6.40.gangzhou.ps

是multiuser detection 这本书的习题解答, 很有用的书.

[0 0 0 1 0 0 0]
[ 0 1 1 0 1 0 0]
[ 1 0 1 0 0 1 0]
[ 1 1 0 0 0 0 1]
[ 1 0 0 0 0 1 1]
[ 0 1 0 0 1 0 1]
[ 0 0 1 0 1 1 0]
 7 FrameSetSepColors
FrameNoSep
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 14 Q
0 X
0 0 0 1 0 0 0 K
(from) 72 710.67 T
(we kno) 72 621.67 T
(w) 112.47 621.67 T
(It\325) 72 532.67 T
(s easy to see when) 84.45 532.67 T
(the minimum of output v) 72 443.67 T
(ariance is achie) 211.66 443.67 T
(v) 297.61 443.67 T
(ed when) 304.4 443.67 T
(correspondingly) 72 354.67 T
(,) 162.08 354.67 T
(and the error probability is) 72 265.67 T
(when) 72 176.67 T
(the minimum of output v) 72 87.67 T
(ariance is achie) 211.66 87.67 T
(v) 297.61 87.67 T
(ed when) 304.4 87.67 T
72 72 540 720 C
78 634 534 706 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
1 12 Q
0 X
0 0 0 1 0 0 0 K
(x) 251.81 670 T
0 9 Q
(10) 257.63 666.4 T
(2) 271.76 676.75 T
1 12 Q
(q) 295.02 670 T
0 9 Q
(2) 301.48 676.75 T
0 12 Q
(1) 311.53 670 T
2 F
(r) 329.53 670 T
0 F
(\366) 330.83 670.59 T
0 9 Q
(1) 336.57 666.69 T
(2) 336.57 676.99 T
0 12 Q
(\320) 320.53 670 T
2 F
(\050) 306.69 670 T
(\051) 341.93 670 T
1 F
(x) 358.83 670 T
2 F
(\243) 348.92 670 T
0 F
(=) 282.26 670 T
248.01 665.35 248.01 679 2 L
0.54 H
2 Z
N
249.74 665.35 249.74 679 2 L
N
267.83 665.35 267.83 679 2 L
N
269.57 665.35 269.57 679 2 L
N
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 545 534 617 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
2 12 Q
0 X
0 0 0 1 0 0 0 K
(c) 274.84 587.66 T
0 F
(1) 263.36 568.23 T
2 F
(r) 281.36 568.23 T
0 F
(\366) 282.66 568.82 T
0 9 Q
(1) 288.4 564.92 T
(2) 288.4 575.21 T
0 12 Q
(\320) 272.36 568.23 T
(-) 263.36 581 T
(-) 265.36 581 T
(-) 267.36 581 T
(-) 269.36 581 T
(-) 271.36 581 T
(-) 273.35 581 T
(-) 275.35 581 T
(-) 277.35 581 T
(-) 279.35 581 T
(-) 281.35 581 T
(-) 283.34 581 T
(-) 285.34 581 T
(-) 287.34 581 T
(-) 288.91 581 T
(\320) 248.27 581 T
1 F
(q) 305.73 581 T
2 F
(c) 344.42 587.66 T
0 F
(1) 332.95 568.23 T
2 F
(r) 350.95 568.23 T
0 F
(\366) 352.24 568.82 T
0 9 Q
(1) 357.99 564.92 T
(2) 357.99 575.21 T
0 12 Q
(\320) 341.95 568.23 T
(-) 332.95 581 T
(-) 334.95 581 T
(-) 336.94 581 T
(-) 338.94 581 T
(-) 340.94 581 T
(-) 342.94 581 T
(-) 344.94 581 T
(-) 346.93 581 T
(-) 348.93 581 T
(-) 350.93 581 T
(-) 352.93 581 T
(-) 354.93 581 T
(-) 356.92 581 T
(-) 358.49 581 T
2 F
(\243) 296.14 581 T
(\243) 314.73 581 T
291.94 598.4 263.12 598.4 259.52 564.41 3 L
0.54 H
2 Z
N
259.52 564.41 257.13 573.34 255.93 568.87 3 L
