Which one of the below is CORRECT for the system below: $y(n) = nx(an + 1) + 5$ MEMORYLESS CAUSAL LINEAR TIME INVARIANT TIME VARYING NOT LINEAR NOT CAUSAL NOT STABLE NOT MEMORYLESS STABLE
Added by Alisha H.
Close
Step 1
Memoryless: A system is memoryless if the output at any given time depends only on the input at that same time. In this case, the output y(n) depends on the input x(n) and the value of n, so it is not memoryless. Show more…
Show all steps
Your feedback will help us improve your experience
Kirsty Gledhill and 82 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consider the following systems described by its input and output relationship. State that whether it is memoryless, stable, causal, linear, and time invariant for each system. Give your results in a table. a) y(t) = sin(x(t)) b) y(t) = x(3 - t) c) y(t) = d/dt x(t) d) y[n] = 3x[n]u[n] e) y[n] = sum_{k=-inf}^{n} x[k + 3]
Madhur L.
Determine whether the systems are memoryless, invertible, causal, stable, time-invariant (fixed), and linear: system | memoryless | invertible | causal | stable | fixed | linear y[n] = sin(x[n - 1]) y[n] = 1/3(x[n + 1] + x[n] + x[n - 1]) y[n] = (n + 1)x[n] y[n] = x^2[n + 1] + 2
Adi S.
Problem 2 Determine whether each of the discrete-time systems below is: (a) linear, (b) shift-invariant, (c) causal, and (d) BIBO stable: (i) y[n] = (n+1)/x[n] (ii) y[n] = sin(x[n + 1]) (iii) y[n] = max{x[n - 1], x[n], x[n + 1]} (iv) y[n] = ̓∑_{k=-∞}^{n} x[k].
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
