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CC2560A wake up time from deep sleep mode

Other Parts Discussed in Thread: CC2560, CC2540

BT (CC2560A) questions:

What average connection times is expected from the time CC2560A is enabled and configured to the time it connects to the host?  Are these times less then ~1 sec. or ~5 seconds?  We are trying to implement power down features and want to know how quickly BT will re-connect.

We are planning to use either an accelerometer interrupt or touch-controller interrupt to wake up the system.  During this this wakeup process, BT will start getting initialized.  Curious what kind of wake-up time and connection time should we expect from CC2560A?

As an example, let's take 2 devices:  A remote control and a STB.  Both devices have been paired previously and are connected.  The user stops using the remote control.  In order to save the battery power, I would like to put the remote control in sleep mode for the first 30 minutes and then deep sleep mode if the device is still not being used.  All this time, the settop box bluetooth remain on.  Once the user picks up the remote control, an interrupt is generated from an accelerometer to start a wakeup sequence.  Our remote control is using MSP430 microController.  MSP430 will then wake up BT from either sleep or deep sleep.  I am trying to figure how long it would take for this remote to connect again with the settop box and start receiving packets.

Since this is a remote control application, any wakeup and connection sequence which takes over 1 second is too long of a time.