Identifying time and/or amplitude transformations

AI Thread Summary
To identify the time and amplitude transformations for the signal y(t) = −3x(2[t −1]), the transformations must be applied in a specific order: time shifting before time scaling, and amplitude scaling before amplitude shifting. The time shift occurs with the term (t - 1), indicating a shift to the right by 1 unit. The time scaling is represented by the factor of 2, which compresses the signal by a factor of 2. The amplitude scaling is indicated by the factor of -3, which scales the signal by -3, and the negative sign reflects a reversal. Understanding this order and the roles of each component is crucial for correctly applying the transformations.
Drew Carter
Messages
5
Reaction score
0
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
 
Engineering news on Phys.org
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.
 
While I was rolling out a shielded cable, a though came to my mind - what happens to the current flow in the cable if there came a short between the wire and the shield in both ends of the cable? For simplicity, lets assume a 1-wire copper wire wrapped in an aluminum shield. The wire and the shield has the same cross section area. There are insulating material between them, and in both ends there is a short between them. My first thought, the total resistance of the cable would be reduced...
Hi all I have some confusion about piezoelectrical sensors combination. If i have three acoustic piezoelectrical sensors (with same receive sensitivity in dB ref V/1uPa) placed at specific distance, these sensors receive acoustic signal from a sound source placed at far field distance (Plane Wave) and from broadside. I receive output of these sensors through individual preamplifiers, add them through hardware like summer circuit adder or in software after digitization and in this way got an...
I am not an electrical engineering student, but a lowly apprentice electrician. I learn both on the job and also take classes for my apprenticeship. I recently wired my first transformer and I understand that the neutral and ground are bonded together in the transformer or in the service. What I don't understand is, if the neutral is a current carrying conductor, which is then bonded to the ground conductor, why does current only flow back to its source and not on the ground path...

Similar threads

Back
Top