N
361.53 598.4 332.71 598.4 329.11 564.41 3 L
N
329.11 564.41 326.71 573.34 325.51 568.87 3 L
N
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 456 534 528 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
2 12 Q
0 X
0 0 0 1 0 0 0 K
(c) 280.9 492 T
(r) 309.31 501.5 T
0 F
(\366) 310.61 502.09 T
0 9 Q
(1) 316.36 498.19 T
(2) 316.36 508.49 T
0 12 Q
(1) 300.32 479.51 T
2 F
(r) 318.31 479.51 T
0 F
(\366) 319.61 480.09 T
0 9 Q
(1) 325.36 476.2 T
(2) 325.36 486.49 T
0 12 Q
(\320) 309.31 479.51 T
(-) 300.32 492.28 T
(-) 302.31 492.28 T
(-) 304.31 492.28 T
(-) 306.31 492.28 T
(-) 308.31 492.28 T
(-) 310.31 492.28 T
(-) 312.3 492.28 T
(-) 314.3 492.28 T
(-) 316.3 492.28 T
(-) 318.3 492.28 T
(-) 320.3 492.28 T
(-) 322.29 492.28 T
(-) 324.29 492.28 T
(-) 325.86 492.28 T
2 F
(\243) 290.49 492 T
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 367 534 439 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
1 12 Q
0 X
0 0 0 1 0 0 0 K
(q) 255.3 403 T
(q) 280.06 403 T
2 F
(*) 286.06 404.69 T
(c) 337.39 409.66 T
0 F
(1) 325.92 390.23 T
2 F
(r) 343.91 390.23 T
0 F
(\366) 345.21 390.82 T
0 9 Q
(1) 350.96 386.92 T
(2) 350.96 397.21 T
0 12 Q
(\320) 334.92 390.23 T
(-) 325.92 403 T
(-) 327.92 403 T
(-) 329.91 403 T
(-) 331.91 403 T
(-) 333.91 403 T
(-) 335.91 403 T
(-) 337.9 403 T
(-) 339.9 403 T
(-) 341.9 403 T
(-) 343.9 403 T
(-) 345.9 403 T
(-) 347.89 403 T
(-) 349.89 403 T
(-) 351.46 403 T
(\320) 310.83 403 T
(=) 267.3 403 T
(=) 298.06 403 T
354.5 420.4 325.68 420.4 322.08 386.41 3 L
0.54 H
2 Z
N
322.08 386.41 319.68 395.34 318.48 390.87 3 L
N
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 278 534 350 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
1 12 Q
0 X
0 0 0 1 0 0 0 K
(y) 188.74 314 T
(s) 197.06 314 T
0 F
(\366) 197.4 314.06 T
0 9 Q
(1) 202.19 310.4 T
1 12 Q
(x) 219.77 314 T
0 9 Q
(1) 225.6 310.4 T
0 12 Q
(+) 209.68 314 T
(\050) 184.45 314 T
(,) 194.06 314 T
(\051) 230.1 314 T
1 F
(A) 253.46 314 T
0 9 Q
(1) 261.25 310.4 T
1 12 Q
(b) 266.46 314 T
0 9 Q
(1) 272.92 310.4 T
2 12 Q
(r) 282.97 314 T
0 F
(\366) 284.27 314.59 T
0 9 Q
(1) 290.01 310.69 T
2 12 Q
(c) 314.91 314 T
0 F
(1) 327.05 314 T
2 F
(r) 345.05 314 T
0 F
(\366) 346.34 314.59 T
0 9 Q
(1) 352.09 310.69 T
(2) 352.09 320.99 T
0 12 Q
(\320) 336.05 314 T
2 F
(\050) 322.2 314 T
(\051) 357.44 314 T
0 F
(\320) 297.51 314 T
2 F
(\050) 278.12 314 T
(\051) 362.29 314 T
(s) 379.05 314 T
1 F
(n) 386.99 314 T
0 F
(1) 402.1 314 T
1 F
(x) 421.18 314 T
0 F
(+) 411.1 314 T
(+) 369.28 314 T
