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Here, we analyze the performance of SCT and DCT when multiple Bluetooth piconets coexist. Similar to the analysis for Bluetooth in [1, 2], for simplicity we do not consider adjacent channel interference, propagation characteristic, and error correction. We note that the extension of our results to the case where error correction coding is taken into account can be obtained similar to [10]. Suppose n piconets coexist in suf ciently close vicinity so that a frequency collision in two or more packets for the time duration of at least one bit will destroy all the packets involved. Since there is no coordination between these piconets, each piconet has n 1 potential competitors. Different from [1, 2], here we also consider channel noise. The channel noise is assumed to be AWGN. First, we consider the effect of noise on SCT and DCT in AWGN channels. The demodulation of GFSK can be approximated as a coherent continuous phase index h = 0.32 FSK demodulation. Without CCI, the BER due to noise is given in [27] and shown to be approximately achievable with a zero-IF Bluetooth receiver in [28]: Pb a Q p a 1 sinc h cos ph 7:1

Detecting collisions The hitTest method of the MovieClip object detects collisions in a movie. It checks to see if an object has collided with a movie clip and returns a Boolean value (true or false). There are two cases in which you would want to know whether a collision has occurred: to test if the user has arrived at a certain static area on the Stage, and to determine when one movie clip has reached another. With the hitTest method, you can determine these results. You can use the parameters of the hitTest method to specify the x and y coordinates of a hit area on the Stage, or use the target path of another movie clip as a hit area. When specifying x and y, hitTest returns true if the point identified by (x, y) is a nontransparent point. When a target is passed to hitTest, the bounding boxes of the two movie clips are compared. If they overlap, hitTest returns true. If the two boxes do not intersect, hitTest returns false.

The method is modified in [17] by proposing to adjust the transmission power to the distance between the two nodes Finn [14] proposed a Cartesian routing method that allows choosing any successor node that makes progress toward the packet s destination The best choice depends on the complete topological knowledge Finn [14] adopted the greedy principle in his simulation: choose the successor node that is closest to the destination When no node is closer to the destination than the current node, the algorithm performs a sophisticated procedure that does not guaranty delivery Recently, three articles [4, 28, 29] independently reported variations of routing protocols based on direction of destination In the compass routing (or DIR) method proposed by Kranakis, Singh, and Urrutia [28], the source or intermediate node A uses the location information for the destination D to calculate its direction.

The opportunities in mobile commerce have already begun to transform the industry and competitors are racing to gain a foothold and market share. The sophistication of their methods varies dramatically, but the

The location of one-hop neighbors of A is used to determine for which of them, say C, the direction AC is closest to the direction of AD The message m is forwarded to C The process repeats until the destination is, hopefully, reached The GEDIR routing algorithm [47] is a variant of greedy routing algorithm [14] with a delayed failure criterion GEDIR, MFR, and compass routing algorithms fail to deliver messages if the best choice for a node currently holding a message is to return it to the previous node [47] A GFG routing algorithm that guarantees delivery by finding a simple path between source and destination is described in [6] It is based on constructing a planar subgraph (eg, Gabriel graph) and providing routing in the planar subgraph that guarantees delivery.