Sink blocks (Scope, Display, To Workspace) in Simulink - Time & Space Complexity

Time Complexity: Sink blocks (Scope, Display, To Workspace)

O(n)

Understanding Time Complexity

We want to understand how the time to run a Simulink model changes when using sink blocks like Scope, Display, and To Workspace.

How does the amount of data affect the time these blocks take to process and show results?

Scenario Under Consideration

Analyze the time complexity of this Simulink snippet that logs and displays signals.

    % Simulink model setup
    input_signal = rand(1, n); % input of size n
    
    % Signal passes through some blocks
    processed_signal = input_signal * 2;
    
    % Sink blocks
    % Scope(processed_signal);
    % Display(processed_signal);
    % ToWorkspace(processed_signal, 'out_data');
    

This code sends a signal of size n to three sink blocks that show or save the data.

Identify Repeating Operations

Look at what repeats as input size grows.

• Primary operation: Each sink block processes every data point in the signal.
• How many times: Once per data point, so n times for input size n.

How Execution Grows With Input

As the input size n grows, the sink blocks handle more data points one by one.

Input Size (n)	Approx. Operations
10	About 10 operations
100	About 100 operations
1000	About 1000 operations

Pattern observation: The work grows directly with the number of data points.

Final Time Complexity

Time Complexity: O(n)

This means the time to process data in sink blocks grows linearly with the input size.

Common Mistake

[X] Wrong: "Sink blocks process all data instantly, so time does not depend on input size."

[OK] Correct: Sink blocks handle each data point to display or save it, so more data means more work and more time.

Interview Connect

Understanding how data size affects sink blocks helps you explain performance in simulations and data logging tasks.

Self-Check

What if we changed the sink block to log data only every 10th point? How would the time complexity change?

Practice

1. Which Simulink sink block is best for showing a live numeric value during simulation?

easy

A. Display block

B. Scope block

C. To Workspace block

D. Gain block

Solution

1. Step 1: Understand the purpose of Display block

   The Display block shows numeric values updating live during simulation.

2. Step 2: Compare with other sink blocks

   Scope shows graphs, To Workspace saves data, Gain modifies signals, so they don't show live numbers directly.

3. Final Answer:

   Display block -> Option A

4. Quick Check:

   Live numeric value = Display block [OK]

Hint: Display shows live numbers; Scope shows graphs [OK]

Common Mistakes:

• Confusing Scope with Display
• Thinking To Workspace shows live values
• Selecting Gain which is not a sink block

2. Which of the following is the correct way to configure a To Workspace block to save data as a structure?

easy

A. Set 'Save format' to 'Array'

B. Set 'Save format' to 'Timeseries'

C. Set 'Save format' to 'Structure with time'

D. Set 'Save format' to 'Matrix'

Solution

1. Step 1: Identify the save format options in To Workspace block

   To Workspace block allows saving data as Array, Structure with time, Timeseries, or Matrix.

2. Step 2: Choose the option that saves data as a structure

   'Structure with time' saves data as a structure containing time and signals.

3. Final Answer:

   Set 'Save format' to 'Structure with time' -> Option C

4. Quick Check:

   Structure save format = 'Structure with time' [OK]

Hint: Structure format is named 'Structure with time' in To Workspace [OK]

Common Mistakes:

• Choosing 'Array' which saves plain arrays
• Confusing 'Timeseries' with structure
• Selecting 'Matrix' which is not a valid option

3. Given this Simulink model snippet:

Signal -> To Workspace block (Save format: Array)

After simulation, what is the format of the saved data in MATLAB workspace?

medium

A. A numeric array containing signal values only

B. A structure with time and signals fields

C. A timeseries object with time and data

D. A cell array with signal data

Solution

1. Step 1: Understand 'Array' save format in To Workspace block

   When 'Array' is selected, only the signal values are saved as a numeric array without time info.

2. Step 2: Compare with other formats

   Structure and Timeseries formats include time; cell arrays are not used here.

3. Final Answer:

   A numeric array containing signal values only -> Option A

4. Quick Check:

   Save format 'Array' = numeric array [OK]

Hint: Array format saves only values, no time info [OK]

Common Mistakes:

• Assuming time is saved with Array format
• Confusing Array with Timeseries
• Expecting a structure instead of array

4. You added a Scope block but see no graph during simulation. What is the most likely cause?

medium

A. The simulation time is zero

B. The Display block is missing

C. The To Workspace block is set to 'Array' format

D. The Scope block is not connected to any signal

Solution

1. Step 1: Check Scope block connection

   Scope requires a connected signal to display data; no connection means no graph.

2. Step 2: Evaluate other options

   Display block absence doesn't affect Scope; To Workspace format doesn't affect Scope display; simulation time zero means no data but usually simulation runs longer.

3. Final Answer:

   The Scope block is not connected to any signal -> Option D

4. Quick Check:

   Scope needs signal connection [OK]

Hint: Scope shows graphs only if connected to signals [OK]

Common Mistakes:

• Thinking Display block affects Scope
• Confusing To Workspace settings with Scope display
• Ignoring signal connections

5. You want to analyze simulation data after running a model. Which sink block should you use to save the data for MATLAB post-processing, and how should you configure it to include time information?

hard

A. Use Scope block; enable data logging

B. Use To Workspace block; set 'Save format' to 'Structure with time'

C. Use Display block; no configuration needed

D. Use To Workspace block; set 'Save format' to 'Array'

Solution

1. Step 1: Identify the sink block for saving data

   To Workspace block is designed to save simulation data to MATLAB workspace for post-processing.

2. Step 2: Choose the save format to include time

   Setting 'Save format' to 'Structure with time' saves both signal data and time stamps.

3. Final Answer:

   Use To Workspace block; set 'Save format' to 'Structure with time' -> Option B

4. Quick Check:

   Save data with time = To Workspace + 'Structure with time' [OK]

Hint: To save with time, use To Workspace + 'Structure with time' [OK]

Common Mistakes:

• Using Display or Scope blocks to save data
• Choosing 'Array' format which lacks time info
• Not configuring save format properly