(=) 240.09 314 T
360.24 329.48 314.91 329.48 311.31 310.18 3 L
0.54 H
2 Z
N
311.31 310.18 308.91 315.44 307.71 312.81 3 L
N
425.35 324.74 402.1 324.74 398.5 312.74 3 L
N
398.5 312.74 396.1 316.17 394.9 314.46 3 L
N
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 189 534 261 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
1 12 Q
0 X
0 0 0 1 0 0 0 K
(P) 234.63 225 T
2 F
(s) 247.51 225 T
(\050) 242.67 225 T
(\051) 255.6 225 T
1 F
(Q) 278.36 225 T
2 F
(r) 292.82 234.5 T
0 F
(\366) 294.11 235.09 T
0 9 Q
(1) 299.86 231.19 T
2 12 Q
(c) 324.75 234.5 T
0 F
(1) 336.9 234.5 T
2 F
(r) 354.89 234.5 T
0 F
(\366) 356.19 235.09 T
0 9 Q
(1) 361.94 231.19 T
(2) 361.94 241.49 T
0 12 Q
(\320) 345.9 234.5 T
2 F
(\050) 332.05 234.5 T
(\051) 367.29 234.5 T
0 F
(\320) 307.36 234.5 T
2 F
(s) 311.21 214.3 T
0 F
(1) 327.55 214.3 T
2 F
(c) 346.31 214.3 T
0 F
(+) 336.54 214.3 T
(-) 292.82 225.28 T
(-) 294.82 225.28 T
(-) 296.81 225.28 T
(-) 298.81 225.28 T
(-) 300.81 225.28 T
(-) 302.81 225.28 T
(-) 304.81 225.28 T
(-) 306.8 225.28 T
(-) 308.8 225.28 T
(-) 310.8 225.28 T
(-) 312.8 225.28 T
(-) 314.8 225.28 T
(-) 316.79 225.28 T
(-) 318.79 225.28 T
(-) 320.79 225.28 T
(-) 322.79 225.28 T
(-) 324.79 225.28 T
(-) 326.78 225.28 T
(-) 328.78 225.28 T
(-) 330.78 225.28 T
(-) 332.78 225.28 T
(-) 334.78 225.28 T
(-) 336.77 225.28 T
(-) 338.77 225.28 T
(-) 340.77 225.28 T
(-) 342.77 225.28 T
(-) 344.77 225.28 T
(-) 346.76 225.28 T
(-) 348.76 225.28 T
(-) 350.76 225.28 T
(-) 352.76 225.28 T
(-) 354.76 225.28 T
(-) 356.75 225.28 T
(-) 358.75 225.28 T
(-) 360.75 225.28 T
(-) 362.75 225.28 T
(-) 364.75 225.28 T
(-) 366.74 225.28 T
(-) 367.29 225.28 T
2 F
(\350) 287.73 213.82 T
(\370) 371.79 213.82 T
(\347) 287.73 224.1 T
(\367) 371.79 224.1 T
(\346) 287.73 234.39 T
(\366) 371.79 234.39 T
0 F
(=) 265.6 225 T
370.09 249.98 324.75 249.98 321.16 230.68 3 L
0.54 H
2 Z
N
321.16 230.68 318.76 235.94 317.56 233.31 3 L
N
351.7 225.04 327.55 225.04 323.95 213.04 3 L
N
323.95 213.04 321.55 216.48 320.35 214.76 3 L
N
72 72 540 720 C
0 0 612 792 C
72 72 540 720 C
78 100 534 172 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
2 12 Q
0 X
0 0 0 1 0 0 0 K
(c) 280.9 136 T
(r) 309.31 145.5 T
0 F
(\366) 310.61 146.09 T
0 9 Q
(1) 316.36 142.19 T
(2) 316.36 152.49 T
0 12 Q
(1) 300.32 123.51 T
2 F
(r) 318.31 123.51 T
0 F
(\366) 319.61 124.09 T
0 9 Q
(1) 325.36 120.2 T
(2) 325.36 130.49 T
0 12 Q
(\320) 309.31 123.51 T
(-) 300.32 136.28 T
(-) 302.31 136.28 T
(-) 304.31 136.28 T
(-) 306.31 136.28 T
(-) 308.31 136.28 T
