It cannot be done with analog circuits.

Since you won’t tell me what resolutions you need, I will make some assumptions, making it fairly low.

1ms time resolution. Pulses are digital, all the same voltage.

For 1 second of input, you need 500 bits of storage. Not practical with analog.

 

Dear all, I have restructured my question to make it more concise .

In the future, don't make significant modifications to a previous post that already has responses to it -- you remove the context of those responses so that nothing makes sense for future readers of the thread. Instead, just make a new post with the clarifications.

 

View attachment 281653
Dear all, may I ask if there is a circuit that produces the following input and output which basically reduces its frequency by 2 times which also basically stretch out the input waveform to produce the following output?

Thank you for reading

What you are asking for is not realizable, even with a microcontroller, because you would need to have a definitive start time as a reference.

 

I have a feeling there is a communication problem here.

@MrsssSu: Can you tell us what you are going to do with this? What problem are you trying to solve? Because it is hard to make sense of what you seem to be asking for.

 

WHY ?????
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As a hybrid analogue/digital solution for pulses in the audio frequency range you could record a pulse train as an audio signal using Audacity, then play back in Audacity at half speed.

 

If I were to use an analogy, you have a bucket being filled at 2gal/min and want to empty it at 1gal/min. How are you going to keep the bucket from overflowing?