+ Post New Thread

Results 1 to 6 of 6

- 13th January 2013, 08:43 #1

- Join Date
- Jun 2011
- Posts
- 16
- Helped
- 0 / 0
- Points
- 544
- Level
- 4

## Time Scaling of Signals

I have a very basic question to ask! I have just started a course on signals and systems and I am finding time shifting and time scaling very confusing. I don't understand how by multiplying by a factor >1 the original signal gets compressed i.e. why is x(4t) is a compressed version of x(t). Please can any1 help regarding this. Can any1 give me a sound explanation regarding this question! Thanks in advance...

- 13th January 2013, 08:43

- 13th January 2013, 16:23 #2

- Join Date
- Jun 2012
- Posts
- 192
- Helped
- 26 / 26
- Points
- 1,362
- Level
- 8

## Re: Time Scaling of Signals

let explain the problem with your example: x(t)=t so x(4t)=4t. if we want calculate two function in 1, x(1)=1 but in second function we should use t=1/4 because we want 1 in parentheses and if you draw these functions you can see second function is compress.

- 13th January 2013, 16:23

- 13th January 2013, 16:35 #3

- Join Date
- Dec 2012
- Location
- Madurai, India
- Posts
- 16
- Helped
- 1 / 1
- Points
- 101
- Level
- 1

## Re: Time Scaling of Signals

Refer the below link for the clear concept on your doubt. I hope it would be more helpful and easy to understand

http://cnx.org/content/m10125/latest/

- 13th January 2013, 16:35

- 15th January 2013, 04:11 #4

- Join Date
- Jun 2011
- Posts
- 16
- Helped
- 0 / 0
- Points
- 544
- Level
- 4

## Re: Time Scaling of Signals

Thanks for your answer ahmad1954!!!

I didn't quite understand what you meant by "if we want calculate two function in 1"...what i did understand is that in the transformed graph the time axis is 1/a times (say t') the original graph's time axis (say t)...but how does the transformed graph become x(2t') i cannot understand. Can you please elaborate a bit. Thanks in advance...!!!!

- 18th January 2013, 14:26 #5

- Join Date
- Jun 2012
- Posts
- 192
- Helped
- 26 / 26
- Points
- 1,362
- Level
- 8

## Re: Time Scaling of Signals

x(t)=t and x(4t)=4t. suppose y(t)=x(4t)=4t. so x(t)=t and y(t)=4t. now if draw these function you can see scaling on y(t). do you understand?

Last edited by ahmad1954; 18th January 2013 at 14:36.

- 20th January 2013, 10:22 #6

- Join Date
- Feb 2010
- Location
- India
- Posts
- 18
- Helped
- 0 / 0
- Points
- 1,121
- Level
- 7

## Re: Time Scaling of Signals

If t becomes 2t means actually the FREQUENCY is multiplied twice not the time.

Hence time period automatically contracts. Hope you got it.

+ Post New Thread

Please login