(-) 310.31 136.28 T
(-) 312.3 136.28 T
(-) 314.3 136.28 T
(-) 316.3 136.28 T
(-) 318.3 136.28 T
(-) 320.3 136.28 T
(-) 322.29 136.28 T
(-) 324.29 136.28 T
(-) 325.86 136.28 T
2 F
(>) 290.49 136 T
72 72 540 720 C
0 0 612 792 C
0 0 0 1 0 0 0 K
FMENDPAGE
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612 792 0 FMBEGINPAGE
[0 0 0 1 0 0 0]
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[ 0 1 0 0 1 0 1]
[ 0 0 1 0 1 1 0]
 7 FrameSetSepColors
FrameNoSep
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
0 14 Q
0 X
0 0 0 1 0 0 0 K
(the minimum is achie) 72 710.67 T
(v) 192.6 710.67 T
(ed when) 199.39 710.67 T
(no) 72 617.93 T
(w with the choice of q) 85.65 617.93 T
0 11.2 Q
(*) 210.46 623.53 T
0 14 Q
(where n is a Gaussian random v) 72 528.93 T
(ariable with unit v) 250.5 528.93 T
(ariance. After some boring b) 352.42 528.93 T
(ut) 512.71 528.93 T
(straightforw) 72 511.93 T
(ard algebra, we get) 140.29 511.93 T
(\050b\051 to minimize error probability) 72 387.93 T
(, we only need to minimize) 253.85 387.93 T
(the minimum is achie) 72 298.93 T
(v) 192.6 298.93 T
(ed when) 199.39 298.93 T
(\050c\051 under the constraint ||x) 72 189.2 T
0 11.2 Q
(1) 218.34 185.7 T
0 14 Q
(||) 223.94 189.2 T
0 11.2 Q
(2) 229.54 194.8 T
0 14 Q
(=x) 235.14 189.2 T
72 72 540 720 C
78 634 534 706 C
0 0 0 1 0 0 0 K
0 0 0 1 0 0 0 K
1 12 Q
0 X
0 0 0 1 0 0 0 K
(q) 235.37 670 T
(q) 260.13 670 T
2 F
(*) 266.13 671.69 T
1 F
(A) 324.53 679.51 T
0 9 Q
(1) 332.31 675.91 T
(2) 332.31 686.26 T
2 12 Q
(r) 337.52 679.51 T
0 F
(\366) 338.82 680.1 T
0 9 Q
(1) 344.57 676.2 T
1 12 Q
(A) 298.2 657.23 T
0 9 Q
(1) 305.99 653.63 T
(2) 305.99 663.98 T
0 12 Q
(1) 316.05 657.23 T
2 F
(r) 334.04 657.23 T
0 F
(\366) 335.34 657.82 T
0 9 Q
(1) 341.08 653.92 T
(2) 341.08 664.21 T
0 12 Q
(\320) 325.04 657.23 T
2 F
(\050) 311.2 657.23 T
(\051) 346.44 657.23 T
(s) 363.2 657.23 T
0 9 Q
(2) 370.89 663.98 T
0 12 Q
(+) 353.43 657.23 T
(-) 297.59 670 T
(-) 299.59 670 T
(-) 301.59 670 T
(-) 303.58 670 T
(-) 305.58 670 T
(-) 307.58 670 T
(-) 309.58 670 T
(-) 311.58 670 T
(-) 313.57 670 T
(-) 315.57 670 T
(-) 317.57 670 T
(-) 319.57 670 T
(-) 321.57 670 T
(-) 323.56 670 T
(-) 325.56 670 T
(-) 327.56 670 T
(-) 329.56 670 T
(-) 331.55 670 T
(-) 333.55 670 T
(-) 335.55 670 T
(-) 337.55 670 T
(-) 339.55 670 T
(-) 341.55 670 T
(-) 343.54 670 T
(-) 345.54 670 T
(-) 347.54 670 T
(-) 349.54 670 T
(-) 351.54 670 T
(-) 353.53 670 T
(-) 355.53 670 T
(-) 357.53 670 T
(-) 359.53 670 T
(-) 361.52 670 T
(-) 363.52 670 T
(-) 365.52 670 T
(-