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B c @DENFQRUVWg ? .`T%`T`T.`T%`T`T`T @ @ `P`T`TArc 53@P H  2   "  bg ?Rectangle 540 `  2    T`g ?Text Box 551 Z  rProfilers provide substantially higher temporal resolution than balloons Balloons provide somewhat higher spatial resolution than profilers Is the temporal resolution of profilers required (in other words, is it worth the expense?) Is the spatial resolution of profilers adequate?   T_g ?Text Box 56% =Point measurements approximately every 30 m (for jimspheres)>> >  x <b:  C *Group 57" p    h`g ?Rectangle 58<b: 2  2   ^g ?Oval 592   2    x @  C *Group 60" N    C *Group 61" R  hg ?AutoShape 62  2  R  n{`g ?AutoShape 63^ 2  2    Ag ?*Oval 64Wide upward diagonal . 2  N    C *4 Group 65"@R  hg ?AutoShape 66  2  R  n{g ?AutoShape 67^ 2  2    Ag ?*Oval 68Wide upward diagonal . 2  Z x  3  C *Group 69"x  3R  nX@g ?AutoShape 70  3 2  R  n`g ?AutoShape 71E  / 2   2  B  4 Ag ?*Oval 72Wide upward diagonalx  c 2  r  B bg ?AutoShape 73  2    Tg ?Text Box 74=Z  AActual vertical resolution 300 - 500m. Temporal resolution 5 min.B(2B B   Tg ?Text Box 75'F  CActual vertical resolution 150 - 300m. Temporal resolution 60 min.D(2D D  ̙33" f^ $F(  $ $  xgֳgֳ?Rectangle 2H  0 .Data Set   $ `gֳgֳ?Rectangle 4," |Season: 29 September 1995 through 26 March 1996 - total of 117 days. Florida winter season characterized by strong westerlies and subtropical jet. Altitude: Range Gates 28 through 100 corresponding to the range from 6211 m to 17011 m. Eliminated known problems with ground clutter and lack of signal at the lowest and highest range gates, respectively. Maintained altitudes of primary concern to vehicle launch community. Sample Size: For assessing the frequency of significant wind changes, over 25 000 wind profiles were accepted for analysis. For assessing the vertical resolution, only days with over 100 consecutive  good profiles were used. 93 days met this criteria resulting in 23045 profiles.     @    ̙33" 0((  ( (  x`gֳgֳ?Rectangle 2H  0 5Data QC Process " (  xgֳgֳ?Rectangle 3(  0 V1. Data excluded from analysis if QC logs (see Part I) indicated processing algorithm was affected by obvious sidelobe or other interference signal. 2. Entire profiles with excessive vertical velocities were eliminated (suspect precipitation contamination). 3. Wind estimates with excessive spectral widths were eliminated from the data set (suspect interference signal). 4. Small median test for height and time continuity. (Details in Mon. Wea. Rev., 123, 2165-2180.) 5. Wind estimates with excessive vertical shear or insufficient SNR were eliminated from data set. 6. Manual examination of speed and direction contours for discrimination of natural features such as jet streaks from artifacts such as sidelobe signatures. 8  @`& ( Xg ?Text Box 4,& DQuality control absolutely necessary for evaluating tail statistics.EE E  ̙33"  "  @, (  ," , X g ?Text Box 4 @Methodology for determining wind change probability distributionAA A > ,  xgֳgֳ?Rectangle 7H  0 r0Probability Distribution of Wind Changes in Time11 1~ , Xg ?Text Box 9 S  *Mn = exp(nm + n2s2/2)     G , Zg ?Text Box 10 W   #where Mn is the nth central moment.X$   $  ,  `gֳgֳ?Rectangle 12,P  0 1. Computed composite statistical moments (mean, standard deviation, skewness, and kertosis) of the horizontal wind changes over .25, 1, 2, and 4 hours for entire data set. 2. Compared composite statistics to statistics computed for range gates 32 to 34 (6811 m to 7161 m) only to qualify vertical homogeneity. 