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Note that the choice of omax governs the value of L (ie, once the maximum allowed Hamming weight is set, the number of error events L is known) We term e an error vector and E the set of error vectors The set E contains all the low weight error events, which are the most likely deviations in the trellis As with standard union-bound techniques for convolutional codes [9], the low weight terms will dominate the error probability Hence, it is suf cient to choose a small wmax the MB-OFDM code of rate Rc 1 [2 4] has 2 a free distance of 9 after puncturing, and choosing wmax = 14 (resulting in a set of L = 242 error vectors of maximum length l = 60) provides results that are not appreciably different from those obtained using larger wmax values.

Summary

We obtained E by modifying an algorithm for calculating the convolutional code distance spectrum [21] in order to store the code output sequences (ie, the error vectors e ) in addition to the distance spectrum information 1152 Pairwise Error Probability for an Error Vector We assume that the transmitter selects RcRmNd random message bits for transmission, denoted by b b1 b2 bRc Rm Nd T The vectors c and cp of length Lc = RmNd represent the bits after encoding/puncturing and after interleaving, respectively The bits cp are then modulated using QPSK on each subcarrier, and the resulting Nd -modulated symbols are denoted by x x1 x2 xNd T At the receiver, we denote the estimate of the original bitstream, produced by the ^ ^ ^ Viterbi decoder, as ^ b1 b2 bRc Rm Nd T .

b We now consider error events starting in a given position i of the codeword (1rirLc) For a speci c error vector e (1r rL), form the full error codeword qi; 0 0{z 0 e | {z 0 T | } |{z} 0 0 }.

RESEARCH ON MOTIVATION AT THE SITUATIONAL LEVEL As discussed previously, situational motivation refers to the motivation individuals experience while engaging in a given activity at a specific point in time An example would be the basketball player who is practicing her jump shot at 3:00 PM on a Saturday for the sheer pleasure of executing the movement and feeling the flow of the movement In this section, the studies dealing with the determinants and consequences of situational motivation in sport and physical activity are reviewed Determinants Several motivational determinants have been studied Below, we focus on rewards and awards, competition, positive and negative feedback, and choice Rewards and Awards The use of rewards, in particular, has attracted a lot of attention at the situational level over the past 10 years.

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Similarly, in a survey of nurses, Linton and Buer (1995) found that the majority reported moderate to severe pain often or always but they indicated that they had not missed a single day of work due to pain Psychogenic Model of Chronic Pain As is frequently the case in medicine, when physical explanations seem inadequate or when the results of treatment are inconsistent, psychological alternatives are proposed as causal explanations Moreover, if the report of pain is recalcitrant to appropriate treatment that should eliminate or alleviate the pain, it is assumed that psychological processes are involved The Psychogenic view is the opposite side of the coin of the biomedical model If the pain reported is deemed to be disproportionate based on the subjective opinion of the health care provider to any objectively determined pathological process, it may be attributed to psychological causes and thus are psychogenic..

Deci, Koestner, and Ryan (1999, 2001) conducted a metaanalysis of 128 laboratory experiments that revealed that rewards that are provided contingent on engaging in the activity, completing the activity, or reaching a certain level of performance all decrease intrinsic motivation However, rewards that are not expected and that are task-noncontingent (not related to the task) do not decrease intrinsic motivation Finally, although all participants (no gender effects) experience negative effects, children are more affected than college-age students Laboratory research involving tasks associated with sport or exercise has yielded findings similar to that of the Deci et al (1999) meta-analysis Thus, athletes and participants who engage in a sport-related activity to receive a trophy or a reward display a decrease in situational intrinsic motivation as assessed by self-report scales (eg, Thomas & Tennant, 1978) and the free-choice measure (Orlick & Mosher, 1978).

This can be seen as the noise sphere representing the tip of the output vector Y around the transmitted (or true) vector X, whose radius is n PN , which is proportional to the noise power at the input. Since noise and transmitted signals are uncorrelated, 1 n Then |Y|2 n(P + PN ) and the output sequences are inside n-dimensional spheres of radius the origin, as shown in Figure 1.16.

Figure 9-17