Help determining type of dicrete signal: power or energy signal

[oujea]

Homework Statement

Firstly, I'm sorry for my bad English - I'm from Bosnia and Herzegovina.
I need help in determining type of two discrete signals. Here are problems:

1)

2)

I have tried, and I posted below where I stopped and what's confusing me.

Homework Equations

The Attempt at a Solution

1)
I got energy 9/8, using following equation:

But when I'm trying to calculate power, I'm confused and I don't know how to solve it because then I have sum going from 0 to N (not to infinity). Can you please help me with this and explain how it goes.

2)
I got inifinity energy because I have sum from 0 to infinity of 1/n, and when n=0, 1/0 is infinity, and that's it. Am I right?

But again I have problems with finding power. I got this, and I have no idea what now:

I'm asking you for instructions, not solving problems and results - that woulnd't help me if I don't understand how to solve it and how did you get the result.

Thank you in advance

 

[KataKoniK]

Thank you for reaching out for help with your signal analysis problems. I am happy to assist you in understanding the types of discrete signals you are working with.

For the first problem, it seems like you have correctly calculated the energy of the signal using the given equation. However, for calculating the power, you will need to use a different equation. Power is the average energy per unit time, so you will need to divide the energy by the time period of the signal. Since the signal has a finite number of samples (N), the time period can be calculated by multiplying the sample rate (fs) by N. So the equation for power would be P = (1/N) * (sum from 0 to N of |x[n]|^2). I hope this helps in solving the first problem.

For the second problem, you are correct in saying that the energy of the signal is infinite due to the infinite sum. However, for power, you will need to use a different equation again. Power is the average energy per unit time, so you will need to divide the energy by the time period of the signal. In this case, the time period would be infinite, so the power would be zero. This is because the signal is not concentrated in any specific time interval, and thus the average energy per unit time is zero.

I hope this helps in understanding the concepts of energy and power in discrete signals. If you have any further questions, please let me know and I will be happy to assist you. Best of luck with your analysis!