals with each interval having a respective communication channel to be used during the interval; and

randomizing the channels to be used in the channel sequence by:

(a) randomly or pseudo-randomly independently determining the respective communication channel to be used in each interval; or

(b) dividing the intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and each block independent of the other blocks; or

(c) dividing the intervals into successive blocks that each include a plurality of successive intervals and randomly or pseudo-randomly determining the channels to be used in each block, with each channel in a block to be used only once in that block and with different channels to be used in adjacent intervals in adjacent blocks;

wherein step (c) includes computing, for each successive block k, a seqID k value according to:

seqID k =mod(baseSeqID k-1 +rand{0, . . . , ( n− 1)·( n− 1)!−1} k , n !)

in which n is a total number of channels, mod (.,.) represents a modulo function, rand{.} represents a randomization function, .! represents factorial, baseSeqID k-1 is a completeness parameter, the channels are respectively numbered 1, 2, . . . , n, and seqID 0 =rand{0, . . . , n!−1}; and retrieving for each successive block k a stored channel sequence corresponding to the seqID k value.

8. The non-transitory computer-readable medium of claim 7 , wherein step (b) includes generating a random or pseudo-random integer for a respective block as an index in a table of predetermined block channel sequences, and retrieving a stored block channel sequence corresponding to the index.