3. Noted that data appeared to be lognormally distributed (versus Gaussian). 4. Computed statistical moments and solved for parameters m and s of the lognormal distribution based on the moment equation:jCC< @` ̙33" LDP,(  >   x gֳgֳ?Rectangle 2H  0 r0Probability Distribution of Wind Changes in Time11 1   rA ?g ?Object 6  ̙33" LD`,(  >   x gֳgֳ?Rectangle 2H  0 r0Probability Distribution of Wind Changes in Time11 1   rA ?g ?Object 5>  ̙33" LDp ,(   >   x@gֳgֳ?Rectangle 2H  0 r0Probability Distribution of Wind Changes in Time11 1    rA ?g ?Object 51  ̙33" LD,(  >   x`gֳgֳ?Rectangle 2H  0 r0Probability Distribution of Wind Changes in Time11 1   rA ?g ?Object 47  ̙33"    0z (  0> 0  xgֳgֳ?Rectangle 2H  0 r0Probability Distribution of Wind Changes in Time11 1 0 X@g ?Text Box 4 6Consequences of Lognormal versus Gaussian distribution77 7  0 R`g ?Text Box 6@v  BNeed graph here. I m not sure of equation - before I go through the work to make one, I d like your opinion. Are we comparing the right things here. If assuming the logs are normally distributed, then we base probabilities on the sigma derived from the normal distribution of the logs. If we are assuming the differences themselves are Gaussian, then should we compare the sigma computed from the differences themselves rather than from the logarithm s distribution? Basic stat question, should the sample mean and standard deviation computed from the original differences be equal to the derived mean and standard derived from the sample mean and standard deviation of the logarithm of the differences? In other words, in eq s 6-8 of the rockets paper, what is S and how was it calculated? (Is it the differences sample std. Or is it the std of the log of the differences?) ww w B 0 \g ?Line 70 0 B 0 \g ?Line 8TZZ  ̙33" 7/4(  4j 4  x@gֳgֳ?Rectangle 2t  0 \Lifetime of Mid-Tropospheric Features as a Function of Vertical Scale - Analysis Methodology]] ]m 4  xgֳgֳ?Rectangle 38  0 Coherence Analysis using wind profile pairs Reduced data range to gates 33-96 (6811 m to 16271 m) Vertical Fourier transforms of 64 gate records Parzen (triangular) window Detrend/Demean Ensemble of 23 045 pairs separated by 5, 15, 30, 60 120 minutes Compute coherence squared Select threshold value of coherence squared to define lifetime of a feature (lifetime is defined the time lag beyond which the coherence squared falls below the threshold. (For this paper that value is 0.25 - incoherent and coherent parts have equal power spectra.)<k$k$ @` ̙33" ZR8:(  8S 8  x gֳgֳ?Rectangle 2H  0 ELifetime of Mid-Tropospheric Features as a Function of Vertical ScaleFF F 8  x gֳgֳ?Rectangle 38 0 Define lm as the vertical scale at which the effective lifetime (Coherence2 = 0.25) is tmin Analysis yielded lm = 127 tmin0.537 or tmin = 1.2E-4 lm1.862C A   C     C    @` 8 XUg ?Text Box 5| )  qA plot here would be nice(2   ̙33" jb<J(  < <  x`Pgֳgֳ?Rectangle 2H  0 -Summary  <  xgֳgֳ?Rectangle 38@ 0 E1. Wind changes are lognormally distributed 2. Extreme events are much more frequent than with a Gaussian distribution. 3. The lifetime of mid-tropospheric features varies roughly as the square of the vertical scale. & @` ̙33" @(  @ @  x`gֳgֳ?Rectangle 2H  0 1 Conclusions ] @  x@Ugֳgֳ?Rectangle 38  0 31. Large wind changes over short time intervals occur frequently enough to justify the cost of using wind profilers to complement balloon measurements on day of launch. 2. 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