You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


1. Field of the Invention
The present invention relates generally to a communication method and apparatus for a downlink in a mobile communication system, and in particular, to a communication method and apparatus for transmitting and receiving common control channels in a mobile communication system.
2. Description of the Related Art
Recently, Orthogonal Frequency Division Multiplexing (OFDM) technology is widely being applied as a technology for broadcasting and mobile communication systems. OFDM technology cancels interference between multi-path signal components existing in mobile communication channels, and ensures orthogonality between multi-access users. In addition, OFDM technology enables efficient use of frequency resources, making it a technology suitable for high-speed data transmission and broadband systems.
FIG. 1 illustrates a structure of an OFDM signal in time and frequency domains. Referring to FIG. 1, one OFDM symbol 100 includes N subcarriers 102 in terms of the frequency domain. Individual modulation symbols 104 of transmission information are simultaneously carried on each of the subcarriers 102 in parallel. As stated above, OFDM technology, a multi-carrier transmission technology, can carry transmission data and control channel information on several subcarriers on a distributed basis for parallel transmission.
In FIG. 1, reference numerals 106 and 108 indicate start points of ith and (i+1)th OFDM symbols, respectively. In an OFDM-based mobile communication system, each physical channel is composed of one or more subcarrier symbols 104. One subcarrier interval within one OFDM symbol interval is called a “Resource Element (RE) 106” herein.
In the mobile communication system, for demodulation of received data and control information, synchronization and a cell search should first be established between a transmitter and a receiver. The downlink synchronization and cell search process refers to a process of determining a frame start point of physical channels transmitted from a cell to which a User Equipment (UE) belongs, and determining a cell-specific scrambling code applied during transmission of the physical channels. This process is referred to herein as a “cell search process”, for short. The cell search process performed by detecting a downlink Synchronization Channel (SCH) code by a UE. The UE acquires synchronization between a transmitter and a receiver and a cell Identifier (ID) for demodulation of data and control information through the cell search process.
The UE, after a success cell search, decodes a Broadcasting Channel (BCH), which is a common control channel for transmission of system information. The UE obtains system information for the cell through reception of the BCH. The system information includes information necessary for transmitting and/or receiving data channels and other control channels, such as cell ID, system bandwidth, channel setup information, etc.
FIG. 2 illustrates an OFDM-based downlink frame structure of Enhanced Universal Terrestrial Radio Access (EUTRA), which is a standard for the next generation mobile communication technology of the 3rd Generation Partnership Project (3GPP), and transmission points of synchronization channels.
As illustrated in FIG. 2, a 10-ms radio frame 200 includes 10 subframes 206, each of which includes 2 slots. Generally, 7 OFDM symbols 205 are formed in one slot 201. In the downlink, SCH is classified into two types: Primary Synchronization Channel (P-SCH) 203 and Secondary Synchronization Channel (S-SCH) 204. The SCHs are transmitted in the last two OFDM symbol intervals within the slots 201 and 202.
Similarly, the BCH carrying system information is also classified into a Primary BCH (P-BCH) and a Dynamic BCH (D-BCH). The P-BCH, a channel that a UE first receives from the SCHs after initial cell search, transmits the core system information that the UE must receive before the D-BCH.
However, most system information transmitted on the P-BCH is generally the type of information that rarely changes over time, and a Transmission Time Interval (TTI) of the P-BCH can be greater than a timing of a frame 200, the synchronization of which the UE acquires by means of the SCH. The term “TTI” as used herein is a period in which a channel coding block generated by channel-coding information transmitted on the P-BCH is transmitted. For example, although 10-ms frame synchronization is acquired through the SCH-based cell search, the channel coding block of P-BCH may be 40-ms TTI long as it is transmitted over 4 frames. In this case, the UE should acquire even a timing of the 40-ms TTI in order to normally decode the P-BCH. Therefore, there is a demand for a common control channel transmission and/or reception method and apparatus capable of acquiring a timing of the P-BCH and decoding P-BCH information with low complexity, even when a TTI of common control channels is greater than an interval of frame synchronization acquired through synchronization channels in the mobile communication system.