Apple Inc. v. Samsung Electronics Co. Ltd. et al

Filing 662

EXHIBITS re #660 Administrative Motion to File Under Seal Apple Inc.'s Notice of Motion and Motion for Partial Summary Judgment Exhibits to Mueller Declaration ISO Apple's Motion for Partial Summary Judgment [660-9] filed byApple Inc.(a California corporation). (Attachments: #1 Exhibit Mueller Decl Exhibit 26, #2 Exhibit Mueller Decl Exhibit 27, #3 Exhibit Mueller Decl Exhibit 28, #4 Exhibit Mueller Decl Exhibit 29, #5 Exhibit Mueller Decl Exhibit 30, #6 Exhibit Mueller Decl Exhibit 31, #7 Exhibit Mueller Decl Exhibit 32, #8 Exhibit Mueller Decl Exhibit 33, #9 Exhibit Mueller Decl Exhibit 34, #10 Exhibit Mueller Decl Exhibit 35, #11 Exhibit Mueller Decl Exhibit 36, #12 Exhibit Mueller Decl Exhibit 37, #13 Exhibit Mueller Decl Exhibit 38, #14 Exhibit Mueller Decl Exhibit 39, #15 Exhibit Mueller Decl Exhibit 40, #16 Exhibit Mueller Decl Exhibit 41)(Related document(s) #660 ) (Selwyn, Mark) (Filed on 1/25/2012)

Mueller Exhibit 32

3GPP TSG RAN WG1/WG2 Joint Meeting on HSDPA
Sophia Antipolis, FR
April 5-6, 2001

Agendaltem:
Source:
Title:

12A010044

4
Samsung Electronics Co.
Enhanced Symbol Mapping method for the modulation of Turbocoded bits based on bit priority

Document for:

Discussion and approval

1. Introduction
This contribution proposes enhanced symbol mapping method for the modulation of
Turbo-coded bits based on bit priority in HSDPA channel structure. The output of
Turbo encoder consists of systematic (S) bits and parity (P) bits and it is well known
that S bits have higher priority than P bits for the decoder performance. In HSDPA, high
order modulations, e.g., 16QAM, 64QAM, are used, whose symbol consists of bits with
different reliability. Then it is expected that the overall system performance would be
improved if higher priority bits have higher reliability. Based on this idea, this
contribution suggests an enhanced symbol mapping method, where S bits are mapped to
high reliability bits and P bits to low reliability bits for modulation. The performance
gain of the proposed method is evaluated by simulations for 16QAM and 64 QAM.

2. Current HSDPA channel structure
Figure 1 shows the current HSDPA channel structure [1].

i/ Transfort
B bcks

Rate
M atchhg

In ter bave ~

Figure 1 Current HSDPA channel structure

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The interleaver mixes the output S bits and P bits of turbo encoder randomly before the
symbol mapping for modulation. Thus, S bits and/or P bits are assigned to symbols
without considering their priorities.

3. Proposed structure

P

~

M odu hbr

Figure 2 proposed HSDPA channel structure
Figure 2 shows the proposed structure where the original interleaver is replaced by two
independent interleavers under the control of AMCS. The idea of separating S bits from
P bits was proposed in [2] for HARQ combining but, in [2],_no symbol includes S and P
bits simultaneously, while a symbol for the proposed method includes S and P bits
simultaneously according to the mapping rule.
P/S (Parallel to Serial) block maps the output of the interleavers to high (H) and low (L)
priority parts as shown in figure 3 for 3.33ms TTI, where S and P bits are placed on H
and L part respectively.
One Symbol
Length

3.33 ms
H : High priority
L : Low- priority

Figure 3 Parallel-to-Serial output

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Every symbol includes S part and In part and the size of two parts could be different
according to the coding rate. Figure 4 shows how to map the P/S output to a symbol.

One Symbol
4bit

One Symbol
6 bit

H : High priority
L : Low priority

I
[]

Low reliability

[]
[]

1

Symbol mapping

Medium reliability
High reliability
16 QAM

64 QAM

Figure 4 Symbol mapping of P/S output

4. Simulation results
The proposed method is compared with the conventional method under the following
simulation parameters.
¯ Code block size: 2304bits/3.33ms
¯ Coding rate: 0.5 (S and P parts are symmetric)
¯ Modulation: 160AM and 640AM
¯ Carrier Frequency: 2GHz
¯ Channel: AWGN and single path fading with speed 60km
¯ HARQ: off
For AWGN channel, referring to figure 5-6, about 0.3dB-0.7dB gain is achieved and the
gain of 640AM is better than that of 160AM. Since the gain difference between high
and low reliability bits is bigger for 640AM than 160AM, proposed method is more
efficient for 640AM. Also, in figure 7-8, the gain ldB-2.SdB for fading is bigger than
AWGN since separated interleaver gain may be added, i.e., independently interleaved

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bits are diffused to inherent place in symbols and it may has an effect as extra
interleaving.

5. Conclusion
An enhanced symbol mapping method is proposed for the modulation of Turbo coded
bits based on bit priority. Simulation results show that the BER performance improves
considerably by employing the proposed method. Therefore, it is suggested that the
proposed method be considered for HSDPA and included in RAN WG1 technical report.

6. ]~eference
[1] R1-01-0430, 3G TR25.848 v0.6.0 "Physical Layer Aspects of UTRA High Speed
Downlink Packet AccessL
[2] R1-01-0206, "Text p[oposal fo[ HARO complexity evaluation section of 1R25.848"
Panasonic.

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Annex A. Simulation results

~_~__ Conventional
Proposed

16QAM_awgn
1.0E+00
1.0E-01
1.0E-02
1.0E-03

i.i.i.i.i.i.i.i.i.i.i.i.i.i.i.i~i.i.i.i.i.i.i.i.i.i.i.i.i.i.i.i.i[i.i.i.i.i.i.i.i.i.i.i.i.i.i.i.i.~.i.i.i.i.i.i.i.i.i.i.i.i.i~i.i.i.i.i.i.i.i.i.i.i.i.i.i.i~

BER
1.0E-04

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

1.0E-05
1.0E-06
1.0E-07

-0.2

0

0.2 0.4

0.6 0.8

1

1.2 1.4

1.6

Eb/No(dB)
Figure 5 Bit error rate for 160AM under AWGN
64QAM_awgn

-*- Conventional
+ Proposed

1.0E+00
1.0E-01
1.0E-02
BER 1.0E-03
1.0E-04
1.0E-05
1.0E-06
2.9

3.4

3.9

Eb/No(dB)
Figure 6 Bit error rate for 64QAM under AWGN

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~_~__ Conventional
Proposed

16QAM_60Km
1.0E-01

BER 1.0E-02

1.0E-03
9.5

10.5

11.5

12.5

13.5

14.5

Eb/No(dB)
Figure 7 Bit error rate for 16QAM under fading (60km)

64QAM_60Km

--*- Conventional
+ Proposed

1.0E-01

BER

1.0E-02
9.5

10.5

11.5

12.5

13.5

14.5

Eb/No(dB)
Figure 8 Bit error rate for 640AM under fading (60km)

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