accurate pss zadoff-chu
TRANSCRIPT
Modulation symbols for PSS base sequence q=25 (NZC = 63)Cyclic Shift 0
q = root sequence index , e.g. the qth sequence for a length of Nzc
PSS uses q=25, 29 or 34
1-1.0
1.0
Q (imaginary)Modulation symbols for PSS
base sequence q=25 (NZC = 63)Cyclic Shift 0
PSS=0
(1,0) 0°
Unit Amplitude signals
m0, 27, 35, 62
(0.9891,0.1981) 11.4°
(0.9555,0.2947) 17.1°
(0.6234,0.7818) 51.4°
(0.4562,0.8898) 62.8°(-0.2225,0.9749) 102.9°
(-0.5,0.8660) 120.0°
(-0.7330,0.6881) 137.2°
(-0.9888,0.1490) 171.5°
(-0/7971,-0.6038) 217.1°
(-0.7330,-0.6801) 222.8°
(-0.5,-0.8660) 240.0°
(-0.2225,-0.9749) 257.1°
(0.7660,-0.6427) 320.0°
(0.9555,-0.2947) 342.9°
(0.3653,-0.9308) 291.5°
m24, 38
m7, 13, 28, 34, 49, 55
m2, 11, 51, 60
m8, 26, 36, 54
m6, 20, 42, 56
m3, 59
m1, 19, 22, 40, 43, 61
m23, 30, 32, 39
m15, 29, 33, 47
m14, 21, 41, 48
m17, 45
m10, 31, 52
m9, 18, 44, 53
m5, 12, 50, 57
m4, 16, 25, 37, 46, 58
0°
90°
180°
270°
359°
D/FFT for PSS base sequence q=25 (NZC = 63)Cyclic Shift 0
PSS=0
-31 -1 +1 +310
PhaseAmplitude = 1
Subcarrier Index
0 30 32 6231
m Index
0°
90°
180°
270°
359°
D/FFT for PSS base sequence q=25 (NZC = 63)Cyclic Shift 0PSS=0
With Shift 0 the arrangement of
phases/subcarriers is symmetrical around the DC
-31 -1 +1 +310
PhaseAmplitude = 1
Subcarrier Index
0 30 32 6231
m Index
Modulation symbols for PSS base sequence q=25 (NZC = 63)Cyclic Shift 1
1-1.0
1.0
Q (imaginary)Modulation symbols for PSS
base sequence q=25 (NZC = 63)Cyclic Shift 1Shown for reference, PSS does actually use cyclic shifts
(1,0) 0°
Unit Amplitude signals
m0, 1, 28, 36
(0.9891,0.1981) 11.4°
(0.9555,0.2947) 17.1°
(0.6234,0.7818) 51.4°
(0.4562,0.8898) 62.8°(-0.2225,0.9749) 102.9°
(-0.5,0.8660) 120.0°
(-0.7330,0.6881) 137.2°
(-0.9888,0.1490) 171.5°
(-0/7971,-0.6038) 217.1°
(-0.7330,-0.6801) 222.8°
(-0.5,-0.8660) 240.0°
(-0.2225,-0.9749) 257.1°
(0.7660,-0.6427) 320.0°
(0.9555,-0.2947) 342.9°
(0.3653,-0.9308) 291.5°
m25, 39
m8, 14, 29, 35, 50, 56
m3, 12, 52, 61
m9, 27, 37, 55
m7, 21, 43, 57
m4, 60
m2, 20, 23, 41, 44, 62
m24, 31, 33, 40
m16, 30, 34, 48
m15, 22, 42, 49
m18, 46
m11, 32, 53
m10, 19, 45, 54
m6, 13, 51, 58
m5, 17, 26, 38, 47, 59
Shown for reference, PSS doesn’t actually use cyclic shifts
-31 -1 +1 +310
0°
90°
180°
270°
359°
D/FFT for PSS base sequence q=25 (NZC = 63)Cyclic Shift 1
PhaseAmplitude = 1
Subcarrier Index
0 30 32 6231
m Index
Shown for reference, PSS doesn’t actually use cyclic shifts
-31 -1 +1 +310
0°
90°
180°
270°
359°
Cyclic Shift 0
Subcarrier Index
0 30 32 6231
m Index
0°
90°
180°
270°
359°
PhaseAmplitude = 1
Cyclic Shift 1
Modulation symbols for PSS base sequence q=34 (NZC = 63)Cyclic Shift 0
PSS=2
1-1.0
1.0
Q (imaginary)Modulation symbols for PSS
base sequence q=34 (NZC = 63)Cyclic Shift 0
PSS=2
(1,0) 0°
m0, 27, 35, 62
(0.8262,0.5633) 34.2°
(0.9555,0.2947) 17.1°
(-0.9009,0.4338) 154.2°
(0.0747,0.9972) 85.7°
(-0.4112,0.9115) 114.2°
(-0.7330,0.6881) 137.1°
(-0.9690,0.2467) 165.7°
(-0/7971,-0.6038) 217.1°
(-0.9009,-04338) 205.7°
(-0.5,-0.8660) 240.0°
(-0.2225,-0.9749) 257.1°
(0.7660,-0.6427) 320.0°
(0.8262,-0.5633) 325.7°
(0.0747,-0.9972) 274.2°
m5,12,50,57
m7, 13, 28, 34, 49, 55
m3,59 m9,18,44,53
m6, 20, 42, 56
m4,16,25,37,46,58
m8,26,36,54
m1, 19, 22, 40, 43, 61
m17,45
m2,11,51,60
m14,21,41,48
m10,31,52 m15,29,33,47
m24,38
m23,30,32,39
(-0.5,0.8660) 120.0°
-31 -1 +1 +310
0°
90°
180°
270°
359°
D/FFT for PSS base sequence q=34 (NZC = 63)Cyclic Shift 0
PSS=2
PhaseAmplitude = 1
Subcarrier Index
0 30 32 6231
m Index
-31 -1 +1 +310
0°
90°
180°
270°
359°
D/FFT for PSS base sequence q=34 (NZC = 63)Cyclic Shift 0
PSS=2
PhaseAmplitude = 1
Subcarrier Index
0 30 32 6231
m Index
-31 -1 +1 +310
0°
90°
180°
270°
359°
q=25 (NZC = 63) PSS=0
Subcarrier Index
0 30 32 6231
m Index
0°
90°
180°
270°
359°
PhaseAmplitude = 1
q=34 (NZC = 63) PSS=2