Identifying time and/or amplitude transformations

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SUMMARY

The discussion centers on identifying the time and amplitude transformations necessary to convert the signal x(t) into y(t) = −3x(2[t −1])−1. Participants emphasize the importance of applying time shifting before time scaling and amplitude scaling before amplitude shifting. The confusion arises primarily from interpreting the question's requirement to label and order the transformations correctly. Clear identification of time shifts and amplitude scalings is essential for solving the problem effectively.

PREREQUISITES
  • Understanding of signal transformations, including time shifting and amplitude scaling.
  • Familiarity with mathematical notation used in signal processing.
  • Knowledge of the properties of linear time-invariant (LTI) systems.
  • Basic skills in manipulating mathematical expressions related to signals.
NEXT STEPS
  • Study the principles of time shifting in signal processing.
  • Learn about amplitude scaling and its effects on signals.
  • Explore the order of operations in signal transformations.
  • Practice with examples of signal transformations to reinforce understanding.
USEFUL FOR

Students and professionals in electrical engineering, signal processing enthusiasts, and anyone looking to deepen their understanding of signal transformations and their applications.

Drew Carter
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So the question looks like this:
Identify the time and/or amplitude transformations that must be applied to the signal x(t) in order to obtain each
of the signal specified below. Choose the transformations such that time shifting precedes time scaling and
amplitude scaling precedes amplitude shifting. Be sure to clearly indicate the order in which the transformations
are to be applied.
(e) y(t) = −3x(2[t −1])−1

I've tried everything. I can't figure this out
 
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Try to break it down. Which parts of your equation represent a time shift and which are an amplitude scaling?
 
olivermsun said:
Try to break it down. Which parts of your equation represent a time shift and which are an amplitude scaling?
I guess I know the parts that are time shift and amplitude scaling. I just don't get what the question is asking. Do i write the parts and label them? I slightly get the first part of the question. It's the "chose the transformation such that" part that's confusing me. I don't need answers or anything. I just can't figure out the question.
 
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